1 . 
35% of a number is 227.50. What is 20% of that number ?


Answer & Explanation
Answer : Option
A


Explanation : 

Let the number be x
35% of x = 227.50
35x = 22750
Therefore, x = 22750/35 = 650
Thherefore, 20% of 650 = 650 x 20/100 = 130






2 . 
What is the average of the following set of scores ?
135, 145, 155, 169, 275, 225


Answer & Explanation
Answer : Option
D


Explanation : 

Av = 135 + 145 + 155 + 169 + 275 + 225/6
= 1104/6 = 184






3 . 
If (83)^{2} is subtracted from the square of a number, the answer so obtained is 8487. What is the number ?


Answer & Explanation
Answer : Option
A


Explanation : 

Let the number be x
Therefore, x^{2}  (83)^{2} = 8487
x^{2} = 8487 + (83)^{2}
x^{2} = 8487 + 6889 = 15376
Therefore, x = 15376 = 124






4 . 
In an exam it is required to get 44% of the aggregate marks to pass. A student gets 266 marks and is declared failed by 6% marks. What is the maximum marks ?


Answer & Explanation
Answer : Option
B


Explanation : 

Let the maximum marks be x
Now, according to the question,
44% of x = 266 + 6% of x
44% of x  6% of x = 266
38% of x = 266
or 38x/100 = 266
Therefore, x = 26600/38 = 700






5 . 
A, B and C divide an amount of Rs 7200 amongst themselves in the ratio of 8 :9 : 7 . If an amount of Rs 3 00 is added to each of their shares, what will be the new ratio of their shares of amount ?


Answer & Explanation
Answer : Option
B


Explanation : 

Let the amounts of A,B and C be 8x, 9x and 7x respectively.
Therefore, 8x + 9x + 7x = 7200
or 24x = 7200
Threfore, x = 7200/24 = 300
Threfore, Amount of A = 2400
Amount of B = 2700
Amount of C = 2100
Now, adding 300 to each amount,
New ratio = 2700 : 3000 : 2400 = 9 : 10 : 8






6 . 
Mr Tarun deposits an amount of Rs 23000 to obtain a simple interest at the rate of 13% p.a. What total amount will he get at the end of 9 years ?


Answer & Explanation
Answer : Option
C


Explanation : 

SI obtained by Tarun
= 23000 x 13 x 9/100 = Rs 26910
Therefore, Total amount = 23000 + 26910 = 49910






7 . 
The average of six consecutive even numbers P, Q, R, S, T and U is 63. What will be the product of Q and S ?


Answer & Explanation
Answer : Option
D


Explanation : 

Let the numbers be x, x + 2, x + 4, x + 8 and x + 10
Therefore, x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10/6 = 63
Therefore, 6x + 30 = 63 x 6 = 378
Therefore, x = 37830/6 = 58
Therefore, Q = x + 2 = 60 and S = x + 6 = 64
Therefore, Q x S = 60 x 64 = 3840






8 . 
A man sold a bag at a loss of 8%. Had he been able to sell it at a gain of 7%, it would have fetched Rs 75 more than it did. What is the cost price ?


Answer & Explanation
Answer : Option
D


Explanation : 

107% of cost  92% of cost = 75
or 15% of cost = 75
Threfore, cost = 75 x 100/15 = 500






9 . 
If the average of the 1 st and the 2nd of three numbers isD more than the average of the 2nd and 3rd number, what is the difference between the 1 st and the 3rd number ?


Answer & Explanation
Answer : Option
D


Explanation : 

(1st + 2nd)/2  (2nd + 3rd)/2 = 9
1st + 2nd  2nd  3rd/2 = 9
Tdhrefore, 1st  3rd = 18






10 . 
If the product of the present ages of father and son is 640 and the ratio of their present ages is 5 : 2 , what is the age of the son ?


Answer & Explanation
Answer : Option
B


Explanation : 

Let the age of father be x and that of son be y
Therefore, xy = 640 x/y = 5/2
Therefore, 2x = 5y Therefore, 2xy = 1280
Therefore, y2 = 1280/5 = 256
Therefore, y = 256 = 16






