Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q31.
Find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number.

1) 3 2) 10
3) 17 4) 20
5)None of these
Answer : 3
Explanation :   Let the number be x.
  Then, x + 17 =  60/x       or   x2 + 17x - 60 = 0
  or  (x + 20) (x - 3) = 0    or    x = 3.
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Q32.
On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?
1) 4 2) 5
3) 6 4) 7
5)None of these
Answer : 5
Explanation : Dividend = ( 56 x  Q ) + 29         (Q = Quotient )
    Dividend = ( 87 x Q ) + (8 x 3) +5
    All Parts are divisible by 8 except 5.
    So,5 should be the reminder.
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Q33.
The difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
1) 240 2) 270
3) 295 4) 360
5)None of these
Answer : 270
Explanation : Let the smaller number be x.
    Then larger number = (x + 1365).
    x + 1365 = 6x + 15
    5x = 1350   or  x = 270
    Thus , Smaller number = 270.
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Q34.
Which one of the following numbers is exactly divisible by 11 ?
1) 235641 2) 245642
3) 315624 4) 415624
5)None of these
Answer : 415624
Explanation :     (4 + 5 + 2) - (1 + 6 + 3) = 1, not divisible by 11.
    (2 + 6 + 4) - (4 + 5 + 2) = 1, not divisible by 11.
    (4 + 6 + 1) - (2 + 5 + 3) = 1, not divisible by 11.
    (4 + 6 + 1) - (2 + 5 + 4) = 0, So, 415624 is divisible by 11.
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Q35.
If the number 517 * 324 is completely divisible by 3, then the smallest whole number in the place of * will be:

1) 0 2) 1
3) 2 4) 3
5)None of these
Answer : 2
Explanation : Explanation:
    Sum of digits = (5 + 1 + 7 + x + 3 + 2 + 4) = (22 + x),   which is not must be divisible by 3.
     So, x = 2.
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Q36.
The sum of two number is 25 and their difference is 13. Find their product.
1) 104 2) 114
3) 315 4) 325
5)None of these
Answer : 114
Explanation : Explanation:

    Let the numbers be x and y.
    Then, x + y = 25 and x - y = 13.
    4xy = (x + y)2 - (x- y)2  = (25)2 - (13)2
     = (625 - 169) = 456
   So,  xy = 114.
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