Q1. A train travelling at a speed of 30 m/s crosses a 600 m long platform in 30 s. Find the length of the train.
(a) 120 m
(b) 150 m
(c) 200 m
(d) 300 m

Q2. The relative speed of a train in respect of a car is 90 km/h when train and car are moving opposite to each other. Find the actual speed of train, if car is moving with a speed of 15 km/h.
(a) 80 km/h
(b) 105 km/h
(c) 75 km/h
(d) 100 km/h

Q3. A and B invest in the ratio 3 : 5. After 6 months, C joins the business investing an amount equal to B’s. At the end of the year, what will be the ratio of their profits?
(a) 3 : 5 : 2
(b) 3 : 5 : 5
(c) 6 : 10 : 5
(d) 8 : 10 : 5

Q4. A man deposited Rs. 400 for 2 years, Rs. 550 for 4 years and Rs. 1200 for 6 years. He received Rs. 1020 at the
(a) 8%
(b) 10%
(c) 15%
(d) 20%

Q5. A sum of money amounts to Rs. 5200 in 5 years and to Rs. 5680 in 7 years at simple interest. The rate of interest per annum is:
(a) 3%
(b) 4%
(c) 5%
(d) 6%

Q6. Arun lends Rs. 20,000 to two of his friends. He gives Rs. 12,000 to the first at 8% p.a. simple interest. Arun wants to make a profit of 10% on the whole. The simple interest rate at which he should lend the remaining sum of money to the second friend is
(a) 8%
(b) 16%
(c) 12%
(d) 13%

Q7. Simple interest on a certain sum at a certain annual rate of interest is 25/16 of the sum. If the rate percent per annum and time in years be equal, then rate percent per annum is:
(a) 8%
(b) 111/2%
(c) 121/2%
(d) 121/4%

Q8. A certain sum of money becomes three times of itself in 20 years at simple interest. In how many years does it become double of itself at the same rate?
(a) 8 years
(b) 10 years
(c) 12 years
(d) 14 years

Q9. A 130 m long train crosses a bridge in 30 seconds at 45 kmph. The length of the bridge is:
(a) 200 m
(b) 225 m
(c) 245 m
(d) 250 m

Q10. A plane left 30 minutes later than the scheduled time and it order to reach the destination 1500 km away in time, it had to increase the speed by 250 km/hr from the usual speed. Its usual speed is:
(a) 720 km/hr
(b) 730 km/hr
(c) 740 km/hr
(d) 750 km/hr

Q11. What least value must be given to K, so that number 72 K 517 is divisible by 11?
(a) 1
(b) 6
(c) 9
(d) 4

Q13. A number is of two digits. The position of digits is interchanged and new number is added to the original number. The resultant number is always divisible by
(a) 8
(b) 9
(c) 7
(d) 11

Q15. The system of equations 2x + ky = 11 and 5x – 7y = 5 has no solution if the value of k is
(a) 13/5
(b) -13/5
(c) -14/5
(d) -16/5