Math Quiz 01: SSC CHSL Practice Set-

Ques1. If (2a + 3b) (2c - 3d) = (2a - 3b) (2c + 3d), then:

Ques2. If A ∶ B ∶ 3 ∶ 4, B ∶ C ∶ 8 ∶ 10 and C ∶ D ∶ 15 ∶ 17, then find A ∶ B ∶ C ∶ D

Ques3. If the perimeter of a circle is 88 cm, then what is the area of the circle? (Take π = 22/7)

Ques4. What should come in the place of the question mark '?' in the following question?

Ques5. The simple interest on a certain sum of money for 2 years at 12% per annum is ₹60 less than the simple interest on the same sum for 3 years at 10% per annum. The sum (in ₹) is:

Ques6. The smallest six-digit number that is exactly divisible by 53 is:

Ques7. If Δ ABC ∼ Δ QPR, ar(ΔABC)ar(ΔPQR)=49ar(ΔABC)ar(ΔPQR)=49, AC = 12 cm, AB = 18 cm and BC = 10 cm, then PR (in cm) is equal to:

Ques8. A fruit seller sells mangoes at the rate of Rs. 7 per kg and thereby loses 20%. At what price per kg he should have sold them to make a profit of 4%?

Ques9. A batsman in his 13th inning makes a score of 97 runs, thereby increasing his average score by 5. What is his average score after the 13th inning?

Ques10. If 60 is 400% of the average of 10, 12, 15, x and y, then find the average of x and y.

Ques11. Sourav has some spare sheets of paper which he pins together and makes rough notebooks for sale. One sheet can be cut into 8 pages of a rough notebook and one rough notebook can be made with 20 pages. If the number of spare sheets available for making rough notebooks is 7500, then how many such rough notebooks can be made?

Ques12. Two trains start at the same time from A and B towards each other at a speed of 25 m/s and 75 m/s. when they meet each other it was found that one train is travelled 360 km more than another train, find the distance between two stations A and B

Ques13. If x4 + x-4 = 47, x > 0, then the value of (2x - 3)2 is:

Ques14. The area of a square field is 484 m2 and a circular park, whose radius is 14/22th of the side of the square field. What is the area (in m2) of the circular park?

Ques15. The cost price of an article is Rs. 390. If it is to be sold at a profit of 3.12 per cent, how much would be its approximate selling price?

Ques16. The difference between the simple interest on a fixed amount for 7 years and on the same amount for 12 years is Rs. 2,500. If the rate of interest is 10% p.a., then the amount is:

Ques17. A person sells his goods at a profit of 15%. Recently, the cost price of the same is decreased by 30% and the selling price is decreased by 29%. Now his profit percentage is approximately:

Ques18. If cot2 θ + cot4 θ = 2, then the value of 2 sin4 θ + sin2 θ is:

Ques19. If cot2 θ + cot4 θ = 2, then the value of 2 sin4 θ + sin2 θ is:

Ques20. The price of two types of rice is Rs. 15/kg and Rs. 20/kg. If both the types are mixed in the ratio 3 ∶ 2 respectively, then what is the price per kg of the mixed variety of rice?

Ques21. Sindbad rows 24 km against the flow of water and 54 km with the flow of water in 6 hours. He can also row 36 km against the flow and 48 km with the flow in 8 hours. What is his speed in still water?

Ques22. If x = 2 then the value of x3 + 27x2 + 243x + 631 is:

Ques23. One of the angles of a triangle is two-third of the sum of the adjacent angles of a parallelogram. The remaining angles of the triangle are in the ratio of 5 : 7. What is the value of the second largest angle of the triangle?

Ques24. The ratio of efficiency of P is to R is 7 : 4 and the ratio of number of days taken by Q is to R is 2 : 3 while working alone P takes 9 days less than R to complete the work. If Q and R started the work and left after 2 days then find the number of days taken by P to finish the remaining work?

Ques25. Two trains are moving in the opposite direction and their speeds are in the ratio of 2 : 1. If the first train crosses a standing man in 5 sec and another train crosses the same man in 8 sec, then determine the time taken by trains to cross each other.