# SSC Math in English Mock Test-3

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### SSC Math in English Mock Test-3

SSC Math online Test has 25 questions. For correct answer you will get 3 marks & for wrong answer -1 (minus 1) mark. After submitting Answer sheet, you can check right and wrong answers as well as your total marks with Explanation.
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1.A and B together can do a piece of work in 6 days and A alone can do it in 9 days. The number of days B will take to do it alone is

2.Anand can do a piece of work in 45 days, but Bahuguna can do the same work in 5 days less, than Anand, when working alone. Anand and Bahuguna both started the work together but Bahuguna left after some days and Anand finished the remaining work in 56 days with half of his efficiency but he did the work with Bahuguna with his complete efficiency. For how many days they had worked together?

3.Rice is now being sold at Rs. 30 per kg. During last month its rate was Rs. 26 per kg. Find by how much percentage must a family reduce its consumption to keep the expenditure fixed?

4.The value of the expression 2 (sin⁶ θ + cos⁶ θ) – 3 (sin⁴ θ + cos⁴ θ) + 1 is

5.The value of (2 cos²θ – 1) ((1+tanθ)/(1-tanθ)+(1-tanθ)/(1+tanθ)) is

6.An accurate clock shows the time as 3.00. After hour hand has moved 135°, the time would be

7.A bag contains an equal number of 1 rupee, 50 paise and 25 paise coins respectively. If the total value is Rs. 35, how many coins of each type are there?

8.If Farmer D and Farmer E, both sell 240 kg of Bajra each, what would be the respective ratio of their earnings?

9.A total of 255 coins is placed in n boxes, such that a person can take any number of coins from 1 to 255 by selecting a suitable combination of one or more than 1 boxes out of n boxes, the minimum value of n is ________________.

10.What is the number of distinct triangles with integral valued sides and perimeter as 14?

11. 15 men take 20 days to complete a job working 8 hours a day. The number of hours a day should 20 men take to complete the job in 12 days

12.The value of the expression x⁴ – 17x³ + 17x² – 17x + 17 at x = 16 is:

13.If the volume of two cubes are in the ratio 27 : 1, the ratio of their edge is :

14.A person starts from a point A and travels 3 km eastwards to B and then turns left and travels thrice that distance to reach C. He again turns left and travels five times the distance he covered between A and B and reaches his destination D.
The shortest distance between the starting point and destination is

15.A Pipe can fill a tank in x hours and another can empty it in y hours. In how many hours they together fill it in (y > x):

16.In a class 60% of the students pass in Hindi and 45% pass in Sanskrit. If 25% of them pass in both subjects, what percentage of the student fails in both subjects? कक्षा में हिंदी में 60%

17.A hemispherical bowl of internal radius 9 cm, contains a liquid. This liquid is to be filled into small cylindrical bottles of diameter 3 cm and height 4 cm. Then the number of bottles necessary to empty the bowl is

18.A vessel contains 20 liters of acid. 4 liters of acid is taken out of the vessel and replaced by the same quantity of water. Next 4 liters of the mixture are withdrawn, and again the vessel is filled with the same quantity of water ,ratio of acid left in the vessel with the quantity of acid initially in the vessel is?

19.The average monthly income of person in a certain family of 5 is Rs. 1000.
What will be monthly average income of person in the same family if the income of one person increased by Rs. 12000 per year?

20.If a² + b² + c² = 2 (3a – 4b – 6c) – 61. Find value of (a – b – c).

21.The ratio of cost price and selling of an article is 4 : 5. The profit percent is

22.A and B can separately do a piece of work in 6 days and 12 days respectively. How long will
they together take to do the work ?

23.There are three brothers. The sums of ages of two of them at a time are 4 years, 6 years and 8 years. The difference between the eldest and the youngest is ?

24.A girl can swim at 6 kmph downstream and 4 kmph upstream. What will be the speed of the girl in still water ?

25.A water tap fills a tub in ‘p’ hours and a sink at the bottom empties it in ‘q’ hours. If ‘p < q and both tap and sink are opened the tank is filled in ‘r’ hours; then the relation between p, q, r is:

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