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.
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.
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.
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.
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.
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.
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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