Quant mock(Speed test-10) for Govt. exams(15 qns)

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1. If (x + 2)²= 9 and (y + 3) ² = 25, then the maximum value of x/y   is ____.

a.1/2    b. 5/2  c. 5/8  d.1/8

2. ‘R’ is 10 years younger to ‘B’. 10 years back, ‘R’s age was two-thirds that of B's. How old is B  now?

a.30     b.40     c.20   d.16

3. If the sides of a triangle measure 72, 75 and 21, what is the measure of its in radius?

a.37.5  b.24   c.9      d.15

4. A 4 cm cube is cut into 1 cm cubes. What is the percentage increase in the surface area after cutting?

a. 4%  b.300%    c.75%  d.400%

5. A solid metal cylinder of 10 cm height and 14 cm diameter is melted and re-cast into two cones in the proportion of 3 : 4 (volume), keeping the height 10 cm. What would be the percentage change in the flat surface area before and after?

a.9%   b16%  c.25%  d.50%

6.A seller marks his goods up by 75% above his cost price. What is the maximum % discount that he can offer so that he ends up selling at no profit or loss?

a.75%   b.46.67%  c.300%  d. 42.85%

7.Anu  sold an article for Rs.56 which cost him Rs.x. If he had gained x% on his outlay, what was his cost?

a.Rs.40            b.Rs.45            c.Rs.36    d.Rs.28

8.1 unit of x% alcohol is mixed with 3 units of y% alcohol to give 60% alcohol. If x > y, how many integer values can x take?

a.19  b.20  c.21  d.13

9.If 4 times the 4th term of an A.P. is equal to 9 times the 9th term of the A.P., what is 13 times the 13th term of this A.P.?

a.7 times the 13th term  b.0   c.13 times the 7th term  d.NOT

10. Equation x² + 5x – 7 = 0 has roots a and b. Equation 2x² + px + q = 0 has roots a + 1 and b + 1. Find p + q.

a.6  b.-16  c.2  d.NOT

11.An inverted right circular cone has a radius of 9 cm. This cone is partly filled with oil which is dipping from a hole in the tip at a rate of 1cm²/hour. Currently the level of oil 3 cm from top and surface area is 36π cm². How long will it take the cone to be completely empty?

a.216π hours  b.1 hour  c.3 hours  d.36π hours

12. 95% of the students in a class have taken Marketing, 80% have chosen Finance, 84% have chosen (OPS), and 90% have chosen  (HR). What is the maximum and minimum percentage of people who have chosen all of the four?

a.80% and 56%    b.95% and 53%    c.80% and 49%  d.80% and 51%

13.Two friends A and B leave City P and City Q simultaneously and travel towards Q and P at constant speeds. They meet at a point in between the two cities and then proceed to their respective destinations in 54 minutes and 24 minutes respectively. How long did B take to cover the entire journey between City Q and City P?

a.60  b.36  c.24  d.48

14.A car of length 4m wants to overtake a JCB of length 20m travelling at 36km/hr within 10 seconds. At what speed should the car travel?

a.6.3 m/s  b.6.8 m/s  c.5.1 m/s  d.7.6 m/s

15.Sum of first 12 terms of a GP is equal to the sum of the first 14 terms in the same GP. Sum of the first 17 terms is 92, what is the third term in the GP?

a.92  b.-92  c.46  d.231