DELHI POLICE HEAD CONSTABLE AWO/TPO (NUMBER SYSTEM) QUANT QUIZ-7

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Question 1:

How many numbers between 1 and 250 are divisible by 5 but not by 9 ?

Question 2:

The difference of squares of two numbers is 180. The square of the smaller number is 8 times the larger number. Find the two numbers.

Question 3:

Find the largest 4 -digit number which is exactly divisible by $18 ?$

Question 4:

The sum of the squares of two natural consecutive odd numbers is $394 .$ The sum of the numbers is

Question 5:

If the number 9765xy is divisible by both 5 and 8, then the smallest possible value of (x+ y) is:

Question 6:

Find total numbers of numbers divisible by 13 upto 800 .

Question 7:

The sum of all positive integers up to 2000 , which are divisible by 5 and not divisible by 2 .

Question 8:

What is the remainder when the sum $1^{5}+2^{5}+3^{5}+4^{5}+5^{5}$ is divided by $4 ?$

Question 9:

The unit digit in $3 \times 48 \times 59 \times(8)^{3} \div 4+489$

Question 10:

When a number is divided by 4,5 & 3 successively it gives remainder 3, 2 and 0 respectively, find the number.