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

Quant mock(Speed test-12) for Govt. exams(15 qns)

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1.If a Shopkeeper offers a discount of 30% on the Marked price, then he makes a loss of 16%. What % profit or % loss will he make if he sells at a discount of 10% of the Marked  price?

a.6% loss   b. 0.8% profit    c. 6.25% loss  d.8% profit

2.A, B and C can do a work in 5 days, 10 days and 15 days respectively. They started together to do the work but after 2 days A and B left. C did the remaining work in

a. 1   b.3   c.5   d.4

3.’A’ completes 60% of a task in 15 days and then takes the help of  B and C. B is 50% as efficient as ‘A’ is and C is 50% as efficient as B is. In how many more days will they complete the work?

a.13(1/3)  b.8(1/3)  c.5(5/7)   d.7(5/7)

4.The average age of a family of 5 members is 20 years. If the age of the youngest member is 10 years, what was the average age of the family just a day before the birth of the youngest member?

a. 13.5  b.14  c.15  d.12.5

5.The sum of third and ninth term of an A.P is 8. Find the sum of the first 11 terms of the progression.

a.44  b.22  c.19  d.NOT

6.A candidate who gets 20% marks fails by 10 marks but another candidate who gets 42% marks gets 12% more than the passing marks. Find the maximum marks.

a.50  b.100  c.150  d.200

7.’A’ weighs twice as much as B. B’s weight is 60% of C's weight. D's weight is 50% of E's. E weighs 190% as much as A does. Which of these 5 persons weighs the least?

a.C  b.D  c.A  d.E  e.B

8.If x units are added to the length of the radius of a circle, what is the number of units by which the circumference of the circle is increased?

a.x  b.2  c.2π  d.2πx  e.x²

9.A triangle has sides a², b² and c². Then the triangle with sides a, b, c has to be:-

a.Right-angled  b.Acute-angled  c.Obtuse-angled d.NOT

10.Circle with center O and radius 25 cms has a chord AB of length of 14 cms in it. Find the area of triangle AOB.

a.144 cm²    b.121 cm²    c.156 cm²  d.168 cm²

11: What is the distance between the orthocentre and the circumcenter of a triangle who sides measure 24 cm, 26 cm and 10 cm?

a.13 cm   b.12 cm  c.7.5 cm   d.√30 cm

12.Pipes A, B and C can fill a tank in 30, 60 and 120 min respectively. Pipes B and C are kept open for 10 min, and then Pipe B is shut while Pipe A is opened. Pipe C is closed 10 min before the tank overflows. How long does it take to fill the tank?

a.40 min  b.28 min  c.30 min  d.36 min

13.The sides of a triangle are 5, 6 and 10.  Find the length of the longest side of a similar triangle whose shortest side is 15

a.10  b.15  c.18  d.4

14.For what value of 'z' will the quadratic equation x² - zx + 4 = 0 have real and equal roots?

a.16  b.8  c.2  d.-4

15.If both 11² and 3³ are factors of the number a * 4³ * 6² * 13¹¹, then what is the smallest possible value of a?

a.121  b.3267  c.363  d.33

Quant mock(Speed test-11) for Govt. exams(15 qns) 60-70%Triangles

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1.x² + zx + 72 = 0 has two distinct integer roots; how many values are possible for 'z'?

a. 3      b.12     c.6       d.24

 

2.In what ratio should a 20%  alcohol solution be mixed with a 50% alcohol solution so that the resultant solution has 40%  alcohol in it?

a. 1 : 2   b.2 : 1  c.1 : 3  d. 3 : 1

3.The sum of the fourth and twelfth term of an arithmetic progression is 20. What is the sum of the first 15 terms of the arithmetic progression?

a.300  b.120  c.150  d.170

4. In a class 40% of the students enrolled for science and 70% enrolled for computer. If 15% of the students enrolled for both science and computer, what % of the students of the class did not enroll for either of the two subjects?
a.5%   b.15%   c.0%  d. 25%

5. If the diagonal and the area of a rectangle are 25 m and 168 m², what is the length of the rectangle.

a. 17m  b.31m  c.12m  d.24m

6.Rs.432 is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share which is equal to 6 times C's share. How much did A get?

a. Rs.192   b.Rs.133   c.Rs.144   d.Rs.128

7.The marks scored by a student in three subjects are in the ratio of 4 : 5 : 6. If the candidate scored an overall aggregate of 60% of the sum of the maximum marks and the maximum marks in all three subjects is the same, in how many subjects did he score more than 60%?

a.1  b.2  c.3  d.4

8.ABCDE is a regular pentagon. O is a point inside the pentagon such that AOB is an equilateral triangle. What is ∠OEA?

a.66  b.48^°  c.54^°  d.72^°

9.Consider a right–angled triangle with inradius 2 cm and circumradius of 7 cm. What is the area of the triangle?

a.32 ²cm  b.31.5 ² cm  c.32.5 ² cm d.33 ² cm

10.Two sides of an isosceles triangle measure 3 and 7.  Which of the following could be the measure of the third side?

a.9   b.7  c.5  d.3

11.The midpoints of the sides of triangle ABC are labeled D, E and F.  If the perimeter of triangle DEF is 24, find the perimeter of triangle ABC.

a.48  b.72  c.96  d.120

12.What is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9, 40 and 41?

a.6  b.4  c.24.5  d.20.5

13.If 10, 12 and 'x' are sides of an acute angled triangle, how many integer values of 'x' are possible?

a.7  b.12  c.9  d.13

14.What is the area of an obtuse angled triangle whose two sides are 8 and 12 and the angle included between two sides is 150^o?

a.24 sq cm  b.48 sq cm  c.28 sq cm  d. 48sq. cm

15.What is the radius of the incircle (circle inscribed) of the triangle whose sides measure 5, 12 and 13 units?

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