Quant mock(Speed test-13) for Govt. exams(15 qns)

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1. How many diagonals does a 63-sided convex polygon have?

a.3780  b.1890  c.3843  d.3906  e.1953

2. y = x² + bx + 256 cuts the x axis at (h, 0) and (k, 0). If h and k are integers, what is the least value of b?

a.-32  b.-256  c.-255  d.-257 

3.How many trailing zeros will be there after the rightmost non-zero digit in the value of 25!

a.25  b.8  c.6  d.5  e.2

4. The MRP of a product is 55% above its manufacturing cost. The product is sold through a retailer, who earns 23% profit on his purchase price. What is the profit percentage (expressed in nearest integer) for the manufacturer who sells his product to the retailer? The retailer gives 10% discount on MRP.

a.31%  b.22%  c.15%  d.13%  e.11%

5.How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters?

a. 5¹⁰  b.10⁵  c.10P₅  d.10C₅

6. 10²⁵ - 7 is divisible by

a.2  b.3  c.9  d.NOT

7. 'a' and 'b' are the lengths of the base and height of a right angled triangle whose hypotenuse is 'h'. If the values of 'a' and 'b' are positive integers, which of the following cannot be a value of the square of the hypotenuse?

a.13  b.23  c.37  d.41

8. A passenger train covers the distance between stations X and Y, 50 minutes faster than a goods train. Find this distance if the average speed of the passenger train is 60 kmph and that of goods train is 20 kmph.

a.20 kms  b.25 kms  c.45 kms  d.40 kms

9. I travel the first part of my journey at 40 km/h and the second part at 60 km/h and cover the total distance of 240 km to my destination in 5 hours. How long did the first part of my journey last?

a.4 h   b.2 h   c.3h   d.NOT

10. Four men and three women can do a job in 6 days. When five men and six women work on the same job, the work gets completed in 4 days. How long will a woman take to do the job, if she works alone on it?

a.18 d  b.36d  c.54d  d.NOT

11.A contractor undertakes to do a job in 18 days. He employees certain number of men, but 12 of them being absent from the very first day, the rest can complete the work in 30 days. The number of men originally employed?

a. 20  b. 25  c.30  d. 40

12.A sum of money is lent for 2 years at 20% p.a. compound interest. It yields Rs 482 more when compounded semi-annually than compounded annually. What is the sum lent?
a.Rs 25,600  b.Rs 20,000  c.Rs 26,040  d.Rs 40,500

13.A mixture containing milk and water in the ratio 3:2 and another mixture contains them in the ratio 4:5. How many litres of the later must be mixed with 3 litres of the former so that the resulting mixture may contain equal quantities of milk and water?
a. 3.3/4 litre  b. 4.1/2 litre  c. 5.2/3 litre  d. 5.2/5 litre

14.In a group of 8 boys, 2 men aged at 21 and 23 were replaced two new boys. Due to this the average cost of the group increased by 2 years. What is the average age of the 2 new boys?
a. 17  b.30  c.28   d.23

15.The ratio between the rate of speed of travelling of A and B is 2:3 and therefore A takes 20 minutes more than time taken by B to reach a particular destination. If A had walked at double the speed, how long would he have taken to cover the distance?
a.60 min  b.35 min  c.20 min  d.30 min