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# Numbers Questions

Home > Quantitative Aptitude > Numbers > General Questions
NA
SHSTTON
377
Solv. Corr.
464
Solv. In. Corr.
841
Attempted
0 M:46 S
Avg. Time

1 / 115

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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

Explanation:

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

Workspace

NA
SHSTTON
133
Solv. Corr.
215
Solv. In. Corr.
348
Attempted
0 M:24 S
Avg. Time

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

A30976

B75625

C28561

D143642

ENone of these

Explanation:

The square of a natural number nerver ends in 2.

Workspace

NA
SHSTTON
152
Solv. Corr.
169
Solv. In. Corr.
321
Attempted
1 M:54 S
Avg. Time

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Choose the correct option.

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

A534

B446

C354

D324

ENone of these

Explanation:

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

Workspace

NA
SHSTTON
114
Solv. Corr.
189
Solv. In. Corr.
303
Attempted
1 M:18 S
Avg. Time

4 / 115

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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

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.

Workspace

NA
SHSTTON
159
Solv. Corr.
140
Solv. In. Corr.
299
Attempted
1 M:5 S
Avg. Time

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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

Explanation:

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

Workspace

NA
SHSTTON
108
Solv. Corr.
165
Solv. In. Corr.
273
Attempted
0 M:59 S
Avg. Time

6 / 115

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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

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

Workspace

NA
SHSTTON
210
Solv. Corr.
53
Solv. In. Corr.
263
Attempted
0 M:14 S
Avg. Time

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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

Explanation:

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

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

Workspace

NA
SHSTTON
35
Solv. Corr.
224
Solv. In. Corr.
259
Attempted
1 M:32 S
Avg. Time

8 / 115

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

A5050

B903

C901

D900

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

Workspace

NA
SHSTTON
82
Solv. Corr.
128
Solv. In. Corr.
210
Attempted
2 M:11 S
Avg. Time

9 / 115

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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

Explanation:

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

Workspace

NA
SHSTTON
133
Solv. Corr.
232
Solv. In. Corr.
365
Attempted
0 M:42 S
Avg. Time

10 / 115

Choose the correct option.

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

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.

Workspace

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