Tuesday, September 7, 2010

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.

Thursday, September 2, 2010

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

Wednesday, September 1, 2010

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