CAT (MBA) Quantitative Ability Mock Test
8 free timed sets · 318 questions · 0 easy / 317 moderate / 1 hard · solutions for every question
All Quantitative Ability sets
Sample Quantitative Ability questions
1. If x + 1/x = 3, then x^2 + 1/x^2 equals:
- (A) 7
- (B) 9
- (C) 11
- (D) 6
Show answer
(A) 7. Concept: Algebraic identity — squaring x + 1/x produces x² + 1/x² plus a fixed middle term. Formula: (x + 1/x)² = x² + 2 + 1/x², so x² + 1/x² = (x + 1/x)² − 2. Steps: (x + 1/x)² = 3² = 9 x² + 2 + 1/x² = 9 x² + 1/x² = 9 − 2 = 7 Why others are wrong: - B) 9 forgets to subtract the middle term 2. - C) 11 adds 2 instead of subtracting. - D) 6 is 3 × 2, not the square. Remember: Standard set: if x + 1/x = k then x² + 1/x² = k² − 2 and x³ + 1/x³ = k³ − 3k. Here x³ + 1/x³ = 27 − 9 = 18.
2. An object moving along a line has velocity v(t) = t cos(t) - ln (t + 2), where 0 <= t <= 10. How many times does the object reverse direction?
- (A) two
- (B) three
- (C) one
- (D) none
Show answer
(A) two. Correct answer: two.
3. If matrix A has dimensions 2 × 7 and matrix B has dimensions 7 × 5, what are the dimensions of the product matrix AB?
- (A) 2 × 5
- (B) 2 × 2
- (C) 7 × 7
- (D) 5 × 2
Show answer
(A) 2 × 5. Correct answer: 2 × 5.
CAT (MBA) Quantitative Ability — FAQs
Is the CAT (MBA) Quantitative Ability mock test free?
Yes. All 8 Quantitative Ability sets are free, need no signup, and give instant scores with a solution for every question.
How many Quantitative Ability questions are there for CAT (MBA)?
318 questions across 8 sets: 0 easy, 317 moderate and 1 hard.
Will I get the same questions again?
No. Each attempt draws a fresh random subset, shuffles the order and options, and prefers questions you have not seen on this device. The Surprise Set draws from the whole subject pool.
Can I choose difficulty and timer?
Yes — pick Easy, Moderate, Hard or Mixed, and choose no timer, 10 or 20 minutes, or the real exam pace.