50 Previous Year Quantitative Aptitude Questions with Solutions#
Presented here are 50 practice-oriented quantitative aptitude questions based on the Haryana CET exam pattern, with fully worked solutions for each. This selection covers core topics: Number System, HCF & LCM, Ratio-Proportion, Percentages, Averages, Profit & Loss, SI & CI, Simplification, Time & Work, Time-Speed-Distance, Fractions, Decimals, and Data Interpretation.123
1. The price of tea increases by 20%. To keep expenses the same, by what percent should a man decrease his consumption?#
Solution: Let initial price = ₹100/kg, initial consumption = 1kg. New price = ₹120/kg. Let new consumption = x kg.
Expense remains: 100×1 = 120×x ⇒ x = 100/120 = 5/6 Required decrease = (1 - 5/6)×100 = 16.67% decrease.
2. The sum of five consecutive odd numbers is 125. What is their average?#
Solution: Average = 125/5 = 25
3. Find the least number which when divided by 6, 9, 15, and 18 leaves a remainder 5 in each case.#
Solution: LCM of 6, 9, 15, 18 = 90 Number = 90k + 5, least number is 95.
4. What is 35% of 700?#
Solution: = (35/100)×700 = 245
5. Aman walks 8km east, then 6km north. How far is he from the start?#
Solution: By Pythagoras: √(8²+6²) = 10km4
6. Find the HCF and LCM of 24 and 36.#
Solution:
- HCF: Factors = 2, 12, 24 for 24; 2, 18, 36 for 36. HCF = 12
- LCM: Multiples = 24, 48, 72… for 24; first common = 72
7. Divide ₹1200 in the ratio 2:3.#
Solution: Total = 5 parts 2/5 × 1200 = ₹480; 3/5 × 1200 = ₹720
8. What is 25% of 200?#
Solution: = (25/100)×200 = 50
9. Find the average of 10, 20, 30, 40, 50.#
Solution: Sum = 150, No. = 5; Average = 150/5 = 30
10. If a shopkeeper sold an article for ₹300 with 20% profit, find the cost price.#
Solution: Let CP = x; SP = x + 20%x = 1.2x = 300 ⇒ x = 250
11. Find SI on ₹1200 at 10% per annum for 2 years.#
Solution: SI = (1200×10×2)/100 = ₹240
12. What is the value of 8 + 4 × 2?#
Solution: 4×2=8, 8+8=16
13. A can complete a work in 12 days, B in 8 days. How many days together?#
Solution: One day work = 1/12+1/8= (2+3)/24=5/24; Days = 24/5 = 4.8 days
14. If a train travels 150km in 2.5 hours, what is its speed?#
Solution: =150/2.5=60km/hr
15. Convert 3/8 to decimal.#
Solution: 3 ÷ 8 = 0.375
16. Rakesh gets 80% in an exam of 500 marks. Find the marks scored.#
Solution: = (80/100)×500 = 400
17. If the cost price is ₹6000, marked price ₹7800, and profit after discount is 4%, find the discount percent.#
Solution: SP=CP+Profit=6000+4% of 6000=6240 Discount=7800-6240=1560 Discount % = (1560/7800)×100 = 20%
18. A sum doubles in 8 years at simple interest. Find the rate.#
Solution: Simple Interest = Principal (for doubling) T=8, SI=P SI= (P×R×8)/100=P ⇒ R=12.5%
19. A sells 3 pencils at the price of 2. Profit %?#
Solution: Assume CP per pencil = ₹1 For 3 pencils, CP=₹3, SP=₹2×3=₹6 Profit%= (3/2-1)×100=50%
20. A person spends 60% of his income and saves ₹400 per month. What is his income?#
Solution: Savings=40%; so, ₹400=40% Income=100/40×400=₹1000
21. LCM of 15, 20, 30?#
Solution: LCM=2×2×3×5=60
22. The average age of 6 persons is 30 years. If one leaves, average becomes 28. What is the age of the person who left?#
Solution: Sum initially: 6×30=180. After leaving: 5×28=140 Age=40
23. The ratio of boys to girls is 7:5. If there are 420 students, how many are girls?#
Solution: Total parts=12; Girls=5/12×420=175
24. If Ram’s salary increases from ₹2000 to ₹2500, find percent increase.#
Solution: Increase=₹500; %increase=500/2000×100=25%
25. Find the compound interest on ₹10,000 at 10% for 2 years.#
Solution: CI=10,000×(1.1²−1)=10,000×0.21=₹2,100
26. A man rows 10km downstream in 2 hours, and upstream in 5 hours. What is speed in still water?#
Solution: Downstream=5km/h, Upstream=2km/h Speed=(5+2)/2=3.5km/h
27. What is 60% of 800?#
Solution: =0.6×800=480
28. If 7/18 of a number is 119, find the number.#
Solution: x×(7/18)=119 ⇒ x=119×18/7=306
29. If 25% of x=75, find x.#
Solution: x=75/0.25=300
30. What is (3/5) ÷ (2/3)?#
Solution: = (3/5) × (3/2) = 9/10=0.9
31. If 2 pens + 3 pencils=Rs34; 12 pens=16 pencils, find cost of 8 pens.#
Solution: Pens/pencils ratio=16/12=4/3 Let pen=4x, pencil=3x 2×4x+3×3x=34⇒8x+9x=34⇒x=2 Pen=8, 8 pens=8×8=₹64
32. Average salary of 8 teachers=₹15,000, add Headmaster and avg increases by ₹1,000. Find Headmaster’s salary.#
Solution: Total=8×15000=₹120,000 New avg=9×16000=₹144,000 Headmaster=144,000-120,000=₹24,000
33. In what time will ₹2,000 yield ₹500 as SI at 5%?#
Solution: SI= (2000×5×T)/100=500 ⇒ T=5 years
34. What is the square root of 2025?#
Solution: √2025 = 45
35. Two trains 120m and 150m long cross each other in 10 sec. Find their combined speed.#
Solution: Total length=270m. Speed=270/10=27m/s=97.2km/hr
36. If a number is divided by 13, leaves remainder 9. What is remainder if divided by 13/2=6.5? (Integer division: remainder same; else specify question.)#
Solution: Remainder for 13:9; For 6, remainder=9 mod 6=3
37. Simplify: 6 ÷ 2 × (1 + 2)#
Solution: =6÷2×3=3×3=9
38. Three numbers are in ratio 1:3:5; sum is 180. Find numbers.#
Solution: Sum of parts=9, One part=180/9=20 Numbers=20, 60, 100
39. If 12 men do a work in 8 days, how many men needed in 4 days?#
Solution: Men×Days=Constant 12×8=96; 4 days: 96/4=24 men
40. Average of 12.5, 12.33, 12.16?#
Solution: (12.5+12.33+12.16)/3=36.99/3=12.33
41. What is (0.6)²?#
Solution: 0.36
42. If cost price is ₹150, selling price is ₹120, find loss %.#
Solution: Loss=30; %Loss=30/150×100=20%
43. HCF of 18 and 24 is?#
Solution: HCF: 6
44. If 200 is divided between A and B in 3:2, what does A get?#
Solution: A=3/5×200=₹120
45. Find the 4th term of an AP: 5, 9, 13…#
Solution: d=4; 4th term=5+3×4=17
46. What is 15% of 220?#
Solution: =33
47. How many even numbers between 1 and 100?#
Solution: Even numbers = 2, 4, …,100 n = (100-2)/2 +1=50
48. If x/4=9, find x.#
Solution: x=36
49. If sum of 3 consecutive numbers is 51, what’s the largest?#
Solution: Let n-1, n, n+1 sum to 3n=51⇒n=17 Largest=18
50. Ratio of Rupees to Paise is 3:2. If total is ₹1.50, find rupees.#
Solution: 3+2=5 parts; 1 part=1.5/5=₹0.30 Rupees=3×0.30=₹0.90
These questions are representative of the Haryana CET quantitative aptitude style. Practicing these, both conceptually and with shortcuts, ensures high exam readiness.123
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