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
151
How many numbers between 1 and 700 are completely divisible by 17? (a) 42 (b) 41 (c) 45 (d) 46
Answer:
41
To find how many numbers up to 700 are divisible by 17, we simply divide 700 by 17 and take the integer part of the result.
152
The sum of the greatest and smallest numbers of six digits is: (a) 100000 (b) 199999 (c) 999999 (d) 1099999
Answer:
1099999
- **Greatest six-digit number:** 999,999
153
Which of the following numbers is divisible by 12? (a) 93412 (b) 63412 (c) 73412 (d) 83412
Answer:
83412
For a number to be divisible by 12, it must be divisible by its co-prime factors, 3 and 4.
154
When a number is divided by a divisor, the remainder is 16. When twice the original number is divided by the same divisor, the remainder is 3. Find the value of that divisor. (a) 29 (b) 51 (c) 23 (d) 53
Answer:
29
Let the original number be $N$, the divisor be $d$, and the quotient be $q$.
155
If pq is a two-digit number, then $pq – qp$ will be completely divisible by: (a) 9 (b) 7 (c) 6 (d) 5
Answer:
9
Let the two-digit number 'pq' be represented in terms of its place values. The digit 'p' is in the tens place and 'q' is in the units place.
156
Find the least number to be added to 231228 to make it exactly divisible by 33. (a) 3 (b) 4 (c) 2 (d) 1
Answer:
3
**Step 1:** Divide 231228 by 33 to find the remainder.
157
Find two consecutive numbers where thrice the first number is more than twice the second number by 5. (a) 5 and 6 (b) 6 and 7 (c) 7 and 8 (d) 9 and 10
Answer:
7 and 8
**Step 1:** Let the two consecutive numbers be $x$ and $(x+1)$.
158
The smallest 5 digit number that leaves a remainder of 6 when divided by 7 is: (a) 10009 (b) 10002 (c) 10003 (d) 10007
Answer:
10002
**Step 1:** Identify the smallest 5-digit number, which is 10000.
159
If the number $6484y6$ is divisible by 8, then find the least value of y? (a) 3 (b) 4 (c) 1 (d) 7
Answer:
1
According to the divisibility rule of 8, a number is divisible by 8 if the number formed by its last three digits is divisible by 8.
160
How many times does the digit 5 appear in the counting from 1 to 100? (a) 21 (b) 22 (c) 20 (d) 19
Answer:
20
We count the occurrences of the digit '5' in both the units and tens places.