DELHI POLICE MATHS QUIZ

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Question 1:

The difference between a two-digit number and the number obtained by interchanging the position of its digits is 45 . What is the difference between the two digits of that number ?

Question 2:

Let $x$ be the least number of 4 -digits which when divided by $12,15,20$ and 27 leaves, in each case, a remainder $7 .$ What is the sum of the digits of $x$ ?

Question 3:

Out of two numbers, the first number is three-fourth of the second number. If the average of the reciprocals of both the numbers is $\frac{7}{48}$, then what is the first number?

Question 4:

The sum of two numbers is 14 and the difference between them is 4. What will be the product of those two numbers?

Question 5:

Find the greatest number by which dividing 108, 124 and 156 gives the same remainder.

Question 6:

What is the smallest number by which if 675 is multiplied, the product becomes a perfect cube?

Question 7:

If 21 is added to a number, it becomes 7 less than thrice its number. Accordingly, what is that number?

Question 8:

Which of the following fractions will be the fourth if the fractions $\frac{4}{5}, \frac{6}{7}, \frac{9}{11}$, and $\frac{3}{8}$ are ordered in descending order of their values?

Question 9:

If the average of four consecutive odd whole numbers A, B, C, D is 42, then what is the product of B and D?

Question 10:

If $7A6245B$ is divisible by $88$ , then what is the value of $B^2 -A^2$ ?