MCQ Practice

Mathematics MCQs

In a 100 m race, A beats B by 25 m and B beats C by 4 m. By how much does A beat C?

A. 21 m
B. 26 m
C. 28 m
D. 29 m

Explanation:
Using the proportional speed relation gives 28 m.

In a 100 gm alloy of gold and silver, gold is 80% by weight. How much gold is present?

A. 200 gm
B. 80 gm
C. 50 gm
D. 10 gm

Explanation:
Gold = 80% of 100 = 80 gm.

If y exceeds x by 20%, then x is less than y by ____.

A. 16%
B. 16⅓%
C. 16⅔%
D. 16⅖%

Explanation:
If y = 1.2x, then x = 5/6 y → decrease = 16⅔%.

If x% of 200 equals y% of 250, find the ratio x:y.

A. 5:4
B. 5:2
C. 2:5
D. 4:5

Explanation:
x/100 × 200 = y/100 × 250 ⇒ 2x = 2.5y ⇒ x:y = 4:5.

If X runs 48 m and Y runs 42 m in a race of 1 km, how much does Y beat X by?

A. 140 m
B. 125 m
C. 100 m
D. 110 m

Explanation:
Using the ratio method gives 125 m.

If X and Y complete a work in 10 days and Y and Z in 16 days, and X and Z in 22 days, how long does each take?

A. 120, 40, 60 days
B. 120, 60, 80 days
C. 40, 30, 120 days
D. 30, 40, 60 days

Explanation:
Solving simultaneous equations gives values.

If x% of 80 equals 20% of y, what are x and y?

A. x=20, y=20
B. x=20, y=40
C. x=20, y=80
D. Cannot be determined

Explanation:
Infinite solutions exist without an extra condition.

If two pipes fill a tank in 6 hours, how long does one pipe take if the other fills in 10 hours?

A. 5 hours
B. 10 hours
C. 15 hours
D. 20 hours

Explanation:
Using the rate formula gives 15 houRs.

If two mixers and one TV cost Rs. 7000, while two TVs and one mixer cost Rs. 4200, what is the cost of one TV and one mixer?

A. Rs. 2800
B. Rs. 2100
C. Rs. 4200
D. Rs. 8400

Explanation:
Solving the equations gives a combined value of Rs. 4200.

If two dice are thrown, what is the probability of getting an even number on both?

A. 1/4
B. 1/2
C. 3/4
D. 3/5

Explanation:
Even outcomes = 3 each → (3/6)² = 1/4.

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