# Arithmetic Aptitude :: Numbers

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When a number is divided by 13, the remainder is 11. When the same number is divided by 17, then remainder is 9. What is the number ?

A339

B349

C369

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Explanation:

x = 13p + 11 and x = 17q + 9

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Which one of the following can't be the square of natural number ?

A30976

B75625

C28561

D143642

ENone of these

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Explanation:

The square of a natural number nerver ends in 2.

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287 x 287 + 269 x 269 - 2 x 287 x 269 = ?

A534

B446

C354

D324

ENone of these

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Explanation:

Given Exp. = a2 + b2 - 2ab, where a = 287 and b = 269
= (a - b)2 = (287 - 269)2
= (182)
= 324

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The difference between a two-digit number and the number obtained by interchanging the positions of its digits is 36. What is the difference between the two digits of that number?

A4

B3

C6

D9

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Explanation:

Let the ten's digit be x and unit's digit be y.
Then, (10x + y) - (10y + x) = 36
=> 9(x - y) = 36

=> x - y = 4.

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A number when divided successively by 4, 5, and 6, leaves remainders 2, 3 and 4 respectively. The least such number is:

A50

B53

C58

D214

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Explanation:

58 is the answer because 58/4=2, 58/6=4 and 58/5=3.the least number is 58.

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A number, when divided by 296, gives 75 as the remainder. If the same number is divided by 37 then the remainder will be

A1

B2

C19

D31

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Explanation:

If the first divisor is a multiple of second divisor, the remainder obtained by dividing the same number by second divisor = remainder obtained by dividing the first remainder by the second divisor.
Here, 296/37 = 8
So required remainder = Remainder obtained by dividing 75 by 37 = 1

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The sum and product of two numbers are 12 and 35 respectively. The sum of their reciprocals will be

A1/3

B1/5

C12/35

D35/15

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Explanation:

x+y = 12............(1)
xy = 35 ............(2)

so (x+y)/xy = 1/y+1/x = 12/35

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The sum of all the digits of the numbers from 1 to 100 is:

A5050

B903

C901

D900

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Explanation:

Sum of unit digits of numbers from 1 to 99.
= 10 (1 + 2 + 3 + ..... + 9)
= 10*(9*l0/2)=450
= [1+2+3+....+n=n(n+l)/2]

Sum of ten's digits of numbers from 1 to 99
= 10 (1 + 2 + 3 + ..... 9) = 450
Sum of digits of 100 = 1
Required sum = 450 + 450 + 1 = 901

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Two numbers are such that their difference, their sum and their product arc in the ratio of 1:7:24. The product of the numbers is:

A24

B48

C36

D60

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Explanation:

(x-y) : (x+y) : xy= 1:7:24 = 2:14:48
so Number = 8 and 6

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B is taller than j and 3 pillers. P is shorter than B and 2 pillers. is j shorter/taller than P?

AYes

BNo

CEqual

DData Insufficient

| | | Asked In TCS |

Explanation:

Solution: Acc.to the question p and j both are shorter than B.

But who is shorter among themselves can't be determined due to data insufficiency.

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