Quant mock(Speed test-8) for Govt. exams(15 qns)

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1..If the numerator of a fraction is increased by 500% and the denominator is increased by 300%, the resultant fraction is 2( 4/7). What was the original fraction?

(a) 4/7 (b) 12/7 (c) 15/4 (d) 6/5  (e) None of these

2.A reduction of 20% in the price of an apple enable a man to buy 10 apple more for Rs 54. The reduced price of apple per dozen is  Rs 4.32 (b) Rs 12.96 (c)Rs 10.80 (d)Rs 14.40 (e) None of these

  

3.The students in three classes are in the ratio 2:3:5.  If 20 students are increased in each class, the ratio changes to 4:5:7. The total number of students before the increase were :
a. 10  b. 90  c. 100  d. None of these

4.A man has some hens and some cows. If the number of heads is 50 and number of feet is 142. The number of cows is:
a. 26  b. 24  c. 21  d. 20

5.A sum of Rs. 350 made up of 110 coins, which are of either Rs. 1 or Rs. 5 denomination. How many coins are of Rs. 5?
a. 52  b. 60  c. 62  d. 72

6.A spherical lead ball of radius 10 cm is melted and small lead balls of radius 5 mm are made. The total number of possible small lead balls is :
a. 800  b. 125  c. 400  d. 8000

7.The radius of a wire is decreased to one-third. If volume remains the same, length will increase:
a. 1 time  b. 3 times  c. 6 times  d. 9 times

8.One year payment to the servant is Rs. 200 plus one shirt. The servant leaves after 9 months and recieves Rs. 120 and a shirt. What is the price of the shirt?

a.Rs.80  b.Rs.100  c.Rs.120   d.Cannot be determined

9.A trader makes a profit equal to the selling price of 75 articles when he sold 100 of the articles. What % profit did he make in the transaction?

a.33.33%  b.75% c.300% 4.150%

10.'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

11.A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?

a.1 : 6  b.1 : 5  c. 1 : 25  d : 125

12.Four horses are tethered at 4 corners of a square field of side 70 metres so that they can just about reach one another. The area left ungrazed by the horses is:

a.1050 sq.m b.3850 sq.m c.950 sq.m d1075 sq.m

13.Find the remainder when the polynomial x⁴ - 3x² + 7x - 10 is divided by (x - 2).

a.8  b.-20 c.18  d.0

14.A railway half ticket costs half the full fare and the reservation charge is the same on half ticket as on full ticket. One reserved first class ticket from Chennai to Trivandrum costs Rs. 216 and one full and one half reserved first class tickets cost Rs. 327. What is the basic first class full fare and what is the reservation charge?

a.Rs. 105, Rs. 6  b.Rs. 216 , Rs. 12  c.Rs. 210 , Rs. 12   d.Rs. 210 , Rs. 6

15. A 20 litres mixture of milk and water comprising 60% pure milk is mixed with "x" litres of pure milk. The new mixture comprises 80% milk. What is the value of "x"?
a.40 litres  b.20 litres  c.8 litres  d.16 litres