Number System Mock Test | Quantitative Aptitude | SSC CGL

Q1. If a and b are positive integers and gcd(a, b) = 1, then what is gcd(a + b, a - b)?

1 2 a+b a-b

Q2. If 3/5 of a number is 24, then the number is:

30 35 40 45

Q3. What is the largest power of 6 that divides 100!?

48 49 50 51

Q4. Which of the following numbers is deficient?

6 12 28 5

Q5. If $(234)_5 \times (12)_5 = (x)_5$, find x.

3304 3314 3324 3334

Q6. What is the next number in the sequence: 10, 20, 30, 40, ?

45 50 55 60

Q7. Which of the following is NOT a valid congruence criterion for triangles?

SSS SAS SSA ASA

Q8. Consider a 6-digit number formed by repeating a 3-digit number twice (e.g., 123123). What is the smallest prime number greater than 100 that will always divide such a number?

101 137 103 107

Q9. If x + 1 is a factor of x³ + ax² + bx + 5 and x - 1 is a factor of x³ + ax² + bx + 5, find the value of a.

0 1 2 3

Q10. How many divisors does $36^3$ have?

25 30 36 40

Q11. What is the sum of the first 15 multiples of 4?

420 480 450 460

Q12. The 10's complement of 0.5 is:

0.5 1.5 0.4 0.6

Q13. What is the largest two-digit number?

The number is odd. The number is divisible by 9. The number is 99. The sum of its digits is 18.

Q14. If we have 4 distinct digits, how many 3-digit numbers can be formed using these digits without repetition?

24 12 36 6

Q15. The polynomial $x^3 + ax^2 + bx + c$ leaves remainders 1, 2, and 3 when divided by $(x-1)$, $(x-2)$, and $(x-3)$ respectively. Find the remainder when divided by $(x-1)(x-2)$.

$x-1$ $x+1$ $2x-1$ $2x+1$

Q16. The sum of two even numbers is always:

Odd Even Prime Composite

Q17. In a class, 30 students passed in Physics, 25 passed in Chemistry, and 20 passed in Biology. 15 passed in Physics and Chemistry, 12 passed in Physics and Biology, and 10 passed in Chemistry and Biology. 5 passed in all three. How many students are there in the class if everyone passed in at least one subject?

50 55 60 65

Q18. A and B can complete a work in 10 and 12 days respectively. A starts the work, and they work on alternate days, with A starting. How many days will it take for them to complete the work?

10 days 11 days 10.91 days 12 days

Q19. A tap can fill a cistern in 6 hours. After 2 hours, another tap is opened, and it fills the cistern in 3 hours. In how much time can the second tap fill the cistern alone?

4 hours 5 hours 6 hours 7 hours

Q20. The sum of the ages of A and B is 50 years. If A is 10 years older than B, what is the age of A?

20 years 25 years 30 years 35 years

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