Sainik School – 2019 Math Paper Test 2

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Sainik School – 2019 Math Paper Test 2

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1. Question

A piece of wire 7/8-meter-long broke into two pieces. One piece was 1/4-meter long. How long is the other piece?

2. Question

What is the missing number in the sequence 2, 5, 10, 14, 18, 23, 26, 32, …?

3. Question

30 men can do a piece of work in 16 days. In how many days 8 men can do the same work?

4. Question

Ram, Shyam and Mohan runs at speed of 75, 50 and 30 m/min respectively. After how much time will they meet together for the first time running with the same speed?

5. Question

Represent 26 kg 5 g using concept of decimals.

6. Question

At what rate, a sum of ₹6000 will amounts to ₹7800 is 5 yr?

7. Question

What will be the depth of a cubical pond whose volume is 729m3?

8. Question

Evaluate 3 x7 + 4 – 6 ÷ 3 – 7 + 45 ÷ 5 x 4 + 49.

9. Question

In what time a train whose length is 100 m moving with a speed of 60 km/h crosses a platform whose length is 150 m?

10. Question

Ashu takes 12 days to complete the work. Pranav takes 10 days to complete the same work. Ashu, Pranav and Ramu take 5 days to complete the same work. How many days will Ramu take to complete the same work?

11. Question

The LCM of two numbers is 28 times of their HCF. The sum of their LCM and HCF is 1740. If one number is 240 then what is the other number?

12. Question

Four clocks rings at the time interval of 6s, 8s, 12s and 18s respectively. If they ring together at 12 AM then how many times will they ring together within the time span of 6 min?

13. Question

What is the least multiple of 23 which when divided by 18, 21 and 24 leaves remainders 7, 10, and 13 respectively?

14. Question

A milkman has two cans of milk containing 75 L and 45 L of milk respectively. What will be the measure of largest vessel that can measure the milk of the two cans exactly?

15. Question

A table was purchased at ₹1000 and was sold at ₹800. What was gain or loss% in this transaction?

16. Question

The average weight of 6 boys gets increased by 5kg if a boy with weight 20 kg is replaced by a new boy. What is the weight of new boy?

17. Question

A man covers a distance of 40km. He covers first 10 km at 10km/h, second 10 km at 20km/h, third 10 km at 30km/h and last 10km at 40km/h. What is the average speed of man?

18. Question

If area of rectangular garden of 5m breadth is 300sq m, then what will be the length of garden?

19. Question

If the square of a number is added to the square of 28 the result is 1808. What is the number?

20. Question

Cost of a dozen pens is ₹180 and cost of 8 ball pens is ₹56. The ratio of the cost of a pen to the cost of a ball pen is?

21. Question

A truck requires 108 L of diesel for covering a distance of 594 km. How much diesel will be required by the truck to cover a distance of 1650 km?

22. Question

Find the simple interest on ₹5000 at the rate of 7 % for a period of 3 yr.

23. Question

The angles of a triangle are in the ratio of 1: 2: 3. Find the values of the angles.

24. Question

One number exceeds another number by 36. The sum of numbers is 48, then the numbers are

25. Question

At which one of the following times is the angle between the hands of a clock exactly one straight angle?

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What will be the depth of a cubical pond whose volume is 729m³?

Find the simple interest on ₹5000 at the rate of 7 $\frac{1}{2}$ % for a period of 3 yr.