Quantitative Proficiency
QUANTITATIVE PROFICIENCY EXAM | VERIFIED ANSWERS AND
QUESTIONS - MOST RECENT EDITION 2026/2027
QUANTITATIVE PROFICIENCY
1. A boat goes downstream at 22 km/h and upstream at 14 km/h.
What is the speed of the stream?
A. 4 km/h
B. 5 km/h
C. 8 km/h
D. 6 km/h
A. 4 km/h — Stream speed = (downstream − upstream)/2 = (22 −
14)/2 = 4 km/h.
2. An article bought for $180 is sold for $216. Find the profit
percentage.
A. 20%
B. 15%
C. 25%
D. 16.67%
A. 20% — Profit = 36; (36/180) × 100 = 20%.
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, Quantitative Proficiency
3. Two trains 110 m and 160 m long run in opposite directions at 36
km/h and 72 km/h. In how many seconds will they cross each other?
A. 8 s
B. 9 s
C. 18 s
D. 13 s
B. 9 s — Relative speed = 108 km/h = 30 m/s; time = 270/30 = 9 s.
4. In a group of 180 students, 121 take Maths and 162 take Physics,
and everyone takes at least one. How many take both?
A. 103
B. 18
C. 59
D. 41
A. 103 — Both = 121 + 162 − 180 = 103.
5. Find the compound interest on $4,000 for 2 years at 20% per
annum, compounded annually.
A. $1,600
B. $1,760
C. $5,760
D. $1,720
B. $1,760 — A = 4,000 × (1 + 20/100)² = 5,760; CI = A − P = $1,760.
6. What is 18% of 240?
A. 196.8
B. 61.2
C. 43.2
D. 25.2
C. 43.2 — 18% of 240 = 18/100 × 240 = 43.2.
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, Quantitative Proficiency
7. A car travels from town P to town Q at 10 km/h and returns along
the same route at 30 km/h. What is its average speed for the whole
trip?
A. 15 km/h
B. 17 km/h
C. 20 km/h
D. 12 km/h
A. 15 km/h — Average speed = 2ab/(a + b) = 2 × 10 × 30/40 = 15
km/h.
8. A's salary is 100% more than B's. B's salary is what percentage less
than A's?
A. 70%
B. 50%
C. 55%
D. 100%
B. 50% — If B = 100, A = 200; B is less by 100/200 × 100 = 50%.
9. Find the next term: 16, 25, 36, 49, 64, ?
A. 85
B. 81
C. 82
D. 80
B. 81 — These are consecutive squares; next is 9² = 81.
10. How many 3-digit numbers can be formed from the digits 1 to 7 if
no digit may be repeated?
A. 210
B. 42
C. 35
D. 343
A. 210 — 7 × 6 × 5 = 210.
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, Quantitative Proficiency
11. A machine bought for $26,000 loses 20% of its value each year.
What is its value after 2 years?
A. $20,800
B. $16,640
C. $37,440
D. $17,940
B. $16,640 — Value = 26,000 × (1 − 20/100)² = $16,640.
12. In how many years will $6,500 earn $1,560 simple interest at 8%
per annum?
A. 5 years
B. 6 years
C. 3 years
D. 4 years
C. 3 years — T = SI × 100/(P × R) = 1,560 × 100/(6,500 × 8) = 3
years.
13. Find the compound interest on $10,000 for 2 years at 5% per
annum, compounded annually.
A. $1,525
B. $11,025
C. $1,025
D. $1,015
C. $1,025 — A = 10,000 × (1 + 5/100)² = 11,025; CI = A − P =
$1,025.
14. The average of 8 numbers is 21. When a new number is added, the
average becomes 25. What is the new number?
A. 53
B. 25
C. 78
D. 57
D. 57 — New number = 9 × 25 − 8 × 21 = 57.
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QUANTITATIVE PROFICIENCY EXAM | VERIFIED ANSWERS AND
QUESTIONS - MOST RECENT EDITION 2026/2027
QUANTITATIVE PROFICIENCY
1. A boat goes downstream at 22 km/h and upstream at 14 km/h.
What is the speed of the stream?
A. 4 km/h
B. 5 km/h
C. 8 km/h
D. 6 km/h
A. 4 km/h — Stream speed = (downstream − upstream)/2 = (22 −
14)/2 = 4 km/h.
2. An article bought for $180 is sold for $216. Find the profit
percentage.
A. 20%
B. 15%
C. 25%
D. 16.67%
A. 20% — Profit = 36; (36/180) × 100 = 20%.
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, Quantitative Proficiency
3. Two trains 110 m and 160 m long run in opposite directions at 36
km/h and 72 km/h. In how many seconds will they cross each other?
A. 8 s
B. 9 s
C. 18 s
D. 13 s
B. 9 s — Relative speed = 108 km/h = 30 m/s; time = 270/30 = 9 s.
4. In a group of 180 students, 121 take Maths and 162 take Physics,
and everyone takes at least one. How many take both?
A. 103
B. 18
C. 59
D. 41
A. 103 — Both = 121 + 162 − 180 = 103.
5. Find the compound interest on $4,000 for 2 years at 20% per
annum, compounded annually.
A. $1,600
B. $1,760
C. $5,760
D. $1,720
B. $1,760 — A = 4,000 × (1 + 20/100)² = 5,760; CI = A − P = $1,760.
6. What is 18% of 240?
A. 196.8
B. 61.2
C. 43.2
D. 25.2
C. 43.2 — 18% of 240 = 18/100 × 240 = 43.2.
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, Quantitative Proficiency
7. A car travels from town P to town Q at 10 km/h and returns along
the same route at 30 km/h. What is its average speed for the whole
trip?
A. 15 km/h
B. 17 km/h
C. 20 km/h
D. 12 km/h
A. 15 km/h — Average speed = 2ab/(a + b) = 2 × 10 × 30/40 = 15
km/h.
8. A's salary is 100% more than B's. B's salary is what percentage less
than A's?
A. 70%
B. 50%
C. 55%
D. 100%
B. 50% — If B = 100, A = 200; B is less by 100/200 × 100 = 50%.
9. Find the next term: 16, 25, 36, 49, 64, ?
A. 85
B. 81
C. 82
D. 80
B. 81 — These are consecutive squares; next is 9² = 81.
10. How many 3-digit numbers can be formed from the digits 1 to 7 if
no digit may be repeated?
A. 210
B. 42
C. 35
D. 343
A. 210 — 7 × 6 × 5 = 210.
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, Quantitative Proficiency
11. A machine bought for $26,000 loses 20% of its value each year.
What is its value after 2 years?
A. $20,800
B. $16,640
C. $37,440
D. $17,940
B. $16,640 — Value = 26,000 × (1 − 20/100)² = $16,640.
12. In how many years will $6,500 earn $1,560 simple interest at 8%
per annum?
A. 5 years
B. 6 years
C. 3 years
D. 4 years
C. 3 years — T = SI × 100/(P × R) = 1,560 × 100/(6,500 × 8) = 3
years.
13. Find the compound interest on $10,000 for 2 years at 5% per
annum, compounded annually.
A. $1,525
B. $11,025
C. $1,025
D. $1,015
C. $1,025 — A = 10,000 × (1 + 5/100)² = 11,025; CI = A − P =
$1,025.
14. The average of 8 numbers is 21. When a new number is added, the
average becomes 25. What is the new number?
A. 53
B. 25
C. 78
D. 57
D. 57 — New number = 9 × 25 − 8 × 21 = 57.
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