Quant mock(Speed test-14) for Govt. exams(15 qns)

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1.If the length of the rectangle is increased by 20%, by what percent should the width be reduced to maintain the same area?
a) 13.37  b) 16.67  c) 21.33  d) 33.33

2.A rectangle whose sides are in the ratio 6:5 is formed by bending a circular wire of radius 21cm. Find the difference between the length and breadth of the rectangle?
a) 6cm   b) 8cm  c) 10cm  d) 12cm

3.Three professors P, Q, R are evaluating answer script of a subject. P is 40 more efficient than Q, who is 20 more efficient than R. P takes 10 days less than Q to complete the evaluation work. P starts the evaluation work and works for 10 days and then Q takes over. Q evaluates for next 15 days and then stops. In how many days, R can complete the remaining evaluation work?
a) 6.2 days  b) 7.2 days  c) 8.2 days  d) 9.2 days

4.9 men and 12 women can complete the job in 12 days.In how many days can 3 men and 4 women finish the same job working together ?
a.36days  b.42days  c.30days  d.28days

5.Kavya’s age is 3 times more than that of Rita. Kavya will be 2 ½ times that of Rita 8 years after. How many times will Kavya’s age be that of Rita 8 more years after?
a) 2.5  b) 2  c) 3  d) 3.5  e) 1.5

6.If 10 labourers can dig a well 40 m deep in 18 days, working 9 hours a day, how many additional labourers should be engaged to dig a similar well 80 m deep in 6 days, each labourer working 9 hours a day?
a) 30  b) 40  c) 50  d) 60

7.A train covers a distance between two stations P and Q in 30 minutes. If the speed of the train is reduced by 10km/hr, then the same distance is covered in 45 minutes. The distance between P and Q
a) 10km  b) 15km  c) 20km  d) 30km 

8.Without any stoppages a person travels a certain distance at an average speed of 40 km/hr and with stoppages he covers the same distance at an average of 20 km/hr. How many minutes per hour does he stop?
a) 15 min  b) 20 min  c) 30 min  d) 45 min

9.12 persons are seated at a circular table. Find the probability that 3 particular persons always seated together.
a) 9/55   b) 7/55  c) 4/55  d) 3/55

10.A boat takes 25 hours for travelling downstream from point A to point B and coming back to point C midway between A and B. If the velocity of the stream is 5 km/hr and the speed of the boat in still water is 10 km/hr, what is the distance between A and B?
a) 100 km  b) 122 km  c) 146 km  d) 178 km  e) 150 km

11.The difference between compound interest earned after 3 years at 5% p.a. and simple interest earned after 4 years at 4% p.a. is Rs 76. Find the principal amount.
a) Rs 32,000  b) Rs 28,000  c) Rs 31,500  d) Rs 32,500

12.A container filled with liquid containing 4 parts of water and 6 parts of milk. How much of mixture must be drawn off and filled with water so that the mixture contains half milk and half water.
a) ¼    b) 1/3  c) 1/6  d) 1/5

13.Sum of 2 numbers is 128 and their HCF is 8. How many numbers of pairs of numbers will satisfy this condition?
a) 2  b) 5  c) 3  d) 6  e) 4

14.What is the radius of the incircle of the triangle whose sides measure 5, 12 and 13 units?

a.2 units  b.12 units  c.6.5 units  d.6 units  e.7.5 units

15.If the ratio of an external anglre and an internal angle of a regular polygon is 1:17

, the number of sides of the regular polygon is,

a.12  b.36  c.20  d.18