Welcome to this curated set of 50 Simplification Aptitude Questions and Answers. These solved MCQs cover key topics such as BODMAS, fractions, decimals, percentages, and exponents. Every question includes a step-by-step explanation so you never have to guess why an answer is correct. If you’re gearing up for bank exams, SSC, or any competitive test, this is a great place to start practising.
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50 Simplification Aptitude Questions and Answers (Solved MCQs)
Question 1. Simplify: 48 ÷ 6 × (5 + 3) − 7
a) 49
b) 52
c) 57
d) 64
Answer:
c) 57 — Brackets first: (5+3)=8; then 48/6=8; 8×8=64; 64−7=57.
Question 2. Simplify: (3/4 of 128) + (5/8 of 96)
a) 144
b) 150
c) 156
d) 160
Answer:
c) 156 — (3/4)×128=96 and (5/8)×96=60; total = 156.
Question 3. Simplify: (0.2)⁻² + (0.5)⁻¹
a) 23
b) 25
c) 27
d) 29
Answer:
c) 27 — (0.2)⁻² = (1/5)⁻² = 25; (0.5)⁻¹ = 2; total 27.
Question 4. Simplify: (7/9 + 5/6) × (18/11)
a) 29/22
b) 29/11
c) 11/29
d) 58/11
Answer:
b) 29/11 — (7/9 + 5/6) = 29/18; then (29/18)×(18/11)=29/11.
Question 5. Simplify: 1.25 × 0.8 ÷ 0.5
a) 1
b) 1.5
c) 2
d) 2.5
Answer:
c) 2 — 1.25×0.8 = 1; 1 ÷ 0.5 = 2.
Question 6. Simplify: (15% of 240) + (12% of 150)
a) 48
b) 52
c) 54
d) 60
Answer:
c) 54 — 15% of 240 = 36; 12% of 150 = 18; sum = 54.
Question 7. Simplify: (3⁴ − 2⁵) ÷ (5² − 4²)
a) 49/9
b) 9/49
c) 5
d) 7
Answer:
a) 49/9 — (81−32)=49 and (25−16)=9.
Question 8. Simplify: 5 + {18 ÷ (3 × 2)} × 4
a) 11
b) 13
c) 15
d) 17
Answer:
d) 17 — 3×2=6; 18/6=3; 3×4=12; 5+12=17.
Question 9. Simplify: (2/3) ÷ (5/9) × (3/10)
a) 3/25
b) 6/25
c) 9/25
d) 12/25
Answer:
c) 9/25 — (2/3)×(9/5)×(3/10)=9/25.
Question 10. Simplify: (7.2 ÷ 0.18) + (3.6 ÷ 0.12)
a) 60
b) 70
c) 80
d) 90
Answer:
b) 70 — 7.2/0.18=40 and 3.6/0.12=30; total 70.
Question 11. Simplify: 1/2 + 1/3 + 1/4
a) 11/12
b) 13/12
c) 5/6
d) 7/12
Answer:
b) 13/12 — LCM 12: (6+4+3)/12 = 13/12.
Question 12. Simplify: (2/5) of (3/4 of 500)
a) 120
b) 150
c) 180
d) 200
Answer:
b) 150 — (3/4)×500=375; (2/5)×375=150.
Question 13. Simplify: 0.06 ÷ 0.0003
a) 20
b) 50
c) 100
d) 200
Answer:
d) 200 — 0.0003 × 200 = 0.06.
Question 14. Simplify: (9! ÷ 7!) ÷ (6! ÷ 4!)
a) 12/5
b) 5/12
c) 5/2
d) 2/5
Answer:
a) 12/5 — (9!/7!)=9×8; (6!/4!)=6×5; ratio = 72/30 = 12/5.
Question 15. Simplify: (1 − 1/2) ÷ (1/3) + 1/4
a) 5/4
b) 6/4
c) 7/4
d) 9/4
Answer:
c) 7/4 — (1/2)÷(1/3)=3/2; 3/2+1/4=6/4+1/4=7/4.
Question 16. Simplify: (2.5% of 8000) − (1.25% of 6400)
a) 80
b) 100
c) 120
d) 140
Answer:
c) 120 — 2.5% of 8000=200; 1.25% of 6400=80; difference 120.
Question 17. Simplify: (3/5) of 45
a) 21
b) 24
c) 27
d) 30
Answer:
c) 27 — (3/5)×45 = 27.
Question 1. Simplify: √50 − √8
a) √2
b) 2√2
c) 3√2
d) 4√2
Answer:
c) 3√2 — √50=5√2 and √8=2√2.
Question 2. Simplify: (√27 + √12) ÷ √3
a) 3
b) 4
c) 5
d) 6
Answer:
c) 5 — √27=3√3 and √12=2√3; (5√3)/√3=5.
Question 3. Simplify: (2⁵ × 4³) ÷ 8⁴
a) 1/4
b) 1/2
c) 2
d) 4
Answer:
b) 1/2 — 2⁵×(2²)³=2¹¹; (2³)⁴=2¹²; so 2¹¹/2¹²=1/2.
Question 4. Simplify: 9^(3/2)
a) 9
b) 18
c) 27
d) 81
Answer:
c) 27 — 9^(3/2) = (√9)³ = 3³.
Question 5. Simplify: (√16 + √25)²
a) 49
b) 64
c) 81
d) 100
Answer:
c) 81 — (4+5)² = 81.
Question 6. Simplify: √0.04 ÷ 0.2
a) 0.5
b) 1
c) 2
d) 5
Answer:
b) 1 — √0.04 = 0.2.
Question 7. Simplify: (3⁻² + 3⁻¹) ÷ 3⁻³
a) 6
b) 9
c) 12
d) 15
Answer:
c) 12 — (1/9+1/3)=(4/9); divide by (1/27) gives (4/9)×27=12.
Question 8. Simplify: √5 ÷ √20
a) 1/4
b) 1/2
c) √2
d) 2
Answer:
b) 1/2 — √5/√20 = √(5/20)=√(1/4)=1/2.
Question 9. Simplify: (2√3)(3√12)
a) 18
b) 24
c) 36
d) 72
Answer:
c) 36 — √12=2√3; so 3√12=6√3; product = 2√3×6√3=12×3=36.
Question 10. Simplify: (a³ b⁻²) ÷ (a⁻¹ b⁴)
a) a²/b⁶
b) a⁴/b⁶
c) a⁶/b⁴
d) a⁴/b²
Answer:
b) a⁴/b⁶ — a^(3−(−1))=a⁴ and b^(−2−4)=b⁻⁶.
Question 11. Simplify: √0.0009
a) 0.003
b) 0.03
c) 0.3
d) 3
Answer:
b) 0.03 — 0.03² = 0.0009.
Question 12. Simplify: 1 ÷ (√3 − √2)
a) √3 − √2
b) √3 + √2
c) 1/(√3 + √2)
d) √6
Answer:
b) √3 + √2 — Rationalize: multiply by (√3+√2).
Question 13. Simplify: (5⁰ + 2⁻¹) × 8
a) 8
b) 10
c) 12
d) 14
Answer:
c) 12 — 5⁰=1 and 2⁻¹=1/2; (1.5)×8=12.
Question 14. If x = 2^(1/3), simplify: x⁶ × x⁻²
a) 2
b) 4
c) 2 × 2^(1/3)
d) 4 × 2^(1/3)
Answer:
c) 2 × 2^(1/3) — x⁶×x⁻² = x⁴ = 2^(4/3) = 2×2^(1/3).
Question 15. Simplify: (7² × 7³) ÷ 7⁴
a) 1
b) 7
c) 49
d) 343
Answer:
b) 7 — 7^(2+3−4)=7¹.
Question 16. Simplify: (√48 + √75) ÷ √3
a) 6
b) 7
c) 8
d) 9
Answer:
d) 9 — √48=4√3 and √75=5√3; total 9√3; divide by √3 gives 9.
Question 1. Simplify: 999 × 1001 − 1000²
a) −1
b) 0
c) 1
d) 1000
Answer:
a) −1 — (1000−1)(1000+1)=1000²−1; subtract 1000² gives −1.
Question 2. Simplify: 48.6 ÷ 0.9 × 1.5
a) 72
b) 81
c) 90
d) 96
Answer:
b) 81 — 48.6/0.9=54; 54×1.5=81.
Question 3. Approximate to nearest integer: √51 + √19
a) 11
b) 12
c) 13
d) 14
Answer:
b) 12 — √51≈7.14 and √19≈4.36; sum ≈11.50.
Question 4. Approximate to nearest integer: 19.98 × 5.02
a) 99
b) 100
c) 101
d) 102
Answer:
b) 100 — Close to 20×5 = 100; exact is 100.2996, nearest 100.
Question 5. Simplify: 3/7 + 2/5 − 1/35
a) 3/5
b) 4/5
c) 5/7
d) 6/7
Answer:
b) 4/5 — LCM 35: 15/35 + 14/35 − 1/35 = 28/35 = 4/5.
Question 6. If 35% of x = 280, then x is:
a) 600
b) 700
c) 800
d) 900
Answer:
c) 800 — x = 280 ÷ 0.35.
Question 7. Simplify: 1.2³ ÷ 0.6²
a) 3.2
b) 4.0
c) 4.8
d) 6.0
Answer:
c) 4.8 — 1.2³=1.728 and 0.6²=0.36; 1.728/0.36=4.8.
Question 8. Simplify: (4.99)² − (5.01)²
a) −0.2
b) −0.1
c) 0.1
d) 0.2
Answer:
a) −0.2 — a²−b²=(a−b)(a+b)=(-0.02)(10)=−0.2.
Question 9. Simplify: (1 ÷ 0.125) + (1 ÷ 0.04)
a) 28
b) 30
c) 33
d) 35
Answer:
c) 33 — 1/0.125=8 and 1/0.04=25.
Question 10. Simplify: (2/3 of 450) ÷ (5/6 of 360)
a) 3/2
b) 1
c) 2/3
d) 1/2
Answer:
b) 1 — (2/3)×450=300 and (5/6)×360=300; ratio 1.
Question 11. Find: (7/8)% of 6400
a) 48
b) 56
c) 64
d) 72
Answer:
b) 56 — (7/8)% = 7/800; 6400×7/800=56.
Question 12. Approximate (to 3 decimals): 0.999³
a) 0.996
b) 0.997
c) 0.998
d) 0.999
Answer:
b) 0.997 — (1−0.001)³ ≈ 1−0.003+0.000003 = 0.997003.
Question 13. Simplify: (2¹⁰ − 2⁸) ÷ 2⁷
a) 4
b) 5
c) 6
d) 7
Answer:
c) 6 — (1024−256)/128 = 768/128 = 6.
Question 14. Simplify: 1 ÷ (0.2 × 0.05)
a) 10
b) 50
c) 100
d) 200
Answer:
c) 100 — 0.2×0.05=0.01; 1/0.01=100.
Question 15. Simplify: 75% of 320 + 12.5% of 800
a) 300
b) 320
c) 340
d) 360
Answer:
c) 340 — 75% of 320=240; 12.5% of 800=100.
Question 16. Find the average of: 1/2, 2/3, 3/4
a) 19/36
b) 23/36
c) 25/36
d) 29/36
Answer:
b) 23/36 — Sum = 13/12; average = (13/12)÷3 = 13/36? Actually sum is 1/2+2/3+3/4= (6+8+9)/12=23/12; average = (23/12)/3 = 23/36.
Question 17. Simplify: (5/6)⁻¹ + (3/4)⁻¹
a) 32/15
b) 38/15
c) 40/15
d) 46/15
Answer:
b) 38/15 — (5/6)⁻¹=6/5 and (3/4)⁻¹=4/3; sum = 18/15+20/15.
Question 18. Find the exact value: 98 × 102
a) 9,996
b) 10,000
c) 10,004
d) 10,200
Answer:
a) 9,996 — (100−2)(100+2)=10000−4.
