Mathematics Questions Test – 3

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#1. It is given that ∆ABC ≅ ∆PQR, AB = 5 cm, ∠B = 40°, and ∠A = 80°. Which of the following options is true?

#2. A 480 m long train takes 16 seconds to pass a pole. How long will it take to pass a platform that is 900 m long?

#3. A and B start moving towards each other from places X and Y, respectively, at the same time on the same day. The speed of A is 20% more than that of B. After meeting on the way, A and B take p hours and 72 hours, respectively, to reach Y and X, respectively. What is the value of p?

#4. A sum of money doubles itself in 7 years at simple interest. In how much time will it become 5 times of itself?

#5. If the four-digit number 463y is divisible by 7, then what is the value of y?

#6. What is the ratio of the simple interest earned on a certain amount at the rate of 21% per annum for 8 years to that earned on the same sum at the same rate for 21 years?

#7. Akhil takes 30 minutes extra to cover a distance of 150 km if he drives 10 km/h slower than his usual speed. How much time will he take to drive 90 km if he drives 15 km per hours slower than his usual speed?

#8. The speed of a train is 108 km/h. The distance covered by the train in 11 seconds will be:

#9. if 2x + 3y = 17 and 2x+2 – 3y+1 = 5, then :

#10. At a clearance sale, a shopkeeper gives 45% discount. If a customer paid ₹330 during the sale, then what is the marked price of that shirt?

#11. Rishu saves x% of her income. If her income increases by 26% and the expenditure increases by 20%, then her savings increase by 50%. What is the value of x?

#12. PQRS is a cyclic quadrilateral. If ∠P is three times of ∠R and ∠S is four times of ∠Q, then the sum of ∠S + ∠R will be:

#13. A starts a business with ₹75,000 and B joins the business 5 months later with an investment of ₹80,000. After 1 year, they earn a profit of ₹4,08,800. Find the share of A and B (in ₹).

#14. Rajnish borrowed ₹1,500 from a bank and repaid the entire amount with interest in two equal annual instalments, the first instalment being paid a year after Rajnish borrowed from the bank. If the rate of interest was 40% per annum, compounded annually, then what was the value (in ₹) of each instalment paid by Rajnish?

#15. Which of the following numbers is divisible by 11?

#16. A person has to cover a distance of 160 km in 15 hours. If he covers of the distance in of the time, then what should be his speed (in km/h) to cover the remaining distance in the remaining time?

#17. Find the coordinates of the points where the graph 57x-19y=399 cuts the coordinate axes.

#18. If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A?

#19. Reshma covers 45 km at a speed of 15 km/h by bicycle, 80 km at a speed of 40 km/h by car, and another 6 km at a speed of 2 km/h on foot. Find her average speed for the whole journey (correct to 2 decimal places).

#20. Neena was cycling to the market to buy some grocery items. The market is 4 km away from her home. She travels at a speed of 12 km/h for first 10 minutes. On her way she meets her friend Nikhat and stops to chat with her for 15 minutes. She resumes her journey at a speed of 8 km/h. What is her average speed for the journey ?

#21. A certain number of students from school X appeared in an examination and 30% students failed. 150% more students than those from school X, appeared in the same examination from school Y. If 80% of the total number of students who appeared from X and Y passed, then what is the percentage of students who failed from Y?

#22. (sinθ+cosecθ)2+(cos θ+ sec θ)2=?

#23. If 20% of (A + B) = 30% of (A − B), then what percentage of B is equal to A?

#24. A train moves at a speed of 35 km/h for the first 2 hours and at a speed of 50 km/h for the next 4 hours. Find the average speed of the train during the entire journey.

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

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