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Sainik School Entrance Test - Mathematics

Mathematics practice questions for Sainik School entrance examination covering number theory, geometry, and algebra.

15 Questions Published
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Questions

Question 1 Multiple Choice (Single Answer)

The sum of the squares of the prime numbers between 20 and 30 is

  1. 1570
  2. 1282
  3. 1370
  4. 1258
  5. None of these
Question 2 Multiple Choice (Single Answer)

Which of the following is a perfect square?

  1. 12548
  2. 12543
  3. 15427
  4. 14641
  5. 25412
Question 3 Multiple Choice (Single Answer)

If the angles of a quadrilateral are in the ratio 5 : 2 : 4 : 1, then the greatest angle (in degrees) of the quadrilateral is

  1. 120o
  2. 30o
  3. 60o
  4. 150o
  5. None of these
Question 4 Multiple Choice (Single Answer)

What is cost of painting 4 walls of the room at the rate of Rs. 54 per sq. m, if the the dimension of the room is 10 m x 12 m x 14 m?

  1. Rs. 28080
  2. Rs. 30800
  3. Rs. 33264
  4. Rs. 31104
  5. None of these
Question 5 Multiple Choice (Single Answer)

The cost of painting a cube of edge length 5 m at the rate of Rs. 20 per sq. m is

  1. Rs. 300
  2. Rs. 1200
  3. Rs. 3000
  4. Rs. 30000
  5. None of these
Question 6 Multiple Choice (Single Answer)

Let K be the solution of the linear equation 3x - 21 = 7x - 29 and M be the solution of the linear equation 2y + 6 = y + 12. Now, if 2z + M = K, then the value of z is

  1. -2
  2. -4
  3. 4
  4. -1
  5. None of these
Question 7 Multiple Choice (Single Answer)

What is the total cost of painting if the faces containing only length and breadth are to be painted with yellow colour?

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 800
  2. Rs. 80
  3. Rs. 1600
  4. Rs. 960
  5. None of these
Question 8 Multiple Choice (Single Answer)

What is the total cost of painting if only the faces containing length and height are to be painted with red colour?

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 100
  2. Rs. 200
  3. Rs. 160
  4. Rs. 240
  5. None of these
Question 9 Multiple Choice (Single Answer)

The cost of painting the cuboid with green colour is

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 2320
  2. Rs. 1160
  3. Rs. 1392
  4. Rs. 580
  5. None of these
Question 10 Multiple Choice (Single Answer)

The digit which can appear at the units' place of a perfect square is

  1. 2
  2. 9
  3. 3
  4. 7
  5. 8
Question 11 Multiple Choice (Single Answer)

Which of the following is a pair of co-prime numbers?

  1. 11, 13
  2. 14, 15
  3. 23, 29
  4. All of the above
  5. 51, 53
Question 12 Multiple Choice (Single Answer)

Solve for k if 4k + 3 = 6k - 5.

  1. 1/4
  2. 4
  3. -4
  4. 1
  5. None of these
Question 13 Multiple Choice (Single Answer)

What should be multiplied to - 7/4 to get 3/8?

  1. -14/3
  2. 3/14
  3. -3/14
  4. 14/3
  5. None of these
Question 14 Multiple Choice (Single Answer)

What is the cost of painting the cuboid with Red colour?

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 1392
  2. Rs. 1160
  3. Rs. 2320
  4. Rs. 580
  5. None of these
Question 15 Multiple Choice (Single Answer)

What is the total cost of painting if 4 such cuboids are to be painted? Two cuboids with red colour and other two cuboids with green and yellow, respectively.

The length, breadth and height of a cuboid are 10 cm, 8 cm and 2 cm, respectively. All the faces of the cuboid are to be painted. The cost of painting with red colour is Rs. 5 per sq. cm. with green colour is Rs. 6 per sq. cm and with yellow is Rs. 10 per sq. cm. Now, answer the questions.

  1. Rs. 6032
  2. Rs. 6496
  3. Rs. 6022
  4. Rs. 3016
  5. None of these
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