Q1. Two pipes can fill a tank in 8 hr and 12 hr respectively where as an escape pipe can empty it in 6 hr. If the three pipes are opened at 1 pm, 2 pm and 3 pm respectively, at what time will the tank be filled?
(a) 8 am
(b) 7 am
(c) 5 am
(d) None of these
Q2. A alone would take 8 hr more to complete the job than if both A and B worked together. If B worked alone, he took 41/2 hr more to complete the job than if A and B worked together. What time would they take if both A and B worked together?(a) 8 days
(b) 5 days
(c) 2 days
(d) 6 days
Q3. The ratio of two liquids in a mixture is 3 : 5 and that in another mixture is 6 : 1. The ratio in which these two mixtures should be mixed so as to the ratio of the liquids 7 : 3 is
(a) 44 : 71
(b) 44 : 81
(c) 44 : 51
(d) 44 : 91
Q4. Three friends Anita, Bindu and Champa divided Rs. 1105 amongst them in such a way that if Rs. 10, Rs. 20 and Rs. 15 are removed from the sums that Anita, Bindu and Champa received respectively, then the share of the sums that they got will be in the ratio of 11 : 18 : 24. How much did Champa receive?
(a) Rs. 495
(b) Rs. 510
(c) Rs. 480
(d) Rs. 375
Q5. The population of a colony was 3600 three years back. It is 4800 right now. What will be the population three years down the line, if the rate of growth of population has been constant over the years and has been compounded annually?
(a) 6000
(b) 6400
(c) 7200
(d) 9600
Q6. A truck covers a distance of 550 metres in 1 minute whereas a bus covers a distance of 33 km is 45 minute. The ratio of their speeds is
(a) 4 : 3
(b) 3 : 5
(c) 3 : 4
(d) 50 : 3
Q7. Walking ¾ of his usual speed, a person is 10 min. late to his office. Find his usual time to cover the distance.
(a) 30 min.
(b) 35 min.
(c) 28 min.
(d) 25 min.
Q8. If 2x^2-7xy+3y^2 = 0, then the value of x : y is
(a) 3 : 2
(b) 2 : 3
(c) 3 : 1 and 1 : 2
(d) 5 : 6
Q10. The perimeter of two similar triangle ABC and PQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then the length of AB is
(a) 16 cm
(b) 12 cm
(c) 14 cm
(d) 15 cm
Q11. The area of four walls of a room is 120 m^2 and the length is twice the breadth. If the height of the room is 4 m, then find the area of the floor.
(a) 48 m^2
(b) 49 m^2
(c) 50 m^2
(d) 52 m^2
Q12. The LCM and HCF of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1 : 4, then the larger of the two number is
(a) 12
(b) 48
(c) 84
(d) 108
Q13. A and B can separately do a work in 20 and 15 days respectively. They worked together for 6 days after which B was replaced by C. If the work is finished in next four days, the number of days in which C alone can do the work will be
(a) 45 days
(b) 35 days
(c) 40 days
(d) None of these
Q14. D and E are two points on the sides AB and AC of a triangle ABC in a such way that DE || BC. DE, divides triangle ABC into two parts of equal area, then what is the ratio between AD and BD?
(a) 1 : √2
(b) 1 : √2 + 1
(c) 1 : 1
(d) 1 : √2-1
Q15. When x^m is multiplied by x^n, product is 1. The relation between m and n is
(a) mn = 1
(b) m + n = 1
(c) m = n
(d) m = -n
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