Problems on Numbers - 1

1. If 30% of a certain number is 12.6, then find the number,
(a) 40 (b) 42 (c) 46 (d) None


2. The average of four consecutive even numbers is 27. Find the largest of these numbers.
(a) 26 (b) 26 (c) 28 (d) 30


3. A number consists of two digits. The sum of the digit is 9. if 63 is subtracted from the number, its digits are interchanged. Find the number
(a) 18 (b) 81 (c) Data Insufficient (d) None


4. A fraction becomes 2/3 when 1 is added to both, its numerator and denominator. And, it becomes 1/2 when 1 is subtracyed from both the numerator and denominator. Find the fraction
(a) 6/5 (b) 3/5 (c) 7/5 (d) None



5. A number exceeds its four-seventh by 18. What is the number
(a) 40 (b) 48 (c) 42 (d) None

6. If x% of y is same as 4/5 of 80, then the value of xy is
(a). 320 (b). 400 (c). 640 (d)d. None

7. Subtracting 6% of x, from x is equivalent to multiplying x by how much?
(a) .94 (b) 9.4 (c) .094 (d) 94

8. If 8% of x =4% of y, then 20% of x is:
(a) 10% of y (b) 16% of y (c) 80% of y (d) None of these

9. It is known that 20% of Oranges are rotten. If the number of rotten Oranges is 35, then total number of oranges are
(a) 150 (b) 175 (c) 180 (d) 185

10. If 70% of students in a school are boys and the number of girls is 504, the number of boys is :
(a) 1680 (b) 1176 (c) 1276 (d) None

11. A student has to secure 40% marks to pass. He gets 178 marks and fails by 22 marks. The Maximum marks are:
(a) 200 (b) 500 (c) 800 (d) 1000

12. A house owner was having his house painted. He was advised that he would require 25 kg of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg cans. What would be the cost of paint paint purchased, if one can cost Rs. 16 ?
(a) Rs.240 (b) Rs. 180 (c) Rs.160 (d) Rs.360

13. A reduction of 12.5% in the price of a dining table brought down its price to Rs.4375. The original price (in Rs) of the table was :
(a) Rs.6000 (b) Rs.5400 (c) 5200 (d) 5000

14. In a library 20% of Books are in Hindi, 50% of the remaining are in English and the remaining 9000 are in various other languages. What is the total number of books in English ?
(a) 4000 (b) 3000 (c) 2250 (d) None of these

15. A man spends 35% on his income on house rent, 75% of the remaining on other items. What percent of income does he save?
(a) 16.25 (b) 34.50 (c) 48.75 (d) None


Solutions
1. Let the required number be x,
Then (30/100) x =12.6, or x= (12.6 x 100)/30 = 42
:. Required number is =42

2. Sol: Let the four numbers be x, x+2, x+4 & x+6
Then total sum =(27x4) = 108, x + x+ 2 +x +4 + x +6 =108 or 4x =96 or x=24

:. Largest number = (x + 6) = 30

3. Sol : Let ten's digit =x. Then unit's digit = (9 - x)
10x + (9 - x) - 63 = 10(9 - x) + x or 9x - 53 = 90 - 9x
or 18x = 144 or x= s
:. Ten's Digit = 8, and unit,s digit = 1
Hence, the required number is 81

4. Sol: Let the required fraction be x/y then,
(x +1)/ (y + 1) =2/3 => 3x - 2y = -1 ......(i)
and (x - 1) / (y - 1) = 1/2 => 2x - y =1 .......(ii)
Solving (i) & (ii), we get x=3, y =5
:. required fraction = 3/5

5. Sol: x - 4x/7 = 18 => x = (18 x 7)/3 = 42

6. Sol: x - 4x/7 = 18 => x = (18 x 7)/3 = 42

7. Let X – 6% of X =XZ then 94% of X is =XZ

8. (8/100)X =(4/100)Y => X = 1/2Y

:. 20& of X = 20% of 1/2Y = 10% of Y

9. Let Total number of Oranges be X
20% of X=35 => (20/100)xX=35
X=(35x5) =175

10. Let the total number of students be X
Number of girls is 30% of X=504 => (30/100)X = 504 X= [ 504 x (100/30)] = 1680
No of boys = 70% of 1680 = 1176

11. 40% of X =178+22 or (40/100)X=200
or X=500

12. Let X be total paint required in Kg
15% of X +25 = X => X- X = 25
or X=(25x20)/17 =29.41 or 30Kg
So he must purchase 15 cans
Total Cost = Rs.(16 x15) = Rs.240

13. Let X be the original price of the dining table
87.5% of X = 4375 => (87.5/100)X =4375
X = 5000

14. Hindi Books = 20% of X =(20/100)X =X/5
Remaining Books = [X -X/5] = 4X/5
English Books 50% of 4X/5 = 2x/5
Remaining [4X/5 – 2X/5] = 2X/5
2X/5 = 9000 or X=22500

15. House Rent =(35/100)X =7X/20 Remaining = [X - 7X/20] =13X/20
Other Expenditure = [(75/100) x (13X/20) = 39X/80
Saving = [(13X/20 - 39X/80] = 13X/80
Saving Percentage = [(13X/80) x (1/x) x 100] = 65/4% =16.25%

Blood Relations - 1

1. Introducing Ragini, Babita said "She is the only daughter of my father's only daughter". How is Babita related to Raagini ?
1. niece 2. cousin 3. aunt 4. data inadiquate 5. none of these

2. M is the father of N, L s brother of M, P is mother of L. How is N related to P?
1. grandson 2. nephew 3. grand daughter 4. can't be determined 5. none of these

3. Introducing a girl, Rambabu said, " My wife's mother-in-law's husband's only son's son is her brother". How is Rambabu related to that girl?
1. uncle 2. brother 3. father 4. grand father 5. none of these

4. Introducing a boy, rani said, " His father is the only son of my mother-in-law". How is Rani related to that boy?
1. aunt 2. wife 3. sister 4. mother 5. none of these

5. Introducing a man , a woman said ," He is the only son of the mother of my mother". How is the woman related to the man?
1. Mother 2. sister 3. Niece 4. Maternal aunt 5. None of these

6. Introducing a woman, Sashi said " She is the mother of the only daughter of my son". How the woman is related to Sashi?
1. daughter 2. sister-in-law 3. wife 4. daughter-in-law 5. none of these

7. Pointing to a woman Akash said, "her grand daughter is the only daughter of my brother". How is the woman related to Akash?
1. Sister 2. Grandmother 3. Mother-in-law 4. Mother 5. Sister-in-law

8. Pointing to a person Dheeraj said, " His only brother is the father of my daughter". How is the person related to Dheeraj ?
1. Father 2. Grand father 3. uncle 4. brother-in-law 5. none of these

9. Pointing to Gautam, Neelima says, " I am the daughter of the only son of his grandfather." How is Neelima related to Gautam?
1. niece 2. daughter 3. sister 4. can't be detrmined 5. none of these

10. A is the son of C; C and Q are sisters; Z is the mother of Q and P is the son of Z. which of the following statements is true ?
1. P and A are cousins 2. P is maternal uncle of A 3. P is maternal grandfather of A 4. C and P are sisters 5. None of these

Answers

1. 5 (none of these)

Babita's father's only daughter is ---> Babita herself.

Babita's only daughter is ---> Ragini . So Babita is the mother of Raagini

2. 4 (Can not be determined)

M and L are brothers and thier mother is P. As the gender of N is not confirmed, we can not say how N is related to P. P is the grand father of N. If N is a male he is grandson of P or if N is female she is granddaughter of P.

3. 3 (Father)

My wife's mother-in-law's husband --> Rambabu's mother's husband ---> Rambabu's father. My wife's mother-in-laws's husbands only son's son ---> Rambabu's fathers only son's son ---> Rambabu's son is the brother to the girl. so Rambabu is the father to the girl

4. 4 (Mother)

Only son-in-law of my mother-in-law ---> Only son of Rani's mother-in-law --> Only son of Rani's husbands mother ---> Rani's husband himself. Rani's husband is the boys father. So, Rani is mother to the boy.

5. 3 (niece)

Mother of my mother ---> Mother of woman's mother ---> women's material grandmother. Only son of woman's maternal grandmother ---> women's mother's brother ---> woman's maternal uncle. so, the woman is niece to the man

6. 4 (Daughter-in-law)

Only daughetr of my son ---only daughter of Sashi's son ---> Sashi's grandson. She is the mother of Sashi's grandson ----> the woman is Sashi's son's wife --- Sashi is father-in-law to the woman. So, the woman is daughter-in-law to Sashi

7. 4 (Mother)

Only daughter of my brother --> only daughetr of Akash's brother. Her grand daughter is the only daughter of akash's brother. So, she is mother of Akash and Akash's brother.

8. 3 (Uncle)

my daughetr's father ---> Dheeraj's daughters father ---> Dheeraj only. The person's brother is the father of Dheeraj. Dheeraj is nephew of that person. So, the person is peternal uncle of Dheeraj.

9. 3 (Sister)

Only son of his grand father -----> only son of Goutham's grandfarher----> Gautam's father. Neelima is the daughter of Gautham's father. So, Neelima and Gautham are sibilings . Neelima is the sister to Gautam.

10. 2 (P is maternal uncle of A )

C, Q and P are sibilings and Z is thier mother . A is nephew of Q and P. Q is A's maternal aunt and P is A,s maternal uncle and Z is A,s maternal grand mother.

Test of Divisibility

Test of Divisibility

Divisibility by 2: A number is divisible by 2, if its unit is any of 0, 2, 4, 6, 8.

Divisibility by 3: A number is divisible by 3, if the sum of its digits is divisible by 3.

Ex. Which of the following number is divisible by 3?
(i) 541326 (ii) 5967013

Sol: Sum of digits in 541326 is 21, which is divisible by 3. So, 541326 is divisible by 3.
Sum of digits in 5967013 is 31, which is not divisible by 3. So 5967013 is divisible by 3
Hence 5967013 is not divisible by 3.

Divisibility by 9: A number is divisible by 9. If the sum of its digit is divisible by 9.

Ex. Which of the following numbers is divisible by 9 ?
(i) 19725462 (ii) 36870521

Sol: Sum of digits in 19725462 is 36, which is divisible by 9. So, 19725462 is divisible by 9
Sum of digits in 36870521 is 32, which is not divisible by 9.
So, 36870521 is not divisible by 9.

Divisibility by 4: A number is divisible by 4, if the number formed by last two digits is divisible by 4.

Ex. Which of the following numbers is divisible by 4
(i) 67920594 (ii) 618703572
Sol: The number formed by the last two digits in 67920594 is 94, which is not divisible by 4.
:. 67920594 is not divisible by 4.
The number formed by the last 2 digits in 618703572 is 72, which is divisible by 4.
:. 618703572 is divisible by 4.

Divisibility by 8 : A number is divisible by 8, if the number formed by the last 3 digits of the given number is divisible by 8.

Ex. Which of the following numbers is divisible by 8 ?
(i) 98016542 (ii) 106598304
Sol. The number formed by the last 3 digits of 98016542 is 542. Which is not divisible by 8.
:. 98016542 is not divisible by 8.
The number formed by the last 3 digits of the given number 304, which is divisible by 8.
:. 106598304 is divisible by 8.

Divisibility by 11: A number is divisible by 11. If the difference of the sum of its digits at odd places and the sum of digits at even places, is either 0 or a number divisible by 11.

Ex. Show that 4832718 is divisible by 11.
Sol. (Sum of digits at odd places) + (Sum of digits at even places)
[(8 + 7 + 3 + 4) - ( 1 + 2 + 8)] = 11. which is divisible by 11
:. 4832718 is divisible by 11

Co-Prime: Two numbers are said to be co-prime, if their H.C.F is 1.
e.g. (2, 3), (4, 5), (7, 9), (8, 11) are co-primes.
Note: A number is divisible by ab only when that number is divisible by each one of a and b, where a and b are co-primes

Ex. Without actual division show that 52563744 is divisible by 24.
Sol. 24= 3x8, where 3 and 8 are co prime.
The sum of the digits in given number is 36, which is divisible by 3.
So, the number is divisible by 3.
The number formed by the last 3-digits of the given number is 744, which is divisible by 8.
So the given number is divisible by 8.
Thus, the given number is divisible by both 3 and 8, where 3 and 8 are co-prime
So, it is divisible by 3x8, i.e. 24

Coding and Decoding -1

1. 'LOAD' is coded as 'MPBE' and DRIVE as 'ESJWF', how will you code 'LADDER' ?
(a) NCFFGT (b) MBEEFS (c) MDEEFS (d) MBEESP

2. 'START=WALKA and BUDPI=BUDPI=XZFMQ, what would be 'STUPID'= ?
(a) WAZMQF (b) BAZMQF (c) WAZNOF (d) WAZMMF

Note : Here the coding scheme is A=Z, B=Y, C=X and so on answer the following
3. LIMIT
(a) KNRNG (b) JKOKG (c) ORNRG (d) MHLHS

4. SOUR
(a) HLFI (b) IFLT (c) IHIF (d) FLTI

5. POCKET
(a) KLXUPG (b) KLXVPG (c) KLXPUC (d) KLXPVG

6. GROUP
(a) TILEL (b) TILFK (c) TFGFK (d) TILGH

7. ZERO
(a) BUHN (b) AUTL (c) AVIL (d) AYTI

8. SHOOT
(a) TJPPR (b) VKRRW (c) UMSSX (d) VKSSW

9. VWDUW
(a) START (b) STAIN (c) STEPS (d) STAND

10. GRZQ
(a) OWNS (b) DONE (c) SHUT (d) DOWN

11. if 'DBMDVUUB' stands for CALCUTTA, how will you write 'BOMBAY' ?
(a) DPNCBX (b) CPMCBZ (c) CPNCBZ (d) DOODDX

12. In a certain code 'DELHI' is written as 'CDKGH', 'MADRAS' aS 'LZCOZR', how will 'PATNA' be coded ?

13. If A=E, B=F, C=G and H=L, how will you code 'GO AHEAD' ?
(a) HPBIFBE (b) HPBIFDE (c) KSFLIFH (d) KSELIEH

If 'TENDER' is coded as 'SDMCDQ', select the appropriate code for the following words
14. SOUPS
(a) PNTQS (b) RMTOR (c) RNTOR (d) TPUQT

15. LIMITED
(a) DETIMIL (b) KHLHSDC (c) DETIMIL (d) KHLHSDE

16. PEONS
(a) ODNMS (b) ODNMT (c) ODMNR (d) ODNMR

17. If 'FRIIHH' stands for 'COFFEE' how will you write 'NOODLES' ?
(a) QRRGOHV (b) RSSHPIW (c) RSSHPIW (d) SELDOON

ANSWERS

1. b 2. a 3. c 4. a 5.d 6. b 7. c
Note : From 8 to 10 the code used is based on the skipping pattern. each letter is coded with the fourth one in alphabetic order, i.e A=(BC)D, B=(CD)E, C=(DE)F, D=(EF)G AND so on

8. b 9. a 10. d 11.c 12. a 13. d 14. c 15. a 16. d 17. a

Critical Reasoning - 1

Critical Reasoning - 1



Answer the questions on the basis of the following directions
Asha and Dara are the children of Mr Dass. Asha marries Suresh Chopra and Sunil, Sanjay and Sonu are born to them. Sunil is married to the eldest daughter of Mr and Mrs. Roy. Bindu is younger to Rita and older than Sita and all are daughters of Mr and Mrs Roy. Gita is Sunils's daughter.

1. What is Surname of sunjay

1. Das 2. Roy 3. Chopra 4. None of these

2. Who is married to Sunil

1. Bindu 2. Sita 3. Rita 4. None of these

3. How is Dara related to Gita

1. Brother-in-law 2. Uncle 3. Maternal Uncle 4. Brother

4. What is Surname of Gita

1. Chopra 2. Dass 3. Roy 4. Suresh

Direction 5 to 7 : If the first six letters of the word THOUGHT FULESSNESS are reversed, next six letters are written as they are and then the remaining letters are reversed.

5. Which letter will be exactly in the middle ?

1. F 2. U 3. L 4. T 5. None

6. Which two letters will be sandwiched between double T and double L ?

1. NS 2. FE 3. FU 4. HT 5. None

7. If all vowels are removed which letter will be exactly in the middle?

1. T 2. L 3. F 4. H 5. None

Directions 8 to 12 : if the word "DISINTERESTEDNESS" is rewritten by reversing the order of first seven and last six letters, then
8. If the vowels are removed, which letter will have one preceding and one following letter in the same order as in the english alphabet?
1. T 2. D 3. N 4. R 5. S
9. Which letter will be the tenth letter towards right ?
1. R 2. E 3. T 4. N 5. R
10. Which will be the sixth letter from and towards left ?
1. R 2. E 3. S 4. N 5. T
11. Which consonant will be exactly in the middle ?
1. T 2. E 3. S 4. R 5. None
12. How many vowels are there to the left of the letter exactly in the middle ?
1. 1 2. 2 3. 3 4. 4 5. None

Directions 13 to 16 :
(a) A and B Play Football and Hokey
(b) C and D play Badminton and Cricket
(c) B and C play Crocket and Football
(d) A and D play Hockey and Badminton
13. One who plays Badminton, Football and Hockey
1. A 2. B 3. C 4. D 5. None
14. One who plays Badminton, Football and Cricket
1. A 2. B 3. C 4. D 5. None
15. One who plays Cricket, Football and Hockey
1. A 2. B 3. C 4. D 5. None
16. One who does not play cricket ?
1. A 2. B 3. C 4. D 5. None

Directions 17 to 22: Some friends are sitting on a bench; Sunil is sitting next to Sunita and Sanjay is next to Bindu. Bindu is not sitting with Sumit. Sumit is on the left end of the bench and Sanjay is on second position from right handside. Sunil is on the right side of Sunita and to the right side of Sumit. Sunil and sanjay are sitting together.
Based on the above seating arrangements, answer the following questions:
17. Sunil is sitting between
1. Sunita and Bindu 2. Sumit and Bindu 3. Sunita and sanjay 4. Sanjay and Sumit
5. Bindu and sanjay
18. Who is sitting in the centre ?
1. Sumit 2. Sunil 3. Bindu 4. Sanjay 5. Sanjay
19. Sanjay is sitting between
1. Bindu & Sunita 2. Sunil & Sumit 3. sunita & Bindu 4. Sumit & Bindu 5. Sunil & Bindu
20. Sumit is sitting on the
1. Secong place from right 2. Secong place from left 3. Extreme left 4. Extreme right
5. in the middle of all
21. Bindu is sitting on the
1.Extreme left side 2. Extreme right side 3. Secong from left side 4. third from left side
5. in the centre
22. Sunita is sitting away from Bindu places
1. 1 2. 2 3. 4 4. 5 5. 3

23. Ankit started walking towards north. after walking 30 metres, he turned left and walked 40 metres. He then turned left and walked 500 metre. He again turned left and walked 50 metres. How far was he from his original position ?
1. 50 metres 2. 40 metres 3. 30 metres 4. 20metres 5. 10 metres

24. A walks 10 metres in front and 10 metres to the right. Then every time turning to his left, he walks 5, 15, and 15 metres respectively. How far is he now from his starting point ?
1. 10 metres 2. 20 metres 3. 5 metres 4. 15 metres 5. 23 metres

25. Dilip walks 20 metres north. Then he turns right and walks 30 metres. Now, he turns right and walks 35 metres. Now, turning left, he walks 15 metres. Again, he turns left and moves 15 metres. In which direction and how far is he from his original position ?
1. 15 metres East 2. 45 metres East 3. 46 metres west 4. 45 metres west 5. None

26. From his house , Lokesh went 15 kms to the North. Then he turned west and covered 10 kms. Then, he turned south and covered 5 kms. Finally, turning to east he covered 10 kms. In which direction is he from his house ?
1. East 2. West 3. North 4. south

27. Six persons A, B, C, D, E and F are standing in a circle B is between F and C; A is between E and D. Who is between A and F ?
1. B 2. C 3. D 4. E

Directions 28 to 30 : Read the following information and answer the questions given below it :
i) Six friend A, B, C, D, E and F are sitting in a closed circle facing the centre.
ii) E is to the left of D
iii) C is between A and B
iv) F is between E and A.
28. Who is to the left of B ?
1. A 2. C 3. D 4. E 5. None
29. Who is to the right of C ?
1. A 2. B 3. D 4. E 5. F
30. Which of the above given statements is superflupus ?
1. I 2. II 3. III 4. IV 5. None

Answers
1. 3 2. 3 3. 3 4. 1 5. 5 6. 3
7. [3] HGHTTFL SSSNS 8. 5 9. 4 10. 3 11. 5 12. 3
Hints for 13 to 16
(i) Football = A, B, C
(ii) Hockey = A, B, D
(iii) Badminton = C, D, A
(iv) Cricket = C, D, B

13. 1 14. 3 15. 2 16. 1

hint: 17 to 22: Make a sketch of the sitting positions based on the description

left_____Sumit______Sunita________Sunil_____Sanjay_____Bindu____Right

17. 3 18. 2 19.5 20. 3 21. 2 22. 2

23. 5 24. 3 25. 2 26. 3 27.3

28. 3 Clearly D is to the left of B

29. 1 Clearly A is to the right of C

30. 5 Since all the statements are necessary to determine the arrangement. Noe of these is superflous

Analytical Reasoning -1

Analytical Reasoning -1
1. A candidate must get 36 percent marks to pass. He gets 200 marks and fails by 16 marks. What is the maximum number of marks?

2. When 50 percent of a number is added to 45 the result is the number itself. Then the number is?

3. Find the third proportion between 12 and 30 ?

4. The ratio of numbers is 3:4 and thier sum is Rs. 420. The greater of the two number is how much ?

5. The ages of Nagesh and Sudhakar are in the ratio 2 : 3. After 12 years, thier ages will be in the ratio 11 : 15. Find the age of sudhakar

6. Venkat and Madan started a business and invested Rs. 10,000 and Rs. 15,000. After 4 months, Madan left and suman joined by investing Rs. 5000. At the end of the year, there was a profit of Rs. 6,600. What is the share of Suman ?

7. What is the single discount equivelent to a series of discounts of 25%, 20% and 5% ?

8. A gas stove dealer marks a gas stove with a price which Rs. 25% more than the cost price and allows discount of 12% on it. Find the gain percent.

9. A person sold two maruti cars for Rs. 75000 each. On one he gains 15% and on the other he loses 15%. How much does he gain or loose in the whole transaction ?

10. What income will be derived by investing Rs. 1800 in "8% stock at 120" ?

11. Find the cost of 55 shares of Rs. 20 each at 2/5 discount brokerage being 1/5 per share ?

12. What is the annual dividend recieved from 250 shares of common stock, if the quaterly divident is Rs. 5 per share ?

13. Raju buys a site and gives for it 40 times the annual rent. find the rate of interest he gets for his money ?

14. What is the differance between S.I and C.I. for 2 years on Rs. 10,000 when the rate of interest Rs. 15% for the first year and 14% for the secong year ?

15. A batsman in his 12th innings makes a score of 90 and thereby increases his average by 5. What is his average after 12th innings. He had never been out

16. The average salary per head of all the workers in a company Rs. 50. The average salary of 10 supervisors Rs 500 and the average salary per head of the rest Rs. 40. find the total no. of workers in the workshop.

17. The average of 6 numbers is 15. If each of the number is multiplied by 6 the average of the new set of numbers is howmuch ?

18. A man and woman working together can do a piece of work in 33 days. thier efficiency of doing the work is 14:11 How many days will the woman take if engaged alone ?

19. Thirty men can finish a piece of work in 30 days. When should 10 men leave the work so that it may be finished in 40 days ?

20. A train passes through a tunnel whose length is 300m in 1 minute moving at a speed of 54 kmph. Find the length of the train ?

21. Telegraph poles are at a distance of 60m apart. A raiway passenger counts the poles on the rail road as he passes them. How many will he have passed by a train in 6 hours if the speed is 35kmph ?

22. A train with stoppages traveled a distance at 50 kmph and without stoppages 75 kmph. How many minutes per hour the train stops ?

23. A sum of Rs 82 was divided among 100 boys and girls. each boy gets 180 paise and a girl 130 paise. find the ratio of no. of boys and girls

24. If the driving wheel of a bicycle makes 630 revolutions in travelling 2.2 km, what is its radius ?

25. Find the area of trapezium whose paralell sides are 10 cm and 20cm and the perpendicular distance between them is 6cm

26. A garden is 20m long and 15m broad. what is the length of the longest pole that can be placed in the park?

27. How many cubicle blocks whose edge measures 6cm can be formed by melting a cube block of metal whose edge is 24cm ?

28. The curved surface of a cylindrical pillar is 792 sq. cms and its volume is 2772 cu. cms. Find the diameter.

29. How many spherical bullets each 5 cms in diameter can be cast from a rectangular blosk of lead 11cm X 10cm X 5cm ?

30. If the side of the equilateral triangle is /3cm. Find its area ?

Answers

1. Let x be the total number of marks 36% of x= 200+ 16 = 216

=> x= 216/36 x100 =600 Total number of marks = 600

2. Let x be the number :. 50%x + 45 =x, 0.5x +45 =x => 45= x- 0.5x=0.5x= 50% x

:. x= (45x100)/50 =90

3. Let the third proportion be 'x' :. 12:30 :: 30:x i.e 12/30 = 30/x => X x 12= 30 x 30

:. x= (30 x 30)/12 = 75

4. Greater number = 420 x [4/(4+3)] = 420 x (4/7) =240

5. Let their ages be 2x and 3x years (2x +12) / (3x+12) = 11/15; 15( 2x+12) = 11( 3x+12)

30x + 180 = 33x + 132 180 - 132= 33x - 30x 48=3x => x= 48/3 = 16

6. Ratio of shares of Venkat, Madan and suman are (10000 x 12) : (15000 x 4) : (5000 x8)

= 12 : 6: 4 = 6 :3 :2 :. Share of suman = Rs. 6600 x { 2/ (6+3+2) } = 6600 x (2/11)

= Rs. 1200

7. (1 - 0.25)( 1-0.20)(1 - 0.05) x 100 =0.75 x 0.80 x 0.95 x 100 = Rs. 57

:. Single discount = (100 -57)% =43%

8. Let C.P = Rs 100 Marked price= Rs.125, discount=12% :. S.P. = 88% of Rs. 125

= (88/100) x 125 = 110 :. Gain= (110 - 100)% = 10%

9. (Hint: Whatever be the value of S.P., there exists a loss always in such type of questions)

:. loss% = (15/10) square = 225/100 = 2.25%

10. Income = (Stock x Rate) /100 = (3600 x 8) /100 = Rs. 288

11. Cost of 1 share = { (20 - 2/5) + 1/5} = Rs. (98/5 + 1/5) = Rs. 99/5

:. Cost of 55 shares = Rs. (99/5) x 55 = Rs. 1089

12. Annual dividend = Rs. 5 x 4 = Rs. 20 per share :. Total annual dividend for 250 shares

= 250 x 20 = Rs. 5000

13. Let the annual rent be Rs.1 and pays Rs. 40 for purchasing land.

:. rate % = (1x100)/(40x1) =25%

14. C.I - S.I. = 5 x R1 x R2/ 100 sq. = (10000 x 15 x 14) / 100 sq. = Rs. 210

15. Average score before 12th innings = 90 -5 x 12 = 30

:. Average score after 12th innings = 30 + 5= 35

16. Let 'x' be the no. of all the workers including supervisors :. 50x = (x-10) x 40 x (10x500)

50x = 40x - 400 + 5000 50x = 40x -400 + 5000 => 10x = 4600 => x= 460

17. Avarage of new numbers = 15 x 6 = 90

18. Since efficiency ratio of man and woman is 14 : 11, this means the woman does in 11/25 of the work in 33 days :. She can do the whole work in 33 x 25/11 days = 75 days

19. 30 men ----- 30 days i.e. 1 man ----- 900 days

Let 10 men leave after x days i.e. accordingly the question 30 men do the work in x days and there after only 20 men could do the remaining work in (40 - x) days.

:. 30x + 10( 40 -x) = 900 30x + 400 - 10x =900 :. x = 500/20 = 25days

20. Length of the train + length of tunnel = distance travelled in 1 min at 50 Kmph

:. Length of train + 300 = 60 x 54 x (5/18) = 900 900 - 300 = 600 m

21. Total distance travelled in 6 hrs at 35 kmph = 6 x 35 x 1000

:. No of poles = (6x35x1000)/60 =3500

22. The time taken in stopping per hour is the same as the time to travel a further distance of (75 - 50)km at the rate of 75 kmph

:. The train stops per hour = 25/75 = 1/3 hr or 20 min

23. Average money received by each = 82/100 = 82 paise

By allegation rule Ratio of boys and girls = 34/16 = 17/8 = 17 : 8

24. Circumference of a circle = 2.2 x 1000 / 630 i.r 2II r = 2200/630

:. r = (2200/630) x (1/2) x (7/22) x 100 cm = 55.55 cm

25. Area of a trapezium = 1/2 x 6 x (10 + 20) = 90 Sq. cm

26. Length of the longest pole is the diagonal = Sq. root of ( 20 sq. + 15sq.) = 25m

27. No. of cubical blocks = Vol of big cube / vol of small cube = (24 x 24 x 24) / (6 x 6 x 6) = 64

28. 2IIrh = 792, II x (rsq.) x h= 2772 :. r/2 = 7/2 => r =7 cm

29. No. of bullets = vol. of rectangular block/ vol. of the spherical bullet = 8400

30. Area of the equilateral triangle is = Root 3/4 (side) = 3 root3/4 cm sq.

Verbal Reasoning Puzzles -1

Verbal Reasoning Puzzles -1
1. Editor : Newspaper
(a) Author : Novel (b) Table : Carpenter (c) Blacksmith : Furnace (d) None

2. Archetect : Building
(a) Engineer : blue print (b) Judge : courtroom (c) Goldsmith : wedding ring (d) Driver : Tool

3. Writer : pen
(a) Pencil : eraser (b) Carpenter : saw (c) Gun : hunter (d) Typewriter : paper

4. Grass cutter : Lawn
(a) Grasshopper : field (b) Gardener : garden (c) Field : treets (d) Screw driver : screw

5. Eraser : Paper
(a) Boil : shell (b) lamp : oil (c) knife : meat (d) Gas : generator

6. Soldier : Regiment
(a) Coil : motor (b) Shaft : bearing (c) Wheels : bearing (d) Book : printer

7. Legume : Beans
(a) Clove : chilli (b) Carrot : snail (c) Fishes : dog fish (d) Shrubs : leaves

8. Doctor : disease
(a) Miser : money (b) Theft : punishment (c) Intern : hospital (d) Sheriff : crime

9. Bride : Bridegroom
(a) Mare : stallion (b) Calf : herd (c) Swan : cygnet (d) Lion : cub

10. Duck : Duckling
(a) Child : man (b) Frog : tadpole (c) Girl : woman (d) Deer : gang

11. Catarpillar : Butterfly
(a) Swan : cygnet (b) Callow : maturity (c) Fish : brace (c) Child : baby

12. Time : clock
(a) Sharp : blunt (b) Date : Calander (c) Nip : crush (d) None

13. Diplomat : Tactless
(a) Starveling : weak (b) Boor : affensive (c) Chronlation : (d) Coward : interpid

14. stars : Rank
(a) red : danger (b) sky : milkway (c) stars : fortune (d) clear : green

15. green : clear
(a) blue : black (b) Redcross : hospital (c) Alter : worship (d) Red : rases

16. Red fort : Delhi
(a) Chicago : USA (b) Albany : newyork (c) Agra : Tajmahal (d) hyderabad : charminar

17. Ink : Paper
(a) pen : pencil (b) chalk : blackboard (c) paint : painting (d) All the above

18. Editor : Magazine
(a) Novel : writer (b) Director : film (c) Poem : poet (d) chair : carpenter

19. Music : Harmanium
(a) Author : book (b) Novel : writer (c) words : word processor (d) water : tank

20. Glove : Hand
(a) Neck : coller (b) Shoe : lace (c) Coat : pocket (d) Socks : feet

21. Overlook : aberration
(a) Condone : offence (b) Conviction : criminal (c) Error : omission (d) Careless : loyalty

22. Peaceful : Resistance
(a) Diligent : reliable (b) Dumb : follow (c) Coherent : inconsistance (d) Rough : forceful

23. Valcono : Lava
(a) Death : sorrow (b) Fault : earthquake (c) Delta : river (d) Rock : sand

24. Pain : Misery
(a) Disease : poverty (b) Ignore : greet (c) Despair : loneliness (d) ignorance : confusion

25. Writer : pen
(a) Needle : tailor (b) Paint : painter (c) Artist : brush (d) Saw : carpenter

Answers
1. a 2. c 3. b 4. d 5. c 6. a 7. c 8. d 9. a 10. b 11. b 12. b 13. d 14. a 15. b
16. b 17. b 18. b 19. c 20. d 21. a 22. c 23. b 24. d 25. c

Odd Man Out and Series -2

Find out the wrong number in each sequence
20. 22, 33, 66, 99, 121, 279, 594
21. 36, 54, 18, 27, 9, 18.5, 4.5
22. 582, 605, 588, 611, 634, 617, 600
23. 46080, 3840, 384, 48, 24, 2, 1
24. 1, 8, 27, 64, 124, 216, 343
25. 5, 16, 6, 16, 7, 16, 9
26. 6, 13, 18, 25, 30, 37, 40
27. 56, 72, 90, 110, 132, 150
28. 8, 13, 21, 32, 47, 63, 83
29. 25, 36, 49, 81, 121, 169, 225
30. 1, 2, 6, 15, 31, 56, 91
31. 52, 51, 48, 43, 34, 27, 16
32. 105, 85, 60, 30, 0, -45, -90
33. 4, 6, 8, 9, 10, 11, 12
34. 125, 127, 130, 135, 142, 153, 165
35. 16, 36, 64, 81, 100, 144, 190
36. 125, 123, 120, 115, 108, 100, 84
37. 3, 10, 21, 36, 55, 70, 105
38. 4, 9, 19, 39, 79, 160, 319
39. 10, 14, 28, 32, 64, 68, 132
40. 8, 27, 125, 343, 1331

Solutions
20. Each Number except 279 is a multiple of 11
21. The terms are alternatively multiplied by 1.5 and devided by 3. However 18.5 18.5 does not satisfy it
22. Alternatively 23 is added and 17 is subtracted from the terms. So, 634 is wrong.
23. The terms are successively divided by 12, 10, 8, 6,....etc. So, 24 is wrong
24. The nubers are cubes of (1,2,3,4 etc)
25. Terms at odd places are 5, 6, 7, 8 etc and each term at even place is 16. so, 9 is wrong
26. The difference between two successive terms from beginning are 7, 5, 7, 5, 5 .So, 40 is wrong
27. The numbers are 7x8, 8x9, 9x10, 10x11, 11x12, 12x13. So, 150 is wrong
28. Go on adding 5, 8, 11, 14, 17, 20. So number 47 is wrong
29. The numbers are square of odd natural numbers starting from 5 upto 15. So, 36 is wrong
30. Add 1square, 2sq, 3sq, 4sq, 5sq, 6sq. So, 91 is wrong
31. Subract 1,3, 5, 7, 9, 11 from successive numbers. so 34 is wrong
32. Subtract 20, 25, 30, 35, 40, 45 from successive numbers. So 0 is wrong
33. Each number is a composite number except 11
34. Prime numbers 2, 3, 5, 7, 11, 13 are added successively. So, 165 is wrong
35. Each number is the square of a composite number except 150
36. Prime numbers 2, 3, 5, 7, 11, 13 have successively been subtracted. So, 100 is wrong (108-11=97)
37. The pattern is 1x3, 2x5, 3x7, 4x9, 5x11, 6x13, 7x15 etc
38. double the number and add 1 to it, to get the next number. So, 160 is wrong
39. Alternatively, we add 4 and doble the next. So, 132 is wrong. It must be (68x2) i.e is 136
40. The numbers are cubes of primes i.e cubes of (2, 3, 5, 7, 11 ). so none is wrong

Odd Man Out and Series

Odd Man Out and Series

I. Turn odd man out: As the phrase peaks itself. In this type of problems a set of numbers is given in such a way that each one, except one satisfies a aprticular definite property. The one which deos not satisfy that characteristic is to be taken out.

Some important properties are given below

(i) Prime Numbers: Acounting number greater than 1, which is divisible by itself and 1 only called a prime number. e.g. 2,3,5,7,11,13,17,19,23,29,31,37,41, 43,47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97 etc.

(ii) Even Numbers: A number divisible by 2, is an even number e.g 2,4,6,8,10 etc.

(iii) Odd Numbers: A number not divisible by 2 is called an odd number

(iv) Perfect square: A counting number whose square root is a counting number, is called a perfect square e.g. 1,4,9,16,25,36,49 etc.

(v) Perfect cube: A counting number whose cube root is a counting number is called a perfect cube, e.g. 1,8,27,64,125 etc..

(vi) Multiples of a number: A number which is divisible by a given number a, is called the multiple of a, e.g. 3,6,9,12 etc are all multiples of 3.

(vii) Numbers in A.p: Some given numbers are said to be in A.P if the difference between two consecutive numbers is same e.g. 13,11,9,7 etc.

(viii) Number in G.p: Some given numbers are in G.P. if the ratio between two consecutive numbers remain the same. e.g 48,12,3 etc

Odd Man series 1

Turn odd man out :

1. 3, 5, 7, 12, 17, 19

2. 10, 14, 16, 18, 21, 24, 26.

3. 3, 5, 9, 11, 14, 17, 21.

4. 1, 4, 9, 16, 23, 25, 36.

5. 6, 9, 15, 21, 24, 28, 30.

6. 41, 43, 47, 53, 61, 71, 73, 81.

7. 16, 25, 36, 72, 144, 196, 225.

8. 10, 25, 45, 54, 60, 75, 80.

9. 1, 4, 9, 16, 20, 36, 49.

10. 8, 27, 64, 100, 125, 216, 343.

11. 1, 5, 14, 30, 50, 55, 91.

12. 385, 462, 572, 396, 427, 671, 264.

13. 835, 734, 642, 751, 853, 981, 532

14. 331, 462, 572, 396, 427, 671, 264.

15. 2, 5, 10, 17, 26, 37, 50, 64.

16. 19, 28, 39, 52, 67, 84, 102.

17. 253, 136, 352, 460, 324, 631, 244.

18. 2, 5, 7, 10, 50, 500, 5000.

19. 4, 5, 7, 10, 1418,25, 32.

solutions
1. Each of the numbers except 12,is a prime number
2. Each of the numbers except 21 is an even number
3. Each of the number except 14 is an odd number
4. Each of the numbers except 23, is a perfect square
5. Each of the numbers except 28, is a multiple of 3.
6. each of the number except 81, is a prime number.
7. Each of the numbers except 72, is a perfect square.
8. Each of the numbers except 54, is a multiple of 5.
9. The pattern is 1 square, 2 sq, 3 sq, 4 sq, 5 sq, 6 sq, 7 sq. But instead of 5 square, it is 20 which is to be turned out.
10. The pattern is 2cube, 3cube, 4cube, 5cube, 6cube, 7cube. But 100 is not a perfect cube.
11. The pattern is (1square), (1sq+2sq), (1sq+2sq+3sq), (1sq+2sq+3sq+4sq), (1sq+2sq+3sq+4sq+5sq), (1sq+2sq+3sq+4sq+5sq+6sq). But 50 is not of this pattern.
12. In each number except 427, the middle digit is sum of the other two.
13. In each except 751, the difference of the third and first digit is the muddle one.
14. In each except 383, the product of first and third and first digit is the middle one.
15. The pattern is Xsquare+1, where X=1, 2, 3, 4, 5, 6, 7, 8 etc. But 64 is out of pattern.
16. The pattern is Xsquare+3, where X=4, 5, 6, 7, 8, 9 etc. But 102 is out of pettern.
17. Sum of the digits in each number, except 324 is 10.
18. Pattern is 1stX2nd=3rd, 2ndX3rd=4th, 3rdX4th=5th.
But 4thX5th= 50x500=25000 =/5000 =6th
19. 2nd= (1st+1), 3rd=(2nd+2), 4th=(3rd+3), 5th=(4th+4). But, 18=6th =/ 5th+5= 14+5=19

Puzzles on Calendar-1

In Calendar Puzzles we mainly deal with finding the day of the week on a particular given date. The process of finding it lies on obtaining the number of odd days.
1.Odd Days: Number of days more than the complete number of weeks in a given perios is the number of odd days during that period.

2. Leap Year: Every year which is divisible by 4 is called a leap year. Thus, each one of the years 1992, 96, 2004, 2008 etc is a leap year.

Every 4th century is a leap year but no other century is a leap year. Thus each one 400, 800, 1200, 2000 etc are is a leap year. None of 1900, 2010, 2020, 2100 etcis a leap year.

An year which is not a leap year is called an ordinery year.

3. (i) An ordinary year has 365 days

(ii) A leap year has 366 days

4. Counting of Odd days

(i) 1 ordinary year = 365 days= (52weeks + 1day)

An ordinary year has 1 odd day

(ii) 1 Leap year =366 days= (52weeks + 2days)

A leap year has 2 odd days

(iii) 100 years= 76 ordinary years + 24 leap years

= [(76x52)weeks + 76days] + [(24x52)weeks + 48 days)

=5200weeks + 124days

=(5217weeks + 5days)

Therefore 100 years contain 5 odd days

200 years contain 10 and therefore 3 odd days

300 years contain 15 and therefore 1 odd day

400 years contain (20+1) and therefore 0 odd days

Similarly, each one of 800, 1200, 1600, 2000 etc contain 0 odd days

Remark: (7n+m) odd days, where m<7 days=" 1">

5.Counting Days:

We have : Sunday for 0 odd days; Monday for 1 odd day; Tuesday of 2 odd days and so on

Ex.1 Find the day of the week on 16th July, 1776

Sol. (i) 16th july, 1776 means = (1775 years + period from 1st January to 16th July)

Now 1600 years have 0 odd days

100 years have 5 odd days

75 years = (18 leap years + 57 ordinary years)

=(36+57) odd days = 93 odd days

=(13 weeks + 2days) of odd days

= 2 odd days

1775 years have (0+5+2) odd days i.e. 0 odd days

now days from 1st jan, 16th july 1776

Jan Feb March April May June July

31 + 29 + 31 + 30 + 31 + 30 + 16 = 198 days

==(28 weeks + 2 days) = 2 odd days

Number of odd days = (0+2) =2

The days of the week was 'Tuesday'

ex2. what was the day of the week on 12th January, 1979?

Sol. Number of odd days in (1600 + 300) years = 0+1 =1

78 years = (19 leap years + 59 ordinary years)

=(38 + 59) odd days = 97 odd days = 6 odd days

12 days of january have 5 odd days

. . Total number of odd days = (1 + 6 + 5) = 6 odd days

. . The desired day was 'Friday'

Ex.3 Find the day of the week on 25th December, 1995

Sol. 1600 years have 0 odd days

300 years have 1 odd days

94 years = (23 leap years + 71 ordinary years)

=(46 + 71) odd days = 117 odd days = 5 odd days

Number of days from 1st Jan 1995 to 25th Dec 1995 +359 days

= (51 weeks + 2 days) = 2 odd days

. . Total number of odd days = (0 + 1 + 5 + 2) odd days = 1 odd days

Required day is 'Monday'

Ex.4 On what dates of October, 1994 did Monday fall ?

Sol. Find the day on 1st October, 1994

1600 years contain 0 odd day

300 years contain 1 odd day

93 years = (23 leap years + 70 ordinary years)

=(46 + 70) odd days =116 odd days = 4 odd days

Days from 1st Jan, 1994 to 1st Oct 1994

Jan(31) + Feb(28) + March(31) + April(30) + May(31) + June(30) + july(31) + Aug(31) + Sept(30) +Oct(1) = 274 days = 39 weeks + 1 day = 1 odd day

Total Number of odd days = (0+1+4+1) =6

1st Oct, 1994 was 'Saturday'

Monday fell on 3rd October 1994

During October 1994, Monday fell on 3rd, 10th, 17th and 24th

Ex.5. Prove that the calender for 1995 will serve for 2006

Sol. In order that the calender for 1995 and 2006 be the same, 1st january of both the years must be on the same day of the week. For this, the total number of odd days between 31st Dec. 1994 and 31st Dec 3005 must be zero.

We Know that an ordinary year has 1 odd day and a leap year has 2 odd days. During this period there are 3 leap years, namely 1996, 2000 and 2004 and 8 ordinary years.

. . Total number of odd days during this period (6+8)+14=0 i.e. 0 odd day

Hence, the calender for 1995 will serve for 2006

Ex6. Prove that any date any date in march is the same day of the week as the corresponding date in November of the year

Sol. In order to prove the required result, we have to show that the number of odd days between last day of Febraury and last day of October is zero.

Number of days between these dates are:

March(31) + April(30) + May(31) + June(30) + July(31) + Aug(31) + Sep(30) + Oct(31)

=241 days = 35 weeks

Number of odd days during this period = 0

Hence the result follows.

Ex. Prove that the last day of a century cannot be any of Tuesday, Thursday or saturday

Sol. 100 years contain 5 odd days

Last day of 1st century is 'Friday'

200 years contain (5x2)=10 odd days= 3 odd days

Last day of 2nd century is 'Wednesday'

300 years contain (5x3)= 15 odd days = 1 odd day

Last day of 3rd century is 'Monday'

400 years contain 0 odd day

Last day of 4th century is 'Sunday'

Since the order is continually kept in successive cycles. we see that the last day of a century can not be tuesday, Thursday or Saturday

Puzzle Bank-3

1. Can you find a word of nine letters from which you can delete one letter at a time and yet always give another valid world, until you get down to a single-letter word? There's no need to rearrange the letters at each stage eigther.

2. A woman gave birth to two boys on the same date, within about twenty minutes of each other, and yet both are not twins. How could this be?

3. A rope ladder hangs down the side of the ship. The rungs on the ladder are one foot apart. At low tide the water just covers the bottom rung of the ladder. At high tide, the water level has risen by three feet. How many rungs will be covered by then?

4. Two Indians are walking through the forest. One Indian is the son of the other , but the other is not his father. How?

5. A tramp can make one cigarette from three cigarette butt that he has. One day, when he completely without any smokes at all, he finds a packet of ten cigarettes.
How many full cigarettes can he smoke from these?

6. How far can a rabbit run into a wood?

7. A farmer dies and leaves his saventeen cows to his three sons with the following provision:
The eldest son is to recieve 1/2
The second son is to recieve 1/3
The youngest son is to recieve 1/9
How is the will settlled?

8. A man leaves his house and walks one mile due north. He then walks one mile due east, followed by one mile due south, when he arrives back at his starting point . How deos is this possible?

9. A friend of mine's grandfather is younger than his father. How is this possible?

10. A certain family ha three children, and half the children are boys. How is this?

Answers
1. STARTLING
STARTING
STARING
STRING
STING
SING
SIN
IN
I
2. She has triplets
3. Still only one rung, since the goes up with the water
4. it was his mother
5. Fifteen. first he smoked the ten, giving him 10 butts. but he made three more from nine of the butts and had a butt leftover. When he would smoked these he still had four butts, which made one more cigarette, and left him with two butts.
Then a friend came along and lent him a butt which he used to make his fifteenth cigarette, and when he'd smoked that he gave his friend his butt back.
6. Half way, after that he's running out again
7. The neighbour brings a cow to make the total 18
He then gives the eldest son one half - i.e 9
cowsHe then gives the second son one-third - i.e 6 cows
He then gives his youngest son one ninth-- 1.e. 2 cows
making a total of 17 cows. So he then takes his own cow home
8. There are infinite places where this could occur. The most obvious of these in the south pole , but he could also be at any place which is 1 mile south of a point where the cross section of earth is a circle of circumference 1 mile
9. The grandfather is his mother's father
10. All the children are boys

Puzzle Bank2

1. If a hen and a half lay an egg and half in a day and half. How long will it take twelve hens to lay twelve eggs?

2. One ninth is two less than a third of one half of X. What is X?

3. Which number, when added to twelve, gives the same result as if it were multiplied by six?

4. Two trians approach each other from opposite directions. One is travelling at 50mph. the other at 70mph. How far apart are they fifteen minutes before they meet?

5. There is a three digit number which:
if you add seven to it it devides exactly by seven
if you add eight to it itdevides exacly by eight
if you add nine to it it devides exactly by nine
What is the number?

6. A man is standing on a railway line and hears a train coming. He runs for safety as quickly as possible. However, he first runs twenty yards along the track towards the incoming trian. Why?

7. A snail climbs up a greasy flagpole twenty feet high. He climbs three feet each day but slips back two feet each night. He starts at day break on 1st febraury. when does he reach the top?

8. The big hand of the Big Ben clock weighs 1200lb. and the hour hand weighs 700lb. What is the total weight of the hands? The answer is not 1900lb.

9. A man drives to work at 30mph. How fast would he has to drive back in order to average 60mph for the two way journey? The answer is not 90mph.

10. A new laid egg drops six feet directly above a concrete floor without breaking. How is this done? (and it's not boiled)

11. if it takes four men eight days to dig four holes , how long does it take one man to dig half a hole?

12. Name two Olympic events in which the winner crosses the finishing line facing backwards.

13. There are two stalls in the market selling Apples. stall A sells them at three for Rs 10. stall B sells them at two for Rs 10. On Monday each sells 300 apples therefore stall A collects Rs 1000 and Stall B collects Rs. 1500. a total 2500.
On Tuesday , each stall has 300 apples. but this time both stall decide to combine and sell at five for Rs20. at the end of the day, all the apples are sold but they find that they only have Rs 2400 to be shared between them. What happened to the extra Rs 100?

14. If you could fold a sheet of rice paper one thousandth of an inch thick exactly fifty times, how thick would the resulting wad be?

15. Which weighs the most, a pound of feathers or a pound of gold? The answer is not that they both weigh the same.

Answers
1. A day and half
2. 12 2/3
3. 2 2/5
4. Since the relative speed of the trains to each other is 50+70=120mph. i.e 2 miles per minute, it follows that 15 minutes before crossing they will be 30 miles apart.
5. 504
6. He was standing 20 yards insidde the tunnel
7. By the end of 17th day and night he would be 3 feet from the top and therefore on the 18th day , i.e. 18th febraury, he would climb 3 feet and reach the top.
8. 7600lb .There are four faces to the clock
9. He would have to drive at infinate speed , therefore the answer is impossible. Suppose the distance is 30miles. Then it would take him one hour to go to work. Since the total journey is 60miles, in order to average 60mph, he would need to return home in no time at all.
10. The floor is six foot one inch below the egg
11. You can't dig half a hole
12 Rowing and backstroke swimming
13 you can't add rates to get to get total rates
14 The rice paper would be 17,769,885 miles thick.
15 The standard answer is that they both weigh the same. But infact feathers are measured on the avoirdupois scale os weights in which there 16 ounces to the pound. where as gold is measured on the troy scale in which there are 12 ounces to the pound. So the feathers weigh the most.

Puzzle Bank 1

1. A two digit number, read from left to right is 4.5 times as large as the same number read from right to left.
what is the number?
2. Only one of these 5 statements is correct--which one is corect?
1.Only one of these statement is correct
2. Only two of these statements are false
3.Three of these satatements are false
4. Four of these statements are false
5. All five of these statements statements are false

3. Which number when added to 5/4 gives the same result as when multiplied by 5/4
4. A Girl has as many sisters as she has brothers.But each brother has twice as many sisters as brothers. How many sisters and Brothers in the family?

5. A train leaves Chennai at 8.00AM and travels to Hyderabad at 60kmph . At 9am Another train leaves Hyderabad and travels towards Chennai at 90kmph. Which train is nearer to Hyderabad when they pass?

6. If the only sister of your mother's only brother has an only child, what would be your relashionship with that child?

7.A man buys a carton of 200 cigarettes, and every day he smokes seven cigarettes less than the day before Evantually the arrives when his quota is down to one cigarette-which happens to be all that there left in the original carton.
How many a day was he smoking when he bought the carton?

8. There are eight oranges in a box. How can you devide them between eight people so that each person gets one orange, and one orange left in the box.
The oranges must not be peeled or cut.

9. Jack's famous Beanstalk doubled its hieght every day. After twenty one days it was as high as the town hall. after how many days was it half the hieght of the town hall?

10. Some ducks are marching across a path. There's a duck in front of two ducks , there is a duck in the middle

answers

1. 81

2. Statement (4), i.s only four of these statements are false

3. X+5/4= X*5/4 i.e 4X+5= 5X...solving u get X=5..Hence the Nuber is 5

4. Three boys and four girls

5. Both are at the same distance away when they pass

6. It would be you

7. He was smoking fifty a day at the outset, but he also had four cigarettes left over from his last packet.

8. Each person gets one orange but one man also gets the box

9.Twenty days

10. Three ducks