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
181
The difference between the greatest and the smallest six-digit numbers is: (a) 988888 (b) 999999 (c) 888888 (d) 899999
Answer:
899999
- **Greatest six-digit number:** 999,999
182
How many numbers greater than 2 and less than 30 are divisible by 1 and themselves? (a) 9 (b) 29 (c) 27 (d) 11
Answer:
9
The question is asking for the count of prime numbers between 2 and 30. A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
183
The product of 4 consecutive numbers is always divisible by which of the following numbers? (a) 10 (b) 22 (c) 24 (d) 48
Answer:
24
Let the four consecutive numbers be $n, (n+1), (n+2),$ and $(n+3)$.
184
What is the smallest four-digit number formed by using the digits 3, 5, 0, 6? (a) 3056 (b) 0356 (c) 0536 (d) 3506
Answer:
3056
**Step 1:** To form the smallest number, we should arrange the digits in ascending order: 0, 3, 5, 6.
185
The sum of the digits of a two-digit number is 12. The number obtained by interchanging its digits exceeds the given number by 18. The number is: (a) 76 (b) 67 (c) 27 (d) 57
Answer:
57
**Step 1:** Let the two-digit number be represented as $10x + y$, where x is the tens digit and y is the units digit.
186
What number should be deducted from 1265 to make it divisible by 29 exactly? (a) 15 (b) 16 (c) 18 (d) 17
Answer:
18
The number that should be deducted is simply the remainder when 1265 is divided by 29.
187
How many numbers between 300 and 1000 are divisible by 7? (a) 994 (b) 301 (c) 101 (d) 100
Answer:
100
**Step 1:** Find the number of multiples of 7 from 1 to 1000.
188
Which of the following numbers are odd?
Answer:
5
Odd numbers are those that cannot be divided evenly by 2. Among the given options, 5 is the only number that meets this criterion.
189
If the 11-digit number $88p554085k6$, $k \neq p$, is divisible by 72, then what is the value of $(3k + 2p)$? (a) 12 (b) 7 (c) 13 (d) 23
Answer:
13
A number is divisible by 72 if it is divisible by its co-prime factors, 8 and 9.
190
If each even digit is divided by 2 and 2 is added to each odd digit in the number 4723361, what will be the sum of the largest and the smallest digits thus formed? (a) 12 (b) 10 (c) 11 (d) 9
Answer:
10
**Step 1:** Apply the given rules to each digit of the number 4723361.