Mathematics (Sainik School Entrance)
Check your basic proficiency in mathematics.
Questions
Solve for y if 8 (y + 2) = 4 (y + 4).
- - 2
- 1/2
- 2
- - 1/2
- None of these
Which of the following expressions is/are monomial(s)?
- z
- z + x
- x + z + k
- y
- Both (1) and (4)
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
- 12
- 28/3
- - 12
- None of these
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
- 4/3
- 8/3
- - 4/3
- None of these
Solve for k if 3(2k + 4) = 6k - (2 - 2k).
- - 1
- 7
- 1
- - 7
- None of these
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?
- Rs. 25
- Rs. 75
- Rs. 50
- Rs. 100
- None of these
Which of the following is/are prime number(s)?
- 701
- 733
- 743
- 757
- All of the above
Which of the following is a perfect square?
- 64003
- 64009
- 64002
- 64007
- None of these
If 3z - 2k = 8, 2k - m = 5 and 3 m - 6 = 9, then the value of 2z + k + m will be
- 22
- 17
- 31/3
- 16
- None of these
The value of the expression [2.5 + 3.2 - 1.4 - {0.2 - (1.3 + 2.5 - 1.2)}] will be
- 1.9
- 6.7
- 6
- 7.1
- None of these
Which of the following numbers is not divisible by 3?
- 32541
- 31563
- 38771
- 38772
- None of these
The simplest ratio of 2 minute and 2 hours will be
- 2 : 2
- 1 : 60
- 2 : 120
- 60 : 1
- None of these
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
- 6.6013
- 8.6903
- - 5.6013
- None of these
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?
- Rs. 265.14
- Rs. 265
- Rs. 264.64
- Rs. 264.14
- None of these
What is the value of the expression [2.3 + 1.2 - { 4.2 - ( 1.36 + 2.21 )}]?
- 4.13
- 2.87
- - 4.13
- - 2.87
- None of these