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Mathematics (Sainik School Entrance)

Description: Check your basic proficiency in mathematics.
Number of Questions: 15
Created by:
Tags: Pradeep Kumar Tiwary Solution of an Equation Algebra Formation of an Equation Area and Its Meaning Knowing Numbers Prime Numbers and Composite Numbers
Attempted 0/15 Correct 0 Score 0

Solve for y if 8 (y + 2) = 4 (y + 4).

    • 2
  1. 1/2

  2. 2

    • 1/2
  3. None of these


Correct Option: C
Explanation:

8 (y +1) = 4 (y + 4 ) or 8y + 8 = 4y + 16 or 4y = 8 or  y = 2

Which of the following expressions is/are monomial(s)?

  1. z

  2. z + x

  3. x + z + k

  4. y

  5. Both (1) and (4)


Correct Option: E
Explanation:

Options 1 and 4 are monomials.

Consider the equation: 3s + 2q = - k + 2m. If 4m - 2k = 8 and 2q = 2(8m - 4k), then the value of s will be

    • 28/3
  1. 12

  2. 28/3

    • 12
  3. None of these


Correct Option: A
Explanation:

3s = - 28 or s = - 28/3

What is the value of k in equation 3k + 2 = z + m if 2(z + 2) = z and 3m + 6 = 2(m + 2)?

    • 8/3
  1. 4/3

  2. 8/3

    • 4/3
  3. None of these


Correct Option: A
Explanation:

2(z + 2) = z or 2z + 4 = z or, z = - 4 3k  + 2 = - 4 + ( -2 ) or 3k + 2 = - 6 or 3k = - 8 or k = - 8/3

Solve for k if 3(2k + 4) = 6k - (2 - 2k).

    • 1
  1. 7

  2. 1

    • 7
  3. None of these


Correct Option: B
Explanation:

3(2k + 4) = 6k - (2 - 2k) or 6k + 12 = 6k - 2 + 2k or 12 = - 2 + 2k or 14 = 2k or 7 = k

A cube has edge length of 2 m. What is the cost of painting 4 faces of the cube at the rate of Rs. 6.25/sq.m?

  1. Rs. 25

  2. Rs. 75

  3. Rs. 50

  4. Rs. 100

  5. None of these


Correct Option: D
Explanation:

Length of edge of the cube = 2 m Surface area of 1 face of the cube = 2 m X 2 m = 4 sq.m Cost of painting 1 face = Rs. (6.25 X 4) = Rs. 25 Therefore, cost of painting 4 faces = Rs. (25 X 4) = Rs. 100

Which of the following is/are prime number(s)?

  1. 701

  2. 733

  3. 743

  4. 757

  5. All of the above


Correct Option: E
Explanation:

This option is correct.

Which of the following is a perfect square?

  1. 64003

  2. 64009

  3. 64002

  4. 64007

  5. None of these


Correct Option: B
Explanation:

 64009 is a perfect square.

If 3z - 2k = 8, 2k - m = 5 and 3 m - 6 = 9, then the value of 2z + k + m will be

  1. 22

  2. 17

  3. 31/3

  4. 16

  5. None of these


Correct Option: A
Explanation:

2z + k + m = 2 X 6 + 5 + 5 = 12 + 10 = 22

The value of the expression [2.5 + 3.2 - 1.4 - {0.2 - (1.3 + 2.5 - 1.2)}] will be

  1. 1.9

  2. 6.7

  3. 6

  4. 7.1

  5. None of these


Correct Option: B
Explanation:

[2.5 + 3.2 - 1.4 - { 0.2 - (1.3 + 2.5 - 1.2)}] or [4.3 - {0.2 - 2.6}] or [4.3 + 2.4 ] or 6.7

Which of the following numbers is not divisible by 3?

  1. 32541

  2. 31563

  3. 38771

  4. 38772

  5. None of these


Correct Option: C
Explanation:

A number is divisible by 3 if the sum of the digits of the number is divisible by 3. 

The simplest ratio of 2 minute and 2 hours will be

  1. 2 : 2

  2. 1 : 60

  3. 2 : 120

  4. 60 : 1

  5. None of these


Correct Option: B
Explanation:

2 hours = 120 minutes Therefore, 2 : 120 = 1 : 60

What is the value obtained when the sum of 2.3244 and 5.3214 is subtracted from the sum of 1.0231 and 0.0214?

    • 6.6013
  1. 6.6013

  2. 8.6903

    • 5.6013
  3. None of these


Correct Option: A
Explanation:

Required answer = (1.0231 + 0.0214 ) - (2.3244 + 5.3214) = 1.0445 - 7.6458 = - 6.6013

Consider a cube of edge length 3 m. The cost of painting it red is Rs. 4.24 per sq.m and cost of painting it blue is Rs. 6.25 per sq.m. What is the total cost of painting the cube if 4 of its faces are to be painted red and remaining blue?

  1. Rs. 265.14

  2. Rs. 265

  3. Rs. 264.64

  4. Rs. 264.14

  5. None of these


Correct Option: A
Explanation:

Surface area of 1 face = 9 sq.m Surface area of 4 faces = 36 sq.m Therefore, cost of painting it red = Rs. (36 X 4.24) = Rs. 152.64 Also, total surface area of 2 faces = 18 sq.m Therefore, cost of painting 2 faces with blue colour = Rs. (18 X 6.25) = Rs. 112.5 Therefore, total cost = Rs. 265.14

What is the value of the expression [2.3 + 1.2 - { 4.2 - ( 1.36 + 2.21 )}]?

  1. 4.13

  2. 2.87

    • 4.13
    • 2.87
  3. None of these


Correct Option: B
Explanation:

[2.3 + 1.2 - {4.2 - (1.36 + 2.21)}] or [3.5 - {4.2 - (3.57)}] or [3.5 - {4.2 - 3.57 }] or [3.5 - 0.63] or 2.87

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