Sainik School – 2019 Math Paper 26- 50 - VASISTA

Question 1 of 25

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?

4/8 m
5/8 m
6/8 m
7/8 m

Question 2 of 25

2. Question

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

33
34
36
37

Question 3 of 25

3. Question

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

30 days
40 days
50 days
60 days

Question 4 of 25

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 h
2 h
3 h
5/2 h

Question 5 of 25

5. Question

Represent 26 kg 5 g using concept of decimals.

26.05 kg
26.005 kg
26.5 kg
26.0005 kg

Question 6 of 25

6. Question

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

3%
4%
5%
6%

Question 7 of 25

7. Question

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

9 m
6 m
8 m
5 m

Question 8 of 25

8. Question

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

101
103
99
35

Question 9 of 25

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?

15s
14s
18s
20s

Question 10 of 25

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?

70 days
90 days
60 days
50 days

Question 11 of 25

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?

420
460
500
380

Question 12 of 25

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?

6 times
4 times
7 times
5 times

Question 13 of 25

13. Question

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

1240
3013
2364
7628

Question 14 of 25

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?

12 L
18 L
15 L
10 L

Question 15 of 25

15. Question

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

5%
10%
20%
30%

Question 16 of 25

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?

41 kg
50 kg
65 kg
49 kg

Question 17 of 25

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?

18.2 km/h
19.2 km/h
19.0 km/h
16.2 km/h

Question 18 of 25

18. Question

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

60 m
70 m
80m
90 m

Question 19 of 25

19. Question

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

66
50
32
16

Question 20 of 25

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?

15: 7
180: 56
1: 1
8: 15

Question 21 of 25

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?

3000 L
108 L
300 L
165 L

Question 22 of 25

22. Question

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

₹ 5000
₹ 6125
₹ 2000
₹ 1125

Question 23 of 25

23. Question

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

30º, 60º, 90º
15º, 45º, 120º
60º, 60º, 60º
45º, 45º, 90º

Question 24 of 25

24. Question

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

40, 08
36, 12
6, 42
32, 16

Question 25 of 25

25. Question

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

12 AM
12 PM
9: 15 AM
6 AM

Sainik School – 2019 Math Paper 26- 50