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

Solution Click Here

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

Quant mock test-5 for Govt. exams(15 qns) 10min Ans by 03-jul-16

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1.An  alloy of zinc and copper contains the metals in the ratio 5 : 3. The quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is:
A)3  B)6  C)8  D)9

2.100 oranges are bought at the rate of Rs. 350 and sold at the rate of Rs. 48 per dozen. The percentage of profit or loss is:
A) 100/7% gain   B) 15% gain   C) 100/7% loss    D) 15 % loss

3.A teacher can divide her class into groups into groups of 5,13 and 17. What is the smallest possible strength of the class? 
a.835    b.940    c.1105    d.1220

4. A new apartment complex purchased 60 toilets and 20 shower heads. If the price of a toilet is three times the price of a shower head, what percent of the total cost was the cost of all the shower heads?
a) 9%   b) 10%  c) 11%  d) 13%
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5.A, B and C can do a piece of work in 20, 30 and 60 days respectively. In how many days can A do the work if he is assisted by B and C on every third day?
A. 12 days       B. 15 days     C. 16 days    D. 18 days

6.There are two bags A and B. A contains 6 red flowers and 3 pink flowers. where as bag B contains 2 red flowers and 7 pink flowers. One flower is chosen from a bag randomly. What is the probability that the flower chosen is pink?
a. 4/9   b. 1/3   c. 5/4   d. 5/9

7. A team P of 20 engineers can complete work or task in 32 days. Another team Q of 16 engineers can complete same task in 30 days.Then the ratio of working capacity of 1 member of P to the 1 member of Q is

a. 3 : 2             b. 4 : 3             c. 2 : 5             d. 3 : 5

8. starts business with Rs. 35,000 and after 5 months, B joins with A as his partner. After a year, the profit is divided in the ratio 2:3. What is B’s contribution in the capital?
A) Rs .7500                 B) Rs. 8000                 C) Rs. 8500                 D) Rs. 9000
 

9. A batsman makes a score of 87 runs in the 17th inning and thus increases his average by 3 . Find his average after 17th inning.
A) 39               B) 38               C) 38.5            D) 39.5
 

10.  By selling 300 apples a seller gains the selling price of 60 apples. The gain percent of the seller is
A) 200    B) 20%   C) 25%   D) 16 2/3%
 

11. The average monthly salary of 8 workers and one supervisor in a factory was Rs430. When the supervisor, whose salary was Rs870 per month, retired, a new person was appointed and then the average salary of 9 people was Rs400 per month. The salary of the new supervisor is:
A. Rs 700        B. Rs 600         C. Rs 430         D. Rs 400

12. The average score of 35 students in a class is 37. If every student is given 3 grace marks, the new average of the class is:
A. 45   B. 34    C. 43    D. 40

13. Consider two postmen A and B respectively. A is young and can deliver 20 parcels in 3 hours while B is older than A and can deliver only 15 parcels in 4 hours. If the total number of parcels to deliver is 60, how long they will take working together.
a. 121/12 hours            b. 144/36 hours           c. 144/25 hours            d. 121/25 hours

14. The ratio of the present ages of Sunita and Vinita is 4:5. Six years hence the ratio of their ages will be 14:17. What will be the ratio of their ages 12 years hence? 

1) 15:19           2) 13:15           3) 16:19           4) 17:19 

15. If the price of petrol increases by 25% and Kevin intends to spend only 15% more on petrol. By how much percent should he reduces the quantity of petrol that he buys?

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