Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
161
In between 250–1000, how many numbers are completely divisible by 5, 6 & 7? (a) 5 (b) 7 (c) 6 (d) 3
Answer:
3
**Step 1:** A number that is divisible by 5, 6, and 7 must be divisible by their Least Common Multiple (LCM).
162
What is the range of possible values for a certain quantity?
Answer:
Between 3 and 60
The correct answer is D, as the question states the range is between 3 and 60, making option D the only choice that matches this range.
163
The largest four-digit number that is exactly divisible by 83 is: (a) 9936 (b) 9954 (c) 9960 (d) 9966
Answer:
9960
**Step 1:** The largest four-digit number is 9999.
164
If $111 ..... 1$ (n digits) is divisible by 9, then the least value of n is: (a) 18 (b) 12 (c) 3 (d) 9
Answer:
9
For a number to be divisible by 9, the sum of its digits must be divisible by 9.
165
Which of the following numbers is not divisible by 8? (a) 12676 (b) 11504 (c) 12832 (d) 12360
Answer:
12676
The divisibility rule for 8 is that the number formed by the last three digits must be divisible by 8.
166
Find the greatest number of five digits, which is exactly divisible by 468. (a) 99684 (b) 99486 (c) 99864 (d) 99468
Answer:
99684
**Step 1:** The greatest five-digit number is 99999.
167
Find the remainder, when $171 \times 172 \times 173$ is divided by 17. (a) 9 (b) 8 (c) 6 (d) 7
Answer:
6
We can find the remainder of each term when divided by 17 and then multiply the remainders.
168
If the 15-digit number $4a5124356789734$ is divisible by 9, then the value of "a" is ............ (a) 1 (b) 4 (c) 5 (d) 3
Answer:
4
The divisibility rule for 9 states that the sum of the digits of a number must be divisible by 9.
169
If the number $2893\#\$$ is divisible by 8 and 5, then one possible choice of the digits that come in the place of # and \$ can be: (a) 0, 2 (b) 2, 2 (c) 0, 0 (d) 2, 0
Answer:
2, 0
**Step 1: Divisibility by 5.** For a number to be divisible by 5, its last digit (\$) must be either 0 or 5.
170
By dividing 14528 by a certain number, Suresh gets 83 as quotient and 3 as remainder. What is the divisor? (a) 165 (b) 185 (c) 195 (d) 175
Answer:
175
We use the division algorithm formula: