AFCAT Written test

The remainder when 3¹⁰⁰ is divided by 7 is:

• 4

• 3

• 5

• 6

What is the smallest number that leaves a remainder of 1 when divided by 2, 3, 4, 5, and 6 but is divisible by 7?

• 301

• 411

• 217

• 379

How many 4-digit numbers are there such that the sum of digits is 4?

• 15

• 18

• 20

• 22

Let N be the smallest number such that when divided by 5, 7, and 9 it leaves remainders 1, 2, and 3 respectively. Then N is:

• 156

• 221

• 436

• 371

The difference between the squares of two consecutive odd numbers is always divisible by:

• 3

• 4

• 8

• 9

Find the number of integers between 1 and 10,000 which are divisible by neither 2, 3, nor 5.

• 1345

• 2178

• 2666

• 3765

If a number when divided by 3 leaves remainder 1, by 5 leaves remainder 3, and by 7 leaves remainder 2, then what is the least such number?

• 49

• 58

• 67

• 77

The sum of three numbers in A.P. is 21 and the sum of their cubes is 1701. Find the numbers.

• 3,7,9

• 3,9,11

• 1,5,9

• 3,7,11

The ratio of incomes of A and B is 5:3 and the ratio of their expenditures is 9:5. If both save ₹2000, then A's income is:

• 16000

• 18000

• 20000

• 22000

The ratio of boys to girls in a class is 7:5. If 6 more girls join, the ratio becomes 7:6. What is the number of boys?

• 42

• 44

• 48

• 50