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Mathematics (Sainik School)

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If K is the number, which is obtained when the sum of the numbers 12.23541 and 1.25462 is subtracted from the sum of the numbers - 3.26541 and - 1.23546, then the value of K will be

  1. 8.98916

  2. 17.9909

  3. 16.9909

  4. 18.9909

  5. None of these


Correct Option: B
Explanation:

According to the question: (12.23541 + 1.25462) - (- 3.26541 - 1.23546) or 13.49003 - (- 4.50087)

Which of the following numbers is not divisible by 4?

  1. 231404

  2. 231436

  3. 231444

  4. 231414

  5. None of these


Correct Option: D
Explanation:

 231414 is not divisible by 4.

What must be subtracted from 5.23641 to get 8.21564?

    • 1.97923
  1. 2.97923

  2. 1.97923

    • 2.97923
  3. None of these


Correct Option: D
Explanation:

Let x is to be subtracted, then 5.23641 - x = 8.21564 or x = - 2.97923

Which of the following numbers is not divisible by 8?

  1. 123128

  2. 123144

  3. 123160

  4. 123166

  5. None of these


Correct Option: D
Explanation:

A number is divisible by 8 if the last 3 digits of the number are evenly divisible by 8.

Pradeep is 2 years older than Dipali. Dipali's age is two times the age of Rakesh. If the present age of Rakesh is 10 years, then the present age of Pradeep is

  1. 21 years

  2. 20 years

  3. 22 years

  4. 18 years

  5. None of these


Correct Option: C
Explanation:

Dipali's present age = (2 X 10) years = 20 years. Therefore, Pradeep's present age = (20 + 2) years.

What number should be added to 1.02064 to get 3.52146?

    • 1.50082
  1. 2.50082

  2. 1.50082

    • 2.50082
  3. None of these


Correct Option: B
Explanation:

1.02064 + X = 3.52146 or X = 3.52146 - 1.02064 or X = 2.50082

A number is multiplied by 2/3. What is the percentage increment or decrement in the number?

  1. 33.33% increment

  2. 50% decrement

  3. 33.33% decrement

  4. 50% increment

  5. None of these


Correct Option: C
Explanation:

Let the initial number be x. Percentage decrement = (x/3x) X 100 = (100/3)% = 33.33%

A man bought a radio set for Rs. 620, spent Rs. 30 on its repair and sold it for Rs. 700. What is the overall gain or loss percent for the man?

  1. 11.42%

  2. 7.14%

  3. 12.90%

  4. 7.69%

  5. None of these


Correct Option: D
Explanation:

CP for man = Rs. ( 620 + 30 ) = Rs. 650 SP for man = Rs. 700 Gain = Rs. 50 Gain% = (50 X 100)/650 = 5000/650 = 7.69%

Pradeep works in an office. His monthly salary is Rs. 3000. He saves 25% of his monthly salary. What is the ratio of his savings to his income?

  1. 4 : 1

  2. 1 : 4

  3. 3 : 4

  4. 4 : 3

  5. None of these


Correct Option: B
Explanation:

Pradeep's monthly salary = Rs. 3000 Savings = Rs. 750 Ratio = 750 : 3000 or 1 : 4

There are 60 students in a class, out of which 30% are girls and remaining are boys. What is the ratio of the number of girls to that of boys in the class?

  1. 3 : 10

  2. 3 : 7

  3. 7 : 10

  4. 7 : 3

  5. None of these


Correct Option: B
Explanation:

Required ratio = 18  : 42 or 3 : 7

The simplest ratio of 8 paise to Re. 1 will be

  1. 8 : 1

  2. 2 : 25

  3. 1 : 8

  4. 8 : 100

  5. None of these


Correct Option: B
Explanation:

Required ratio =  8 : 100 or 2 : 25

Which of the following are in proportion?

  1. 2, 6, 4, 8

  2. 2, 6, 4, 10

  3. 2, 6, 4, 12

  4. 2, 6, 4, 14

  5. None of these


Correct Option: C
Explanation:

2, 6, 4, 12 are in proportion.

If the first three terms of a proportion are 5, 9 and 10, then the fourth term of the proportion will be

  1. 18

  2. 8

  3. 12

  4. 16

  5. None of these


Correct Option: A
Explanation:

5, 9, 10, 18 are in proportion.

If the cost of 100 g tea is Rs. 25, then the cost of 1.5 kg tea will be

  1. Rs. 300

  2. Rs. 400

  3. Rs. 500

  4. Rs. 375

  5. None of these


Correct Option: D
Explanation:

Cost of 100 g tea = Rs. 25 Cost of 1 g tea = Rs. (25/100) Cost of 1500 g tea = Rs. 1500/4 = Rs. 375

In a class, the ratio of numbers of girls to boys is 2 : 5. If there are 20 girls in the class, then the total number of students in the class is

  1. 20

  2. 70

  3. 50

  4. 30

  5. None of these


Correct Option: B
Explanation:

Girls/Boys = 2/5 Boys = (20 x 5)/2 = 50 Total number of students = 50 + 20 = 70

If the numbers 5, x, 4 and 6 are in proportion, then value of y in the equation 2y + x = 7 will be

  1. 5/2

    • 2/5
    • 5/2
  2. 2/5

  3. None of these


Correct Option: C
Explanation:

x = (6X8)/4 = 12 Now, 2y + 12 = 7 Or y = - 5/2

The value of y in 3(y + z) = 2y(k + s), where k + s = 2 z and z = 1, is

    • 3
  1. 4

  2. 1

  3. 3

  4. None of these


Correct Option: D
Explanation:

z = 1, k + s = 2, 3(y + 1) = 2y X 2, 3y + 3 = 4y, y = 3

The expression which represents "k multiplied to the sum of L and M" will be

  1. k x L + M

  2. k x M + L

  3. k x (L + M)

  4. (k + L) x M

  5. None of these


Correct Option: C
Explanation:

This expression represents k multiplied to the sum of L and M.  

If 365m2 is divisible by 3, then what is the value of m?

  1. 4

  2. 1

  3. 2

  4. 6

  5. None of these


Correct Option: C
Explanation:

 m = 2 is one of the possible values of m.

The cost of tea is Rs. 26 per 100 g and the cost of potato is Rs. 20 per 500 g. What is the ratio of the price of tea to that of potato?

  1. 13 : 10

  2. 2 : 13

  3. 13 : 2

  4. 10 : 13

  5. None of these


Correct Option: C
Explanation:

Required ratio = 20 : 26 or 10 : 13

In a test, Dipali got 15 marks out of 20, Pradeep got 45 marks out of 50, Pankaj got 8 marks out of 10, Praveen got 20 marks out of 24 and Shrawan got 2 marks out of 5. Who scored the highest?

  1. Dipali

  2. Pradeep

  3. Pankaj

  4. Praveen

  5. Shrawan


Correct Option: B
Explanation:

Pradeep scored the best percentage.

Rs. 4900 are to be distributed among A, B and C in the ratio 1 : 2 : 4. If the amount received by A is Rs. K, amount received by B is Rs. L and amount received by C is Rs. Z, then the value of (2000 K - LZ) will be

  1. 2520000

  2. 252000

    • 252000
    • 2520000
  3. None of these


Correct Option: D
Explanation:

2000K - LZ = 2000 x 700 - 1400 x 2800 = 1400000 - 3920000 = - 2520000

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