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CDS || Number System || Mini Mock

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Question 1

Which one of the following is correct regarding the number 666666.

Question 2

How many pairs of M and N are possible in the number 763M4N2, If the number is divisible by 9 ?

Question 3

What is the value of N so that 7 digit number 91876N2 is divisible by 72.

Question 4

If the nine-digit number 708P6Q8R9 is divisible by 99, then what is the value of P+Q+R ?

Question 5

The HCF and LCM of two numbers are 73 and 803 respectively. When the first number is divided by 3, the quotient is 24. The other number is?

Question 6

A number divides 285, 782, and 924 so as to leave the same remainder in each case. What is that number?

Question 7

If the sum of m terms of the series is given by  find 15th term of the series.

Question 8

Let  =  +  +  + . If 100×= n, then n is equal to?

Question 9

Find the least number which when divided by 35, 56 and 91 leaves the same remainder 7 in each case.

Question 10

The simplest form of  is ?

Question 11

The product of two numbers is 1600 and their HCF is 5. The LCM of the numbers is?

Question 12

 = 16 then  is

Question 13

If the sum of two natural numbers is 27 and their product is 182, find the numbers.

Question 14

What is the unit digit of  ?

Question 15

Which of the following is a perfect square?

Question 16

Find the least number which should be added to 3278 so that it is divisible by 8, 6 and 12 without leaving a reminder.

Question 17

HCF of  and  is:

Question 18

Find two natural numbers whose sum is 208 and whose least common multiple is 819

Question 19

How many terms of the G.P.  are needed to give the sum 363?

Question 20

If x,y,z are 3 unequal numbers whose sum is 84 such that x,y,z are in A.P. and y-x, z-y, x are in G.P. then find the largest number.
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Jul 4CDS & Defence