Sainik School – 2020 Math Paper 1- 25 - VASISTA

Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.

52965
53966
52956
5259

Three numbers are in the ratio of 3: 4: 5 and their LCM is 2400. Their HCF is

120
60
80
40

Leela reads 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less and by how much?

Leela, 15 pages
Lalita, 15 pages
Leela, 20 pages
Lalitha, 20 pages

$\left ( \frac{\sqrt{625}}{11}\times \frac{14}{\sqrt{25}}\times \frac{11}{\sqrt{196}} \right )$ is equal to

5
6
8
11

An aero plane covers a certain distance at a speed of 240 km/h in 5h. To cover the same distance in 1 ${2\over3}$ h, it must travel at a speed of

300 km/h
360 km/h
600 km/h
720 km/h

A can lay railway track between tow given stations in 16 days and B can do the same job in 12 days. With the help of C they did the job in 4 days only. Then, C alone can do the job in how many days?

9 ${1\over5}$ days
9 ${2\over5}$ days
9 ${3\over5}$ days
9 ${4\over5}$ days

In the figure, find the ratio of number of triangles to the number of circles inside the rectangle and number of squares all the figures inside the rectangle

${3\over2}$, ${2\over3}$
${3\over2}$, ${2\over3}$
${2\over7}$, ${2\over7}$
${2\over7}$, ${2\over7}$
3, 2

Ram, Rahul and Rohit shared a bag of marbles. The bag contained 272 marbles. How many marbles were left over after the friends shared them equally?

90
91
6
2

Cost of 4 dozens of bananas is Rs.60. How many bananas can be purchased of Rs.12.50?

10
15
12
18

A average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weight of all the boys in the class

47.55 kg
48 kg
48.55 kg
49.25 kg

A sum fetched a total simple interest of Rs.4016.25 at the rate of 9% in 5 yr. What is the sum?

Rs.4462
Rs.8032
Rs.8900
Rs.8925

The product of two numbers is 1296. If one number is 16 times the other, find the smaller number.

12
16
4
9

Subtract the different of 8.382 and 7.942 from the sum of 4.675 and 1.327

6.562
4.348
3.982
4.384

Find the perimeter of figure.

51 cm
52 cm
53 cm
54 cm

How much time will take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% per annum of simple interest?

3 yr
4 yr
6 yr
5 yr

The area of a circle is 616 cm². Find its diameter. (π =${22\over7}$)

28 cm
14 cm
56 cm
32 cm

A rectangular path of 60 m length and 3 width is covered by square titles of side 25 cm. Find the number of titles used to make this path?

2250
1140
2880
1200

What is value of A in 475 ÷ 64% of 950 = 900 + A?

183
233
1983
None of these

What will be HCF of 216, 288 and 720?

12
24
84
72

Solve {160 × 106 – 94 × 94} =?

2400
2000
1904
1906

If ${2\over3}$, of 70% of 600, when subtracted from a number is 320, what is the number?

300
600
720
500

A mobile phone is sold for Rs.1650 after purchasing it for Rs.1500. What is the percentage of profit?

10
15
20
16

Solve $\frac{\frac{7}{3}\times \frac{2}{3}\div \frac{3}{5}}{2+1\frac{2}{3}}$

${99\over76}$
${70\over99}$
${33\over30}$
${70\over27}$

$\sqrt{1089\div 121}$ Value is

3
13
33
53

A mobile phone is sold for Rs. 1650 after purchasing it for Rs. 1500. What is the percentage of profit?

10
15
20
16

Sainik School – 2020 Math Paper 1- 25

Sainik School – 2020 Math Paper 1- 25

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1. Question

Find the difference between the greatest and the least number that can be written using the digits 6, 2, 7, 4, 3 each only once.

2. Question

Three numbers are in the ratio of 3: 4: 5 and their LCM is 2400. Their HCF is

3. Question

Leela reads 25 pages of a book containing 100 pages. Lalita read 2/5 of the same book. Who read less and by how much?

4. Question

5. Question

An aero plane covers a certain distance at a speed of 240 km/h in 5h. To cover the same distance in 1 \({2\over3}\) h, it must travel at a speed of

6. Question

A can lay railway track between tow given stations in 16 days and B can do the same job in 12 days. With the help of C they did the job in 4 days only. Then, C alone can do the job in how many days?

7. Question

8. Question

Ram, Rahul and Rohit shared a bag of marbles. The bag contained 272 marbles. How many marbles were left over after the friends shared them equally?

9. Question

Cost of 4 dozens of bananas is Rs.60. How many bananas can be purchased of Rs.12.50?

10. Question

A average weight of 16 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg. Find the average weight of all the boys in the class

11. Question

A sum fetched a total simple interest of Rs.4016.25 at the rate of 9% in 5 yr. What is the sum?

12. Question

The product of two numbers is 1296. If one number is 16 times the other, find the smaller number.

13. Question

Subtract the different of 8.382 and 7.942 from the sum of 4.675 and 1.327

14. Question

Find the perimeter of figure.

15. Question

How much time will take for an amount of Rs.450 to yield Rs.81 as interest at 4.5% per annum of simple interest?

16. Question

The area of a circle is 616 cm2 . Find its diameter. (π =\({22\over7}\))

17. Question

A rectangular path of 60 m length and 3 width is covered by square titles of side 25 cm. Find the number of titles used to make this path?

18. Question

What is value of A in 475 ÷ 64% of 950 = 900 + A?

19. Question

What will be HCF of 216, 288 and 720?

20. Question

Solve {160 × 106 – 94 × 94} =?

21. Question

If \({2\over3}\), of 70% of 600, when subtracted from a number is 320, what is the number?

22. Question

A mobile phone is sold for Rs.1650 after purchasing it for Rs.1500. What is the percentage of profit?

23. Question

Solve

24. Question

Value is

25. Question

A mobile phone is sold for Rs. 1650 after purchasing it for Rs. 1500. What is the percentage of profit?

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The area of a circle is 616 cm². Find its diameter. (π =\({22\over7}\))

Solve $\frac{\frac{7}{3}\times \frac{2}{3}\div \frac{3}{5}}{2+1\frac{2}{3}}$

$\sqrt{1089\div 121}$ Value is