Mathmetics
ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams
Q611. | 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.

Q612. | 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.

Q613. | 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.

Q614. | 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.

Q615. | 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.

Q616. | Find the two natural numbers whose sum is 85 and the LCM is 102 |
1) | 1) 30 and 55 | 2) | 2) 17 and 68 |
3) | 3) 35 and 55 | 4) | 4) 51 and 34 |
5) | 5) None of these |
Answer : 4) 51 and 34

Q617. | The H.C.F. of two numbers is 11 and their L.C.M. is 693. If one of the numbers is 77, find the other. |
1) | 1) 909 | 2) | 2) 119 |
3) | 3) 66 | 4) | 4) 99 |
5) | 5) None of these |
Answer : 4) 99

Q618. | A boat running downstream covers a distance of 24 kms in 4hrs while for covering the distance upstream it takes 6 hrs. What is the speed of the boat in still water ? |
1) | 5.5 km/hr | 2) | 6 km/hr |
3) | 3.5 km/hr | 4) | 4.5 km/hr |
5) | None of these |
Answer : None of these
Explanation : Ans. 5 km/hr
Explanation : Ans. 5 km/hr

Q619. | 23 x 15 / 25 + 48.2 = -35 + ? |
1) | 97 | 2) | 98 |
3) | 95 | 4) | 96 |
5) | None of these |
Answer : 97

Q620. | (562 - 754) /6 = ? / (-5) |
1) | -120 | 2) | 120 |
3) | -160 | 4) | 160 |
5) | None of these |
Answer : 160
