Q1. Find the value of √1936 + 9².
Show answer
Answer: C. 125
√1936 = 44; 9² = 81; total = 125.
SSC CGL Quantitative Aptitude Intermediate Practice Set 7
25 intermediate questions. Tap an option to check it, or open “Show answer” for the explanation.
Topics: Simplification, Percentage, Profit and Loss, Discount, Simple Interest, Average, Ratio and Proportion, Time and Work, Speed, Time and Distance, LCM and HCF, Number System, Algebra, Problems on Ages, Mensuration, Geometry, Mixture and Alligation, Partnership
Score: 0 / 0
Q2. The price of an item rises from ₹350 to ₹385. What is the percentage increase?
Show answer
Answer: C. 10%
Increase = 385 − 350 = 35. % increase = 35/350 × 100 = 10%.
Q3. A shopkeeper buys a watch for ₹700 and sells it for ₹875. Find the profit or loss percentage.
Show answer
Answer: B. 25% profit
Profit = |875 − 700| = ₹175. Profit% = 175/700 × 100 = 25%.
Q4. The marked price of a shirt is ₹10000. A discount of 25% is given. What is the selling price (in ₹)?
Show answer
Answer: A. 7500
SP = 10000 × 75/100 = ₹7500.
Q5. A sum of ₹16500 amounts to ₹20625 in 5 years at simple interest. What is the rate of interest per annum?
Show answer
Answer: B. 5%
SI = 20625 − 16500 = ₹4125. R = 4125 × 100 / (16500 × 5) = 5%.
Q6. The average age of 20 students in a class is 46 years. When the teacher's age is included, the average increases by 1 year. What is the teacher's age?
Show answer
Answer: B. 67 years
Teacher's age = (20 + 1) × 47 − 20 × 46 = 987 − 920 = 67 years.
Q7. If A:B = 6:5 and B:C = 6:7, find A:B:C.
Show answer
Answer: B. 36:30:35
Multiply the first ratio by 6 and the second by 5: A:B:C = 36:30:35 = 36:30:35.
Q8. A and B together can finish a job in 10 days. A alone can finish it in 15 days. How many days will B alone take?
Show answer
Answer: B. 30 days
B's work per day = 1/10 − 1/15 = 1/30. So B alone takes 30 days.
Q9. A train 400 m long runs at 90 km/h. How long will it take to cross a platform 150 m long?
Show answer
Answer: A. 22 seconds
Speed = 90 × 5/18 = 25 m/s. Distance = 400 + 150 = 550 m. Time = 550/25 = 22 s.
Q10. What is the least number which, when divided by 25, 6 and 9, leaves a remainder of 2 in each case?
Show answer
Answer: D. 452
LCM(25, 6, 9) = 450. Required number = 450 + 2 = 452.
Q11. What is the unit digit of 7^152?
Show answer
Answer: C. 1
Unit digits of 7^1, ^2, ^3, ^4 are 7, 9, 3, 1. 152 leaves remainder 0 on division by 4, so take the 4th value in the cycle: 1.
Q12. If a + b = 11 and ab = 5, find a² + b².
Show answer
Answer: A. 111
a² + b² = (a + b)² − 2ab = 121 − 10 = 111.
Q13. A father is 3 times as old as his son. If the son is 19 years old, what will the father's age be after 4 years?
Show answer
Answer: A. 61 years
Father's present age = 3 × 19 = 57. After 4 years: 61 years.
Q14. Find the circumference of a circle of radius 14 cm. (Take π = 22/7)
Show answer
Answer: B. 88 cm
C = 2 × 22/7 × 14 = 88 cm.
Q15. What is the measure of each interior angle of a regular polygon with 18 sides?
Show answer
Answer: D. 160°
(18 − 2) × 180/18 = 160°.
Q16. In what ratio must rice at ₹40/kg be mixed with rice at ₹60/kg so that the mixture costs ₹45/kg?
Show answer
Answer: D. 3:1
Ratio = (60 − 45) : (45 − 40) = 15:5 = 3:1.
Q17. A invests ₹20000 for 6 months and B invests ₹60000 for 4 months. Out of a total profit of ₹2943, what is A's share (in ₹)?
Show answer
Answer: B. 981
Ratio = 20000×6 : 60000×4 = 1:2. A's share = 2943 × 1/3 = ₹981.
Q18. The price of an item rises from ₹250 to ₹350. What is the percentage increase?
Show answer
Answer: A. 40%
Increase = 350 − 250 = 100. % increase = 100/250 × 100 = 40%.
Q19. A shopkeeper buys a watch for ₹1000 and sells it for ₹1100. Find the profit or loss percentage.
Show answer
Answer: D. 10% profit
Profit = |1100 − 1000| = ₹100. Profit% = 100/1000 × 100 = 10%.
Q20. The marked price of a shirt is ₹4500. A discount of 30% is given. What is the selling price (in ₹)?
Show answer
Answer: C. 3150
SP = 4500 × 70/100 = ₹3150.
Q21. A sum of ₹11000 amounts to ₹11880 in 2 years at simple interest. What is the rate of interest per annum?
Show answer
Answer: B. 4%
SI = 11880 − 11000 = ₹880. R = 880 × 100 / (11000 × 2) = 4%.
Q22. The average age of 20 students in a class is 30 years. When the teacher's age is included, the average increases by 1 year. What is the teacher's age?
Show answer
Answer: B. 51 years
Teacher's age = (20 + 1) × 31 − 20 × 30 = 651 − 600 = 51 years.
Q23. If A:B = 6:5 and B:C = 4:5, find A:B:C.
Show answer
Answer: C. 24:20:25
Multiply the first ratio by 4 and the second by 5: A:B:C = 24:20:25 = 24:20:25.
Q24. A train 260 m long runs at 108 km/h. How long will it take to cross a platform 250 m long?
Show answer
Answer: D. 17 seconds
Speed = 108 × 5/18 = 30 m/s. Distance = 260 + 250 = 510 m. Time = 510/30 = 17 s.
Q25. What is the least number which, when divided by 16, 6 and 18, leaves a remainder of 1 in each case?
Show answer
Answer: B. 145
LCM(16, 6, 18) = 144. Required number = 144 + 1 = 145.