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The sum of squares of the digits constituting a positive two digit number is 13, If we subtract 9 from that number we shall get a number written by the same digits in the reverse order. Find the number? 
A) 65 B) 56
C) 45
D) 32
Correct Answer : 32 Explanation : Let the digit number be x y. And, num(x, y)9= num(y, x) (xy)^2 =x^2+y^22xy x^2+y^2=13 from e2+e1 Therefore the number is, xy = 32 
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If the 8 digit number 5668X25Y is divisible by 48. Find the least value of X + Y ? 
A) 10
B) 8
C) 9
D) 7
Correct Answer : 10 Explanation : if 5668X25Y is divisible by 48 then it should be divisible by coprime of 48. Hence the correct number is 56684256,which is divisible by 48. 
A two digit number is such that the product of its digits is 12. When 36 is added to the number, its digits are reversed. Find the number ? 
A) 62
B) 54
C) 45
D) 26
Correct Answer : 26 Explanation : Let the digits of number x and y, with x being the tens digit that means the number would be 10x+y. 
While typing, Vipin is four times as fast as Harish and Harish is thrice as fast as Shailendra. Shailendra takes 156 minutes to type an article. How much time Vipin will take? 
A) 10 minutes
B) 18 minutes
C) 13 minutes
D) 20 minutes
Correct Answer : 13 minutes Explanation : as given, if time taken by Shailendra to do any work is X, then Harish would be do that in X/3 ,and Vipin would be do in X/12 Shailendra takes 156 minutes So X=156 minutes 
If the digits of a two digit number are interchanged the newly formed number is more than the original number by 18 and sum of the digit is 8 then what was the original number? 
A) 53
B) 26
C) 35
D) 42
Correct Answer : 35 Explanation : Let the digits of number x and y, where x is the tens place, y is the ones place that means Number is: 10x + y 
54 is divided into two parts, so that 10 times the first and 22 times the second are together equal to 780. Find the product of the two numbers? 
A) 408
B) 562
C) 860
D) 680
Correct Answer : 680 Explanation : Let 54 is divided into two parts (54  x) and x. 
The sum of one half,one third and one fourth of a number exceeds the number by 12. The number is? 
A) 144
B) 154
C) 90
D) 174
Correct Answer : 144 Explanation : let number is x 

What should come in place of the question mark (?) in the following question 
A) 23328
B) 36
C) 216
D) 46656
Correct Answer : 46656 Explanation : ((144)^{2} ÷ 48 × 18 ÷ 36)

Divide 935 into three parts in such a way that half of the first part, 1/3 of the second part and 1/6 of the third part are equal. Then the third part is? 
A) 170
B) 255
C) 510
D) 1510
Correct Answer : 510 Explanation : Let equal part be x and three parts are A ,B and C there 
If (1 + (27/169))^{1/2}=1+(x/13) , then x equal? 
A) 3
B) 1
C) 27
D) 13
Correct Answer : 1 Explanation : (1 + (27/169))^{1/2}=1+(x/13) Hence x=1


If (2x + 3y) : (3x + 5y) = 18 : 29 then x : y is equal to? 
A) 2:3
B) 3:4
C) 3:5
D) 1:5
Correct Answer : 3:4 Explanation : (2x + 3y) : (3x + 5y) = 18 : 29 
If the sum of two numbers is 18 and sum of their square is 164 then the smallest number is? 
A) 8
B) 6
C) 12
D) 10
Correct Answer : 8 Explanation : Let the digits of number x and y, then 
(7 + 7 + 7 / 7) / (5 + 5 + 5 / 5) = ? 
A) 1
B) 1 / 5
C) 15 / 11
D) 3 / 11
Correct Answer : 15 / 11 Explanation : (7 + 7 + 7 / 7) / (5 + 5 + 5 / 5) 
It is required to change a rupee coin into 2 paise and 5 paise coins with the total number of coins equal to 26. Find the number of each type of coins? 
A) 10 and 16
B) 12 and 14
C) 10 and 20
D) 14 and 14
Correct Answer : 10 and 16 Explanation : Let x be the number of 5 paise coins, then (26  x) will be the number of 2 paise coins. 
Let A = (x + 1)/(x  1) and B = (x  1)/(x + 1). Determine the value of A  B ? 
A) 0
B) x/(x^{2} 1)
C) 4x/(x^{2 } 1)
D) 1
Correct Answer : 4x/(x^{2 } 1) Explanation : A  B = (x + 1)/(x  1)  (x  1)/(x + 1) 
A factory has a woman worker on every 9 workers . The number of women workers is 125, then the total number of workers are? 
A) 1250
B) 1125
C) 1025
D) 1000
Correct Answer : 1125 Explanation : total number of workers = 125*9 =1125 
A, B and C earn Rs 150 daily, while A and C earn Rs 94 rupees, B and C earn Rs 76. How much is C earns per day? 
A) 56
B) 20
C) 34
D) 75
Correct Answer : 20 Explanation : As given, 