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Mixed Mathematics (Sainik School Entrance Exam)

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Questions

Question 1 Multiple Choice (Single Answer)

A man purchased an old music system for Rs. 6200 and spent Rs. 200 on repairing the music system. He then sold it for Rs. 6850. From the given option, choose the correct option of profit/loss incurred.

  1. Profit is Rs. 450
  2. Loss is Rs. 450
  3. Profit is Rs. 650
  4. Loss is Rs. 650
  5. None of these
Question 2 Multiple Choice (Single Answer)

Pradeep got Rs. 2400 from his mother on his birthday. He bought a shirt for Rs. 820, sweets for Rs. 300, chocolates for Rs. 300 and a cake for Rs. 500. He bought a book from the money left with him. What percentage of the total money did he spend on buying the book?

  1. 10%
  2. 20%
  3. 30%
  4. 15%
  5. None of these
Question 3 Multiple Choice (Single Answer)

Identify the set of composite numbers whose HCF is 1.

  1. (9, 10)
  2. (3, 9)
  3. (5, 2)
  4. (2, 3)
  5. None of these
Question 4 Multiple Choice (Single Answer)

The perimeter of a triangle is 18 cm. If the sides are in the ratio of 3 : 2 : 1, then the length of the greatest side is

  1. 6 cm
  2. 9 m
  3. 9 cm
  4. 27 m
  5. None of these
Question 5 Multiple Choice (Single Answer)

The reciprocal of - 1/2 is

  1. 1/2
  2. 2
  3. -2
  4. -1/2
  5. None of these
Question 6 Multiple Choice (Single Answer)

Two numbers are in the ratio 4 : 5 and the sum of the numbers is 90. Then the absolute value of the difference of the two number is

  1. 20
  2. -10
  3. -20
  4. 10
  5. None of these
Question 7 Multiple Choice (Single Answer)

Which is the third greatest number among the numbers 1.0013, 1.0130, 1.0103, 1.0031 and 1.0010?

  1. 1.0103
  2. 1.0010
  3. 1.0013
  4. 1.0031
  5. 1.0130
Question 8 Multiple Choice (Single Answer)

The simplest ratio of 20 minutes and 1 hour is

  1. 20 : 1
  2. 20 : 60
  3. 1 : 20
  4. 1 : 3
  5. None of these
Question 9 Multiple Choice (Single Answer)

If two adjacent sides of a parallelogram are 10 cm and 20 cm, then the perimeter of the parallelogram will be

  1. 60 mm
  2. 60 cm
  3. 60 m
  4. 60 dm
  5. None of these
Question 10 Multiple Choice (Single Answer)

The perimeter of a square is 24 cm. The area of the square in sq. metres is

  1. 0.0036 sq. cms
  2. 36 sq. cms
  3. 0.0036 sq. metres
  4. 36 sq. metres
  5. None of these
Question 11 Multiple Choice (Single Answer)

Twice the complement of 45 degrees is

  1. 45 degrees
  2. 90 degrees
  3. 105 degrees
  4. 30 degrees
  5. None of these
Question 12 Multiple Choice (Single Answer)

Pradeep bought three dozen eggs at Rs. 24 per dozen and sold them at a profit of 50%. What is the selling price of 3 eggs?

  1. Rs. 3
  2. Rs 9
  3. Rs 2
  4. Rs 6
  5. None of these
Question 13 Multiple Choice (Single Answer)

The angles of triangles are in the ratio 2 : 3 : 4, then the difference between the greatest and smallest angle of the triangle (in degrees) is

  1. 80
  2. 60
  3. 20
  4. 40
  5. None of these
Question 14 Multiple Choice (Single Answer)

A boat can carry 20 children or 10 women. If there are 12 women in the boat, how many children can the boat accommodate?

  1. 22
  2. 8
  3. 24
  4. 16
  5. None of these
Question 15 Multiple Choice (Single Answer)

The average of four numbers is 25. If three numbers are 20, 27 and 28, what is the fourth number?

  1. 50
  2. 25
  3. 75
  4. 24
  5. None of these
Question 16 Multiple Choice (Single Answer)

Ramesh scored an average of 50 runs in 4 innings. In the fifth inning, he got out on zero. What was his average score after his fifth innings?

  1. 35
  2. 30
  3. 40
  4. 45
  5. None of these
Question 17 Multiple Choice (Single Answer)

In a class of 41 students, 1 student was absent. 25% of the remaining students failed to do the homework. How many students did their homework?

  1. 1
  2. 25
  3. 30
  4. 35
  5. None of these
Question 18 Multiple Choice (Single Answer)

Pradeep and Dipali can do a piece of work in 10 days if they work together. Dipali alone can do it in 12 days. In how many days can Pradeep do the same work if he work alone?

  1. 40 days
  2. 35 days
  3. 30 days
  4. 60 days
  5. None of these
Question 19 Multiple Choice (Single Answer)

If 4 kg of sugar costing Rs. 20 per kg and 3 kg of salt costing Rs. 6 per kg are mixed, the average cost of the mixture per kg is

  1. Rs. 13.57
  2. Rs. 7
  3. Rs. 14.25
  4. Rs. 14
  5. None of these
Question 20 Multiple Choice (Single Answer)

What is the difference between the place value and face value of 1 in 412503?

  1. 99999
  2. 9999
  3. 10000
  4. 1000
  5. None of these
Question 21 Multiple Choice (Single Answer)

A man bought a sofa set for Rs. 6400, paid Rs. 400 in cash and decided to pay the rest of the amount in installments. If he paid the rest of the money in 15 installments. What sum of money had he paid in 4 installments?

  1. Rs. 400
  2. Rs. 1600
  3. Rs. 800
  4. Rs. 2000
  5. None of these
Question 22 Multiple Choice (Single Answer)

If 10 men working 4 hours a day can do a piece of work in 6 days, in how many days can 20 men working 3 hours a day finish the same work?

  1. 4
  2. 2.25
  3. 10
  4. 9
  5. None of these
Question 23 Multiple Choice (Single Answer)

Find the value of (x + 2y - 2z)/(x - 2y + 2z), where x = 2, y = 1, z = 1.

  1. 3
  2. 2
  3. - 1
  4. 1
  5. None of these
Question 24 Multiple Choice (Single Answer)

Area of a square is 64 sq. metres, what is the area of the rectangle whose length is equal to the length of the side of the square and the breadth is half the length of the side of the square?

  1. 48 m2
  2. 128 m2
  3. 24 m2
  4. 32
  5. None of these
Question 25 Multiple Choice (Single Answer)

In what time will the interest on Rs. 800 amount to Rs. 400 at 5% p.a.?

  1. 1 year
  2. 1/8 years
  3. 49.68 years
  4. 10 years
  5. None of these
Question 26 Multiple Choice (Single Answer)

Subtract the sum of 7.14 and 6.20 from 19.23. The number obtained after calculation is

  1. 5.880
  2. 5.890
  3. 5.089
  4. 5.809
  5. None of these
Question 27 Multiple Choice (Single Answer)

If x2 + y2 = 10 & xy = 2, then the value of (x + y)2 is

  1. 14
  2. 18
  3. 6
  4. 16
  5. None of these
Question 28 Multiple Choice (Single Answer)

Dipali got 120 marks in an exam and her score is 40% of the maximum marks. What are the maximum marks of the exam?

  1. 30
  2. 300
  3. 36
  4. 360
  5. None of these
Question 29 Multiple Choice (Single Answer)

What is the sum of the largest and the smallest 5 digit number?

  1. 99999
  2. 10099
  3. 109999
  4. 10000
  5. None of these
Question 30 Multiple Choice (Single Answer)

Which of the following algebraic equations is not the same as the equation 210x2 + 21xy + 2z3 + 2xyz?

  1. (2x) (15x) (7) + (3xy) (7xy) + 2z3 + 2 (xyz) (xyz)
  2. (2x) (15x) (7) + 3xy + 18xy + 2z2 z + xyz + xyz
  3. (2x) (15x) (7) + 3xy + 18xy + 2z3 + xyz + xyz
  4. (2x) (15) (7x) + 3xy + 18xy + 2z2 z + xyz + xyz
  5. None of these

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