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Mathematics (Sainik School)

Description: Test your basic level of preparation in Maths
Number of Questions: 15
Created by:
Tags: Pradeep Kumar Tiwary Expression with Variables Using Mathematical Operations Solution of an Equation Prime Numbers and Composite Numbers Rounding-off Rule Playing with Numbers
Attempted 0/15 Correct 0 Score 0

Directions: Consider the following algebraic expression and answer the question.

5x2y2z2 + 2xyz + x2y2 + 3xy2 + 4xy2z + 23

The given expression is

  1. monomial

  2. binomial

  3. trinomial

  4. polynomial

  5. None of these


Correct Option: D
Explanation:

Since the given expression contains several terms, therefore it is polynomial.

If K = 32 x 23 x 12, find the value of K when rounded to nearest tens.

  1. 8832

  2. 8835

  3. 8830

  4. 8840

  5. None of these


Correct Option: C
Explanation:

K = 32 x 23 x 12 = 8832

Directions: Consider the following algebraic expression and answer the question.

5x2y2z2 + 2xyz + x2y2 + 3xy2 + 4xy2z + 23

The coefficient of xy2 is

  1. 5

  2. 2

  3. 1

  4. 3

  5. 23


Correct Option: D
Explanation:

It is the coefficient of xy2.

If Z = 312 x 27 x 21, the value of Z when rounded to nearest thousand is

  1. 176904

  2. 176900

  3. 176910

  4. 177000

  5. None of these


Correct Option: D
Explanation:

Z = 312 x 27 x 21 = 176904

If M = 102 x 64, find the value of M when rounded to nearest hundred.

  1. 6528

  2. 6550

  3. 6500

  4. 6600

  5. None of these


Correct Option: C
Explanation:

M = 102 x 64 = 6528

Directions: Consider the following algebraic expression and answer the question.

5x2y2z2 + 2xyz + x2y2 + 3xy2 + 4xy2z + 23

If the coefficient of xyz is K, the value of z in the equation 3z + 4 = K will be

    • 1
    • 1/3
  1. 1

  2. 1/3

  3. None of these


Correct Option: A
Explanation:

3z + 4 = 1 3z = 1 - 4 3z = - 3 z = - 1

If 2653 = 2 K + 6 L + 5 M + N, the value of K + L + 2 M + 3 N is

  1. 1129

  2. 1123

  3. 1119

  4. 1113

  5. None of these


Correct Option: A
Explanation:

K + L + 2 M + 3 N = 1000 + 100 + 2 x 10 + 3 x 3 = 1129

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

  1. 641

  2. 643

  3. 673

  4. 677

  5. All of the above


Correct Option: E
Explanation:

It is the correct option.

Which of the following is a prime number?

  1. 627

  2. 663

  3. 657

  4. 661

  5. None of these


Correct Option: D
Explanation:

661 = 1 x 661

Directions: Consider the following algebraic expression and answer the question.

5x2y2z2 + 2xyz + x2y2 + 3xy2 + 4xy2z + 23

How many of the above algebraic terms have their coefficients as prime numbers?

  1. 1

  2. 2

  3. 3

  4. 4

  5. None of these


Correct Option: C
Explanation:

Coefficients of x2y2z2, xyz and xy2 are prime numbers.

Which of the following is a perfect square?

  1. 233713

  2. 233712

  3. 233717

  4. 233718

  5. None of these


Correct Option: E
Explanation:

Correct option

What is the place value of 2 in 652341?

  1. 2000

  2. 2341

  3. 1000

  4. 2

  5. None of these


Correct Option: A
Explanation:

Correct

If 4z + 8 = 8z - 12, the value of 2z + 3 is

  1. 5

  2. 13

  3. 3

  4. 8

  5. None of these


Correct Option: B
Explanation:

4z + 8 = 8z - 12 4z = 20 z = 5

Consider the equation:

2 (k + m) = z + 2

If m = 1 and z = 2, the value of 2k + 4 is

  1. 8

  2. 6

  3. 2

  4. 4

  5. None of these


Correct Option: B
Explanation:

2k + 4 = 2 x 2 + 4 = 8

The digit which cannot appear at the units place of a perfect square is

  1. 2

  2. 4

  3. 5

  4. 6

  5. 9


Correct Option: A
Explanation:

2 cannot appear at units place of a perfect square.

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