Quantitative Reasoning

Number System

Medium

How many numbers between -13 and 13 are multiples of 3 or 5?

✅ Correct Option: 2

The numbers are between -13 and 13, excluding -13 and 13 themselves.

Multiples of 3 in this range:

$-12, -9, -6, -3, 0, 3, 6, 9, 12$

Count of multiples of 3 = 9

Multiples of 5 in this range:

$-10, -5, 0, 5, 10$

Count of multiples of 5 = 5

The number 0 appears in both lists as it is divisible by both 3 and 5.

To avoid double-counting:

Total count $= 9 + 5 - 1$

Total count $= 13$

Complete list of numbers that are multiples of 3 or 5:

$-12, -10, -9, -6, -5, -3, 0, 3, 5, 6, 9, 10, 12$

Therefore, there are 13 numbers between -13 and 13 that are multiples of 3 or 5.

2025: 23 May Shift 1

If x and y are negative integers, then which of the following statements is/are always true?

(A) x + y is positive integer.

(B) xy is positive integer.

Choose the correct answer from the options given below:

2026: 20 May Shift 1

Match List-I with List-II

Choose the correct answer from the options given below:

2022: 26 Aug Shift 1

Find the value of $\sqrt[3]{117649}$ =

2026: 19 May Shift 2

Which one of the following statements is/are true?

A. 48713280 is divisible by 11

B. 59761543 is not divisible by 3

C. 342221319 is divisible by 99

D. 10050432 is not divisible by 8

Choose the correct answer from the options given below:

2022: 6 Aug Shift 1

Ratio $5^{8.14} : 5^{5.14}$ is equal to:

2026: 20 May Shift 2

Match the LIST-I with LIST-II

LIST-I (For given Euclidean Algorithm, a = bq + r, Where a & b are real)	LIST-II Values of q and r
A. a = -112, b = -7	I. q = -13, r = 1
B. a = 118, b = -9	II. q = 14, r = 3
C. a = -109, b = 6	III. q = -19, r = 5
D. a = 115, b = 8	IV. q = 16, r = 0

Choose the correct answer from the options given below:

Solution