# Aptitude Questions : Number System Set 8

Hello Aspirants. Welcome to Online Quantitative Aptitude Section with explanation in AffairsCloud.com. Here we are creating question sample in Number System, which is common for all the competitive exams. We have included Some questions that are repeatedly asked in bank exams !!

1. A number is multiplied by 561, and the result obtained is 32,582. But it was found that both 2 in the number are wrong, what should be the correct answer?
A) 33,583
B) 37,587
C) 39,589
D) 36,586
E) None of these
B) 37,587
Explanation:

561 = 3*11*17
So the number must be divided by 3, 11 and 17
Only B option is divided by all.

2. If the number 10*47* is divisible by both 5 and 11, then the missing digits are respectively
A) 1 and 5
B) 6 and 0
C) 5 and 0
D) 2 and 5
E) None of these
A) 1 and 5
Explanation:

Check the options in the number 10x47y
all numbers will be divisible by 5 because in end it is 5 and 0
for number to be divisible by 11, (y+4+0) – (7+x+1) should be divisible by 11
from option A, y = 5, x = 1 gives (y+4+0) – (7+x+1) as 0 which is divisible by 11

3. The sum of digits of a two digit number is 6. The ratio of the original number to the number formed by interchanging its digits is 4 : 7. Find the number.
A) 60
B) 15
C) 42
D) 33
E) 24
E) 24
Explanation:

Let the number is 10x+y
So x+y = 6
And (10x+y)/(10y+x) = 4/7
Solve, 2x = y and from above we have x+y = 6
Solve both equations, x = 2, y = 4

4. When a number is multiplied by 13 and 13 is added to the product, the resultant is divisible by 5. Find the smallest number possible?
A) 85
B) 130
C) 65
D) 90
E) 105
C) 65
Explanation:

13x + 13 which is divisible by 15, or 13(x+1) should be divisible by 5. The smallest value of x = 4 to be put here to make it divisible by 5. So the number is 13(4+1)

5. Find the least number which must be subtracted from 103876 to make the obtained number divisible by 16.
A) 5
B) 4
C) 3
D) 7
E) 9
B) 4
Explanation:

103876/16 gives remainder 4, so 4 should be subtracted

6. The difference between two numbers is 2577. The quotient and remainder are respectively 26 and 2 when the larger number is divided by the smaller one. What is the largest number?
A) 2594
B) 2680
C) 2851
D) 2654
E) 2632
B) 2680
Explanation:

Smaller no = x, then larger = x+2577
Now x+2577 = 26x + 2
Solve, x = 103
So larger no is = 103+2577

7. The difference between the digits of a two digit number is 5. Also the original number is 18 more than two times the number obtained by reversing its digits. Find the original number.
A) 94
B) 61
C) 72
D) 49
E) 27
C) 72
Explanation:

Let number is 10x+y
Then x-y = 5 or y-x = 5
Now given that, 10x+y = 2(10y+x) + 18
Solve, 8x – 19y = 18
Now solve: 8x – 19y = 18 and x-y = 5. In this y = 2, x = 7
And also solve; 8x – 19y = 18 and y-x = 5. In this y come to be negative which is not possible so discard this
So number is 10*7 + 2

8. A number when divided by 462 gives the remainder as 25. When same number is divided by 14, the remainder will be?
A) 9
B) 5
C) 12
D) 11
E) 15
D) 11
Explanation:

Let x be the quotient, then that number becomes 462*x + 25
Which = (22x * 14) + (14*1)+11
Which = 14 (22x + 1) + 11

9. Kavya attends 40 questions and get 96 marks. If 3 marks are given for each correct answer and 1 mark is deducted for each wrong answer, find the number of question she attended correct?
A) 15
B) 34
C) 32
D) 36
E) 33
B) 34
Explanation:

Let she attend x correct answers out of 40, then incorrect = 40-x
So x*3 – (40-x)*1 = 96
Solve, x = 34

10. When 1 is added to the numerator of a fraction it becomes 1/4 and 1 is subtracted from the denominator of that fraction it becomes 1/5. Find the fraction.
A) 4/19
B) 3/16
C) 5/17
D) 2/15
E) None of these
B) 3/16
Explanation:

Let fraction = x/y
Then (x+1)/y = 1/4
And x/(y-1) = 1/5
Solve both equations, x = 3, y = 16

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