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

DData inadequate

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Answer: Option B

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

Answer: Option D

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

Answer: Option D

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

Answer: Option A

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

Answer: Option C

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

Answer: Option A

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

Answer: Option C

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

Answer: Option C

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

Answer: Option B

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

Answer: Option D

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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