Quant Quiz “Number System ” for SSC CGL 2016

Q2. If 43x5y is a odd number divisible by 15. How many combinations of (x, y) are possible:
(a) 3
(b) 4
(c) 2
(d) 5

2. Ans.(a)
Sol.
We know that if number is divisible by
15 then it must be divisible by 3 and 5.
Divisibility of 5 = last digit should
be 5(last digit will not be zero because number is odd)
So Value of y = 5
Divisibility of 3 = sum of digit
divisible by 3
So, 17 + x must be divisible by 3
So value of x = 1, 4, 7

Combination of (x, y) = (1, 5) ,(4, 5),
(7, 5) 

Q3. Find out the number of different factor of 86400?
(a) 96
(b) 128
(c) 72
(d)112

Q5. 4767 exactly divides ***341, The missing digits are
(a) 468
(b) 363
(c) 386
(d) 586

5. Ans.(d)
Sol.
Last digit of dividend = 1
Last digit of divisor = 7
Last digit of quotient should b 3
4767 × 3 = 14301
4767 × 20 = 95340
4767 × 100 = 476700
4767 × (3 + 20 + 100) = 586341

Missing digit are = 586 

Q6. How many number between 100 to 200 are divisible by 2, 3 and 5 together?
(a) 2
(b) 3
(c) 4
(d) 6

6. Ans.(b)
Sol. 
2 × 3 × 5 = 30
Number divisible by 30 is

= 120, 150, 180.

Q7. When number divided by 4 and 5 successively leaves a remainder 3 and 4 respectively. Find the remainder when same number is divided by 10:
(a) 7
(b) 9
(c) 11
(d) 13

Q8. What least number must be subtracted from 7231 so that resulting number is exactly divisible by 5 and 9 together:
(a) 51
(b) 31
(c) 24
(d) 4o

8. Ans .(b)
 Sol.  If a number is divisible by 5 and 9 it must be
divisible by 45.
When we divided 7231 by 45 we get 31
as a remainder.
Remainder = 31

If we subtract 31 from the given
number. Number must be divisible by 5 and 9 divisible together

Q9. The sum of digits of two digit numbers is 6 if the digits are reversed the number is increased by 36. Find the number:
(a) 51
(b) 15
(c) 24
(d) 42

9. Ans.(b)
Sol. 
Let the digit is xy
x + y = 6                     …(i)
10y + x – (10x + y) = 36
–x + y = 4
y = 5
x = 1

Number is 15

Q10. A number when divided by 256 give the remainder 97, when same number is divided by 32 what would be remainder?
(a) 33
(b) 17
(c) 31
(d) 1




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