Sainik School – 2019 Math Paper 1- 25 - VASISTA

Question 1 of 25

1. Question

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer?

87555
65124
72360
65000

Question 2 of 25

2. Question

Simplify 1 $\left \{ \frac{1}{2}+\frac{1}{3}+\frac{1}{6}\div \left ( \frac{3}{4}-\frac{1}{3} \right ) \right \}$ .

${30\over37}$
${37\over30}$
${15\over37}$
${15\over30}$

Question 3 of 25

3. Question

Find the perimeter of the following figure.

15 cm
15 cm${^2}$
16 cm
25 cm${^2}$

Question 4 of 25

4. Question

A floor is 5 m long and 4 m wide. A square carpet of side 3 m is laid on the floor. Find the area of the floor that is not carpeted.

21 m${^2}$
29 m${^2}$
11 m${^2}$
21 m${^2}$

Question 5 of 25

5. Question

Find out the smallest number which is divisible by 6, 12, 18.

360
180
120
60

Question 6 of 25

6. Question

Which of the following measures of angles given can be those of a isosceles triangle?

90º, 45º
60º, 30º
120º, 40º
90º, 50º

Question 7 of 25

7. Question

The length of a rectangle is 5 cm more than its breadth. If the perimeter of the rectangle is 50 cm, then what is the area?

150 cm${^2}$
250 cm${^2}$
900 c${^2}$
800 cm${^2}$

Question 8 of 25

8. Question

12 persons can finish a piece of work in l5 days. In how many days will the same work be completed by 20 persons?

15 days
9 days
30 days
20 days

Question 9 of 25

9. Question

The LCM of two prime numbers is

Difference
Product
Sum
None of these

Question 10 of 25

10. Question

In a school of 1000 students, 330 come by bus, 400 come walking and the remaining are dropped by parents. What is the percentage of students that do not ride the bus to school?

67%
27%
50%
33%

Question 11 of 25

11. Question

A train from station A to station B covers a distance of 616km at a uniform speed of 112km/hr. It halts at station B for 1 h before starting back. How much time will it take to complete the journey and reach back to station A (i.e. from, A to B and back)?

11 h
12 h 45 min
12 h
5 h 30 min

Question 12 of 25

12. Question

A table was sold at 16% loss for ₹3360. Find the cost price of the table.

₹ 4000
₹ 3392
₹ 3600
₹ 4296

Question 13 of 25

13. Question

There are 17 rooms in a school, every room has two fans and four LED bulbs. How many switches are required for the school if every fan requires a switch and one switch is required for every two bulbs?

34
68
102
17

Question 14 of 25

14. Question

The product of two decimal numbers is 12.194. If one of them is 4.69, what is the other number?

7.6
2.6
9.8
4.8

Question 15 of 25

15. Question

Rahul purchases a chair for ₹600 and uses ₹200 for repairs. If he sells it for ₹1000, then he has no profit no loss

25% loss
25 % profit
26% loss
cannot be calculated

Question 16 of 25

16. Question

The temperature dropped 15ºC in the last 30 days. If the rate of temperature drop remains the same, how many degrees will the temperature drop in the next ten days?

10ºC
5ºC
20ºC
15ºC

Question 17 of 25

17. Question

From a basket of mangoes when counted in twos there was one extra, counted in threes there were two extra, counted in fours there were three extra, counted in fives there were four extra, counted in sixes there were five extra. But counted in sevens there were no extra. At least how many mangoes were there in the basket?

119
110
111
126

Question 18 of 25

18. Question

Which of the following two-digit number when added to 27 gets reversed?

27
24
45
70

Question 19 of 25

19. Question

The ratio of income to expenditure of Radha is 7: 5. If she saves ₹2000 a month, what is her annual income?

₹ 144000
₹ 60000
₹ 95000
₹ 84000

Question 20 of 25

20. Question

The ratio of the length to breadth of a rectangular lawn is 3:5. It costs ₹3200 to fence. If at the rate of ₹2 a meter. What would be the cost of developing the lawn at the rate of ₹10 per square meter?

₹ 1800000
₹ 1500000
₹ 1900000
₹ 2100000

Question 21 of 25

21. Question

A, B and C divide an amount amongst themselves in the ratio of 4 :7: 9 respectively. If B’s share in the amount is ₹2989 what is the total amount?

₹ 9820
₹ 8540
₹ 2720
₹ 8640

Question 22 of 25

22. Question

The average age of a class of 40 students is 18 yr. When the teachers age is also included to calculate the average age becomes l9 yr. What is the teacher’s age?

59 yr
69 yr
49 yr
39 yr

Question 23 of 25

23. Question

What is the greatest number which when divides 3026 and 5053 leaves remainders 11 and 13 respectively?

15
30
45
60

Question 24 of 25

24. Question

Ravi purchased a chair at ₹500 and sold.it at ₹550. What was his gain or loss per cent?

10%
20%
30%
40%

Question 25 of 25

25. Question

A certain distance is being covered in 28 h by walking with a speed of 5 km/h. If the speed is increased by 2km/h, then in how much time the same distance will be covered?

30 h
15 h
20 h
25 h

Sainik School – 2019 Math Paper 1- 25