Mathematics Questions Test – 4

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#1. In trapezium PQRS, PQ || SR and the ratio of PQ to SR is 3:2. If the area of the trapezium is 480 cm2 and the distance between PQ and SR is 12 cm, then the length of SR is

#2. For a sample data, mean = 60 and median = 48. For this distribution, the mode is:

#3. What is the mode of the given data? 5, 7, 9, 7, 3, 7, 5, 7, 8, 6, 7

#4. The number of edges of a polyhedron, which has 7 faces and 10 vertices, is

#5. Mrs. Deepa Devi saves 30% of her salary. If she receives Rs.42,000 per month as her salary, what is her monthly expenditure?

#6. How many kilogram of rice costing Rs.60 per kg must be mixed with 24 kg of rice costing Rs.42 per kg so that there may be a gain of 12% by selling the mixture at Rs.56 per kg?

#7. If a cot θ + b cosec θ= p and b cot θ + a cosec θ = q then p2 -q2 is equal to _____

#8. Two numbers are in the ratio 3:5. If 12 is added to both the numbers, then the ratio becomes 5:7. The sum of the given two numbers is

#9. The ratio of the number of coins of 25 paise, 50 paise, Rs.2 and Rs.5 is 5 ∶ 4 ∶ 3 ∶ 1, respectively. If the total amount of the coins is Rs.285, then the difference between the number of 25 paise and Rs.5 coins is:

#10. The difference between the length of two parallel sides of a trapezium is 12 cm. The perpendicular distance between these two parallel sides is 60 cm. If the area of the trapezium is 1380 cm2, then find the length of each of the parallel sides (in cm).

#11. Successive discounts of 10% and 10% are equivalent to a single discount of:

#12. If the 8-digit number 179x091y is divisible by 88, then what is the value of (x – y) ?

#13. In ∆ABC and ∆DEF, if AB = EF, BC = DE and CA = FD, then

#14. The marked price of an article is` 840. A shopkeeper gives a discount of 15% on the marked price and still makes a profit of 19%. What is the cost price of the article?

#15. For what value of m will the system of equations 18x-72y+13=0 and 7x-my-17=0 have no solution?

#16. The mode of the following data is __________. 13,15,31,12,27,13,27,30,27,28 and16

#17. The number of distinct prime factors of the largest 6-digit number is

#18. The number 1254216 is divisible by which of the following numbers?

#19. Which of the following can be the sides of a right angled triangle?

#20. Find the amount (integral value only) if a sum of ₹6,500 is being borrowed at 10% interest per annum for 2 years if interest is compounded half-yearly.

#21. If 0.139 + 0.75 + 2.105 – (1.001) x 1.1 = 2 – k, then the value of k is

#22. What is the mean of the range, mode and median of the data given below? 5, 10, 3, 6, 4, 8, 9, 3, 15, 2, 9, 4, 19, 11, 4

#23. A goods train 350 m long passes through a tunnel of length 1250 m in 80 seconds. What is the speed of the train?

#24. Working for 10 hours per day, 6 men can build a wall in a certain number of days. By working for how many hours/minutes per day can 12 men build the wall in the same days?

#25. The volume of a cube is 2197 cm3 what is its lateral surface area (in cm2)?

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