(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%
