Q1. The perimeter of rectangle is equal to the area of square (numerical magnitude) having side equals to 14 m, If the radius of a circle is 2/7 th of length of rectangle and ratio of length and breadth of rectangle is 4: 3, find area of circle? (Take π=3) (in m²)
(a)768
(b)216
(c)192
(d)234
(e)154
Q2. A boat covers 5 km along the stream in same as it covers 3 km against the stream. If a boat covers a distance of 45 km upstream and 45 km downstream too in 48 hours. Find the speed of the stream? (in kmph)
(a)1.50
(b)0.50
(c)1
(d)0.75
(e)0.25
Q3. A shopkeeper sold an article at 10% profit and another at 20% loss. Find the overall profit or loss percentage if cost price of both the articles is same?
(a)25%
(b)10%
(c)5%
(d)15%
(e)20%
Q4. P, Q and R entered into a partnership by investing Rs.24000, Rs.18000 and Rs.28000 respectively. If at the end of a year profit earned by Q is Rs.2250 then find the difference between the profit earned by P and R? (in Rs.)
(a)200
(b)400
(c)600
(d)300
(e)500
Q5. A, B and C could do a piece of work in 12, 24 and 48 days respectively. Find the number of days taken by A to complete the work if B and C too works on every third day? (in days)
(a)10 ¼
(b)12 ½
(c)8 ¼
(d)9 ¾
(e)11 ¾
Q6. The average monthly income of A and B is Rs.2500 while the average monthly income of B and C is Rs.3200. Find the monthly income of B is the sum of monthly income of A and C is Rs.4000? (in Rs.)
(a)2200
(b)3700
(c)3000
(d)2500
(e)2000
Q7. A man completes a journey of x km in 2 hours, he travels first half of the journey at the speed of 120 kmph and the second half at 80 kmph. Find the value of 5x-40?
(a)1090
(b)860
(c)780
(d)920
(e)1040
Q8. There are two filling pipes X and Y, if X fills the tank in 15 hours and is 300% more efficient than Y, then find the time taken by both pipes to completely fill the tank? (in hours)
(a)20
(b)16
(c)12
(d)8
(e)18
Q9. A car can travel a distance of 300 km in 5 hours whereas bus can travel 350 km in 7 hours, If the speed of bike is 1.5 times of sum of car and bus speed, then find the distance travelled by bike in 10 hours? (in km)
(a)1350
(b)1700
(c)1250
(d)1400
(e)1650
Q10. Train A running at 54 kmph in the same direction as train B having length 1.5 times of train A with speed of 72 kmph, if faster train B crosses train A in 18 seconds, then find the sum of lengths of both trains? (in m)
(a)90
(b)120
(c)72
(d)150
(e)180
Q11. Find the simple interest on Rs. X for 5 years at the rate of 15% p.a. If Rs. X is the compound interest earned on Rs.24000 for 2 years at the rate of 15% p.a.? (in Rs.)
(a)6225
(b)3025
(c)4225
(d)7225
(e)5805
Q12. If a person walks at 15 kmph instead of 12 kmph, he would have covered 21 km more distance in same time. Find the distance to be travelled by him at the speed of 12 kmph in same time?
(a)100 km
(b)72 km
(c)108 km
(d)84 km
(e)96 km
Q13. A, B and C start running around a circular field having radius 14 m at the same time from the same point. Find after how much time they will meet again at the same point for the first time, if speed of A, B and C is 8 m/minute, 11 m/minute and 22 m/minute? (in min)
(a)22
(b)44
(c)88
(d)66
(e)55
Q14. Three persons are to be selected to form a committee so that atleast 1 is woman from a group of 4 man and 3 women. Find the number of ways of doing it?
(a)31
(b)21
(c)37
(d)27
(e)39
Q15. A mixture contains milk and water in the ratio 3:5, If 24 liters of mixture is replaced with 15 liters of milk then ratio of water and milk changes to 2:3, Find the initial quantity of milk in the mixture? (in liters)
(a)6
(b)11
(c)15
(d)19
(e)24
Solutions