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
131
Find the two-digit number such that the sum of its digits is 8 and the digits of the number get reversed when 36 is added to it. (a) 71 (b) 35 (c) 62 (d) 26
Answer:
26
**Step 1:** Let the two-digit number be $10x + y$.
132
Find the smallest four-digit number that is divisible by 47. (a) 1200 (b) 1025 (c) 1034 (d) 1360
Answer:
1034
**Step 1:** The smallest four-digit number is 1000.
133
A number when divided by 280 leaves 73 as the remainder. When the same number is divided by 35, the remainder will be: (a) 4 (b) 2 (c) 3 (d) 7
Answer:
3
**Method 1: Direct Method**
134
If the largest 4–digit number is subtracted from the smallest 6-digit number, then the remainder will be: (a) 90000 (b) 99991 (c) 80001 (d) 90001
Answer:
90001
- **Smallest 6-digit number:** 100,000
135
If the 7-digit number $504x5y3$ is divisible by 11, then one of the values of the sum of x and y is: (a) 11 (b) 5 (c) 17 (d) 7
Answer:
17
The divisibility rule for 11 states that the difference between the sum of digits at odd places and the sum of digits at even places must be 0 or a multiple of 11.
136
Which of the following numbers is divisible by 6? (a) 12378 (b) 12363 (c) 12370 (d) 12388
Answer:
12378
For a number to be divisible by 6, it must be divisible by both 2 and 3.
137
Which of the following numbers is divisible completely by both 9 and 11? (a) 277218 (b) 10098 (c) 12345 (d) 181998
Answer:
10098
To be divisible by both 9 and 11, a number must satisfy the divisibility rules for both.
138
What should be added to 135642 to get the largest six digit number? (a) 864350 (b) 863357 (c) 864357 (d) 864347
Answer:
864357
**Step 1:** The largest six-digit number is 999999.
139
How many numbers between 1 and 99 (inclusive) have a non-zero tens digit? (a) 98 (b) 90 (c) 99 (d) 100
Answer:
90
The question is asking for the count of numbers from 1 to 99 that are 10 or greater.
140
The least number that is divisible by all the numbers from 2 to 10 is– (a) 2520 (b) 100 (c) 504 (d) 9
Answer:
2520
The question asks for the Least Common Multiple (LCM) of the numbers 2, 3, 4, 5, 6, 7, 8, 9, and 10.