Quant mock test-6 for Govt. exams(20 qns) 12min Ans by 05-jul-16

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1.In a circular race of 1200m, A and B start from the same point and at the same time with speeds of 27kmph and 45 kmph.  Find when will they meet again for the first time on the trace when they are running in the same direction and Opposite direction?
a. 240, 60 Secs   b. 200, 60 secs    c. 200, 80 Sec   d. None of these

2. 8 children and 12 men complete a certain piece of work in 9 days. If each child takes twice the time taken by a man to finish the work, in how many days will 12 men finish the same work ?
a. 8    b. 15     c. 9     d. 12

3.A can do a certain job in 12 days. B is 60% more efficient than A. The number of days it takes for B to do the same piece of work, is :
a. 6    b. 6(1/4)    c. 7(1/2)    d. 8

4. Two equal amounts of money are deposited in two banks, each at 15% per annum, for 3(1/2) and 5 years. If the difference between their interest is Rs.144, each sum is :
a. Rs.460  b. Rs.500  c. Rs.640  d. Rs.720

5. A sum of money becomes 8/5^th  of itself in 5 years at a certain rate of interest. The rate percent per annum is :
a. 5%  b. 8%  c. 10%  d. 12%

6. A shop-keeper earns a profit of 12% on selling a book at 10% discount on the printed price. The ratio of the cost price and the printed price of the book is :

a. 45 : 56     b. 50 : 61  c. 99 : 125  d. NOT

7. The ratio of the prices of three different types of cars is 4:5:7. If the difference between the costliest and the cheapest cars is Rs.60000, the price of the car of modest price is :

a. Rs.80k  b. Rs.100k  c. Rs.140k  d.120k

8. A person bought an article and sold it at a loss of 10%.  If he had bought it for 20% less and sold it for Rs.55 more, he would have had a profit of 40%. The C.P.of the article is :

a. Rs.200  b. Rs.225  c. Rs.250  d.NOT

9. A 150 meter long train crosses a man walking at the speed of 6 kmph in the opposite direction in 6 seconds. The speed of the train in km/hr is :
a. 66  b. 84  c. 96  d. 106

10. Two trains start at the same time from two stations and proceed towards each other at the speed of 15 km and 20 km per hour respectively. When the trains meet, it is found that one train has travelled 50 km more than the other. Find the distance between the two stations.

a.350  b. 450  c.700  d.NOT

11. In a rhombus, whose area is 144 sq.cim, one of its diagonals is twice as long as the other. The length of its diagonals are :
a. 24 cm, 48 cm  b. 12 cm, 24 cm  c. 6√2 cm, 12√2cm  d. 6 cm, 12 cm

12. The circumferences of two concentric circles are 176 m and 132 m respectively. What is the difference between their radii?
a. 5 metres  b. 7 metres  c. 8 metres  d. 44 metres

13.  The perimeter of an isosceles triangle is equal to 14 cm; the lateral side is to the base in the ratio 5:4. The area of the triangle is :
a. 12√21cm²   b. 32√21cm²   c. √21cm²  d. 2√21cm²

14. If the ratio of the areas of two squares is 9:1, the ratio of their perimeters is :
a. 9:1  b. 3:1  c. 3:4  d. 1:3

15. A man borrows Rs. 2100 and undertakes to pay back with compound interest @ 10% p.a. in 2 equal yearly installments at the end of first and second year. What is the amount of each instalment

a.1210  b.1120  c.1200  d.2400

16. The difference between simple interest and compound interest at the same rate for Rs.5000 for 2 years is Rs.72. The rate of interest is :
a. 10%  b. 12%  c. 6%  d. 8%

17. The point on the y-axis which is equidistant from A(–5, –2) and B(3, 2) is
a. (–4, 0)  b. (0, 2)  c. (0, –2)  d. (0, –4) 

18. The average of three numbers is 42. if we add one more number then the average becomes 40 and if we replace the first number by a number which is 3 more than the recently added number the new average becomes 38. Find the First number.
a) 45   b) 42   c) 37   d) 38

19.An integer A exceeds its reciprocal by 1/4th of 17. Find the product A x sqrtA is equal to:
a) 17   b) 19   c) 13   d) 12

20.There is a rectangular shaped park and a circular garden inside the park. If the length and breadth of the park are 18 m and 14 m respectively then what will be the maximum possible area of the circular garden?
a) 154 sq.cm b) 308 sq.cm c) 218 sq.cm d) 174 sq.cm