1. PRACTICE QUESTIONS in Quantitative Aptitude by : DR. T.K. JAIN AFTERSCHO ☺ OL centre for social entrepreneurship sivakamu veterinary hospital road bikaner 334001 rajasthan, india www.afterschoool.tk mobile : 91+9414430763
2. 1050 are divided among P,Q,R, share of P is 2/5 of the combined share of Q and R, then P gets ??? Let P = 2, Q+R = 5. thus P gets : 2/7 * 1050 =300 ans.
3. A and B mixed in ratio 2:3, in 200 grams, the quantity of A to be added to it to make the ratio 3:2 should be ???? A = 2/5*200 = 80 and B is 120. now new quantity will be 120*5/2 =300 total quantity. Quantity of A will be : 120*3/2 = 180 grams. Thus 100 grams more of A should be added.
4. Sum of 2 numbers is 3 times their difference, the ratio of the numbers is : (A+B) = 3(A-B) A+B = 3A-3B -2A=-4B or A=2B or 2:1 answer
5. Speed of 3 cars are in the ratio 3:4:5, time taken by each of them to travel the same distance is in the ratio :???? 20:15:12 answer.
6. If a:b:c is equal to 2:3:5, then the ratio of (b+c) /a : (c+a)/b : (a+b)/c ? 12:7:3 answer
7. If a/2 = b/3 = c/4, the value of (a+b+c) /c? 9/4 answer
8. If x:y is equal to 3:4, find the ratio of (3Y-X): (2X+Y) 9:10 answer
10. Total earnings of A,B,C are 76000, and they save 30%, 25% and 20% of their income respectively, if their savings are in the ratio 4:5:6, then total earnings of A and B is more than earnings of C by ??
11. solution... Ratio to equalise : 30:24:20 30*(.3*76000x)=24*(.25*76000y)=20*(.2*76000z) 694x=456y=304z 347x=228y=152z x:y:z= (228*152): (347*152): (347*228) solving this the difference is 3780.
12. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km per hour and speed of current is 3 km per hour, distance between A and B? Speeds are 12 and 6, average is : 8 KM per hour. It has travelled 24 km in 3 hours, distance is 12 KM. Ans.
13. In how many years a money @10% simple interest will triple itself? 20 years
14. The volume of a solid right circular cylinder is A, the whole surface are is S, height is H and radius is R, ratio of A(1/H+1/R) :S is ? Pi r^2h (1/H+1/R): 2pi*r(h+r) pi*r(r+h) : 2*pi*r (h+r) 1:2 answer
15. A man marks his goods at a price that would give him 20% profit, he sell 3/5 th of the goods at marked price and remaining at 20% discount, what is the gain in %? Cost = 100, price = 72+ 38.4 =110.4 profit = 10.4% answer
16. A gets 25% more than B, B gets 20% more than C, then the share of C out of sum of 740 is ? Let us assume C = 100, B= 120, A = 150 share of C = 100/370 *740 = 200 answer
17. A+B can do a work in 10 days, A can do it in 15 days. In how many days B alone can do the work? 1/10 – 1/15 = 5/150 =1/30 or 30 days are required by B
18. A and B can do a job in X days. A alone take 8 days more than X and B can take 18 days more than X, what is X? Formula = sqrt (8 *18) = 12 Answer
19. A works twice as fast as B. If B can do it in 12 days, how many days are required by A+B? 1/6 +1/12 = ¼ = 4 days
20. A is thrice as good as B and can do a work in 60 days less than B. In how many days can they do it together? 1/30 + 1/90 = 4/90 = 22.5 days.
21. A can do it in 25 days, B in 20 days. They work together for 5 days. A leaves. How much time more is required? Work done by A = 5/25 = 1/5 B has to do 4/5 , 20*4/5 =16 B has worked for 5 days, so 11 more days are required.
22. A moves @ 90 KM per hour from X to Y. Returns from Y to X @ 60 KM per hour. He agains goes to Y @ 30 KM per hour. What is his average speed? 1/3(1/90+1/60+1/30) =49 or assume distance between X and Y 180, total time = 2+3+6 = 540/11 = 49
23. X travels from A to B and Y start from B to A. X travels at 75 km per hour. They finish the remaining journey after cross over in 2.66 and 3 hours respectively. What is the speed of Y? Ratio of speed = opposite ratio of sq. Root of remaining time 75:X = sqrt(3): Sqrt(2.66) X = (75 * 1.63) / 1.73) = 70 km
24. Theif run 50 km from police. Speed of theif is 60 km, what should be the minimum speed of police to catch them before next 120 KM? =(50)/(X-60)=2 2X-120=50 X=170 or X = 85 Ans.
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