Quant mock test-4 for Govt. exams(15 qns) 10min Ans by 30-jun-16

Solution

1.The surface area of a cube is 726 m².Its volume is:a. 1300 m³ b. 1331 m³ c. 1452 m³   d. 1542 m³
 

2. A metal sheet 27 cm long 8 cm broad and 1 cm thick is melted into a cube. The difference between  the surface areas of two solids is :   a. 284 cm²       b. 286 cm²    c. 296 cm²   d. 300 cm²
 

3. The radius of a circular cylinder is the same as that of a sphere. Their volumes are equal. The height of the cylinder is :
  a.4/3times its radius   b. 2/3 times its radius c. equal to radius d. equal to its diameter

 
4. Ravi started cycling along the boundaries of a square field from corner point A.  After half an hour, he reached the corner point C, diagonally opposite to A. If his speed was 8 km/hr. what is the area of the field in square km ?
a. 64   b. 8   c. 4   d. Cannot be determined
 

5. If a boy takes as much time in running 10 m as a car takes in covering 25 m, the distance covered by the boy during the time the car covers 1 km. is :  a. 400 m  b. 40  m  c. 250 m  d. 650 m
 

6. Two trains start at the same time from Vijayawada and Madras and proceed towards each other at 16 km/hr and 21 km/hr respectively. When they meet, it is found that one train has travelled 60 km more than the other. The distance between the two stations is : a. 445 km  b. 444 km  c. 440 km  d. 450 km

7. P, Q, R run around a circular track 1200 m long with speed of 9, 18, 27 kmph.  If they start at the same point and at the same time in the same direction, when will they meet again at the starting point?
a. 360 sec  b. 480 sec  c. 240 sec       d. None
 

8. The difference between the interests received from two different banks on Rs.500 for 2 years, is Rs.2.50.The difference between their rates is :  

a. 1%   b. 0.5%  c. 2.5%  d. 0.25% 

9. A loan was repaid in two annual instalments of Rs.112 each. If the rate of interest be 10% per annum compounded annually, the sum borrowed was : 

 a. Rs.200  b. Rs.210  c. Rs.217.80  d. Rs.280
 

10. What is the principal amount which earns Rs.132 as compound interest for the second year at 10% per annum ?
a. Rs.1000  b. Rs.1200  c. Rs.1320  d. None of these

11. The greatest number by which if 1657 and 2037 are divided the remainders will be 6 and 5 respectively is

a. 127    b. 235   c. 260   d. 305

 
12.  Jayant started a business, investing Rs.6000. Six months later Madhu joined him, investing Rs.4000. If they made a profit of Rs.5200 at the end of the year, how much be the share of Madhu ?
a. Rs.2080  b. Rs.1300  c. Rs.1800  d. Rs.2600
 
13. 5% Income of A is equal to 15% Income of B and 10% Income of B is equal to 20% Income of C.  If income of C is Rs.2000, then total income of A, B and C is :
a. Rs.6000  b. Rs.18000  c. Rs.20000  d. Rs.14000
 
14. Two pipes P and Q can fill a tank in 6 hrs. and 4 hrs. respectively.  If they are opened on alternate hours and if pipe P is opened first, in how many hours, the tank shall be full ? 
a) 4   b) 5  c) 4.5   d) 6.5
 
15. A train crosses a platform 100 metres long in 60 seconds at a speed of 45 km per hour.  The time taken by the train to cross an electric pole is :
a. 8 seconds  b. 1 minute  c. 52 seconds  d. Date inadequate.

Quant mock test-3 for Govt. exams(15 qns) 10min Ans by 28-jun-16

Video Solution Click Here

1.A contractor undertakes to built a walls in 50 days. He employs 50 peoples for the same. However after 25 days he finds that only 40% of the work is complete. How many more man need to be employed to complete the work in time ?

a. 25   b. 30   c. 35   d. 20

2.A tyre has two punctures. The first puncture along would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes. If air leaks out at a constant rate, how long does it take both the punctures together to make it flat ?

a.1(1/2) minutes  b.3(1/2) minutes  c. 3(3/5)minutes  d.4(1/4) minutes

3.10 men can complete a piece of work in 15 days and 15 women can complete the same work in 12 days. If all the 10 men and 15 women work together, in how many days will the work get completed ?

a. 6    b. 6(1/3)   c.6(2/3)   d.7( 2/3)

4.A garrison had provision for a certain number of days. After 10 days, 1/5 of the men desert and it is found that the provisions will now last just as long as before. How long was that ?

a. 15 days   b. 25 days  c. 35 days   d. 50 days

5.A contract is to be completed in 46 days and 117 men were set to work, each working 8 hours a day. After 33 days, 4/7 of the work is completed. How many additional men may be employed so that the work may be completed in time, each man now working 9 hours a day ?

a. 80   b. 81   c. 82    d. 83

6.A, B, C can do a piece of work in 56, 84, 280 hours respectively. If they work together, how many hours will they take

a.30 hours   b. 20 hours  c. 10 hours  d. 15 hours

7.Ravi’s salary is 150% of Amit’s salary. Amit’s salary is 80% of Ram’s salary. What is the ratio of Ram’s salary to Ravi’s salary ?

a.1 : 2   b. 2 : 3   c. 5 : 6   d. 6 : 5

8.A sum of ` 4558 is divided among A, B and C such that A receives 20% more than C, and C receives 25% less than B. What is A's share in the amount ?

a.1548  b.  1720   c. 1290  d. 1345

9.A screw driver and a hammer currently have the same price. If the price of a screw driver rises by 5% and the price of hammer goes up by 3%, then how much more will it cost to buy 3 screw drivers and 3 hammers ?

a.3%   b. 4%   c. 5%   d. 8%

10.The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively and consequently the population of the village becomes 5600. What was the number of males in the village?

a. 2000  b. 2500  c. 3000  d. 4000

11.In an examination, 70% of the students passed in the Paper I, and 60% of the students passed in the Paper II. 15% of the students failed in both the papers while 270 students passed in both the papers. What is the total number of students ?

a. 600   b. 580   c. 560  d. 540

12.How many numbers are there between 500 and 600 in which 9 occurs only once?

a. 19   b. 18   c. 20  d. 21  e. None of these

13.How many pieces of 8.6 metres length cloth can be cut out of a length of 455.8 metres cloth?

a. 43  b. 48  c. 55   d. 53  e. 62

14.Deepak has some hens and some goats. If the total number of animal heads is 90 and the total number of animal feet is 248, what is the total number of goats Deepak has ?

a. 32   b. 36    c. 34   d. Cannot be determined   e. None of these

15.The smaller number by which 3600 can be divided to make it a perfect cube is :

a. 9   b. 50   c. 300   d. 450   e. None of these

Mock Quant Test 2 for Trigonometry and Mensuration (20 Qn) 15min for all Govt. Exams

Solution

1. In a triangle ABC, points P, Q and R are the mid-points of the sides AB, BC and CA respectively. If the area of the triangle ABC is 20 sq. units, find the area of the triangle PQR

(a) 10 sq. Units   (b) 5.3 sq. Units  (c) 5 sq. units    (d) None of these

2. Two circles touch each other internally. Their radii are 2 cm and 3 cm. The biggest chord of the outer circle which is outside the inner circle is of length

(a) 2 (2)^1/2 cm (b) 3 (2)^1/2 cm (c) 2(3)^1/2 cm (d) 4(2)^1/2 cm

3.. From a circular sheet of paper with a radius of 20 cm, four circles of radius 5cm each are cut out. What is the ratio of the uncut to the cut portion?

(a) 1 : 3 (b) 4 : 1 (c) 3 : 1 (d) 4 : 3

4..The length of a ladder is exactly equal to the height of the wall it is resting against. If lower end of the ladder is kept on a stool of height 3 m and the stool is kept 9 m away from the wall the upper end of the ladder coincides with the tip of the wall. Then, the height of the wall is

(a) 12 m (b) 15 m (c) 18 m (d) 11 m

5..ABCD is a square, F is the mid-point of AB and E is a point on BC such that BE is one-third of BC. If area of DFBE = 108 m², then the length of AC is :

(a) 63 m (b) 36(2)^1/2m (c) 63( 2)^1/2 m (d) 72(2)^1/2 m

6.. The line x + y = 4 divides the line joining the points (–1, 1) and (5, 7) in the ratio

(a) 2 : 1 (b) 1 : 2  (c) 1 : 2 externally (d) None of these

7..OA is perpendicular to the chord PQ of a circle with centre O. If QR is a diametre, AQ = 4 cm, OQ = 5 cm, then PR is equal to (a) 6 cm (b) 4 cm. (c) 8 cm (d) 10 cm

 

8.In the given fig. AB | | QR, find the length of PB. (a) 3 cm (b) 2 cm (c) 4 cm (d) 6 cm

9.If ABCD is a square and BCE is an equilateral triangle, what is the measure of the angle DEC?

(a) 15° (b) 30°  (c) 20° (d) 45°

10.In given fig, if <BAC = 60° and <BCA = 20° find <ADC (a) 60° (b) 45° (c) 80° (d) 90°

 

11. In the figure AG = 9, AB = 12, AH = 6, Find HC. (a) 18 (b) 12 (c) 16 (d) 6

12. In the given figure given below, E is the mid-point of AB and F is the midpoint of AD. if the area of FAEC is 13, what is the area of ABCD ? (a) 19.5 (b) 26 (c) 39 (d) None of these

13.In the figure, AB = 8, BC = 7 m, <ABC = 120^o. Find AC. (a) 11 (b) 12 (c) 13 (d) 14

14. In the given figure, AB is chord of the circle with centre O,BT is tangent to the circle. The values of x and y are (a) 52º, 52º (b) 58º, 52º   (c) 58º, 58º (d) 60º, 64

15. If O is the in-centre of DABC; if <BOC = 120°, then the measure of <BAC is

(a) 30° (b) 60° (c) 150° (d) 75°

16.Two circles intersect each other at P and Q. PA and PB are two diameters. Then <AQB is  (a) 120° (b) 135° (c) 160° (d) 180°

17.The radius of the circumcircle of the triangle made by xaxis, y-axis and 4x + 3y = 12 is

(a) 2 unit (b) 2.5 unit (c) 3 unit (d) 4 unit

18.Two circles intersect each other at P and Q. PA and PB are two diameters. Then <AQB is

(a) 120° (b) 135° (c) 160° (d) 180°

19. The length of the circum-radius of a triangle having sides of lengths 12 cm, 16 cm and 20 cm is (a) 15 cm (b) 10 cm (c) 18 cm (d) 16 cm

20. D and E are the mid-points of AB and AC of Triangle ABC. If <A = 80°, <C = 35°, then <EDB is equal to (a) 100° (b) 115° (c) 120° (d) 125°