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Mathematics (Mixed Test)

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If the solution of the equation 3k + 6 = 4k - 9 is M and the solution of the equation 2m + 30 = - 4m + 42 is L, then the value of ( LM/2) is

  1. 15

  2. 30

  3. 3

    • 30
  4. None of these


Correct Option: A
Explanation:

LM/2 = 15

The value of 3320 x 1.2, when rounded to the nearest tens, is

  1. 3990

  2. 3985

  3. 3980

  4. 4000

  5. None of these


Correct Option: C
Explanation:

3320 x 1.2 = 3984 When rounded to nearest tens, it becomes 3980.

___ is/are not perfect square(s).

  1. 2588

  2. 2537

  3. 2522

  4. 2523

  5. All of the above


Correct Option: E
Explanation:

Correct option 

If the solution of the equation 3z + ( 2z + 4 ) = - 11 is 3k, then the value of - (k - 4) will be

    • 5
    • 1
    • 3
  1. 5

  2. None of these


Correct Option: D
Explanation:
  • ( k - 4 ) = - (- 1 - 4 ) = 5

Consider the number 52648971. The sum of place value of 4 and face value of 9 will be

  1. 40009

  2. 909

  3. 40900

  4. 10100

  5. None of these


Correct Option: A
Explanation:

Place value of 4 = 40000 Face value of 9 = 9 Sum = 40009

Consider the numbers 235647, 256487, 256478, 256479, 235476. The sum of the second and fourth number when arranged in ascending order is

  1. 491955

  2. 492134

  3. 492126

  4. 49212

  5. None of these


Correct Option: C
Explanation:

Second number = 235647 Fourth number = 256479 Sum = 492126

The number 365mk is divisible by 3. Which of the following is not a possible value of (k + m)?

  1. 4

  2. 1

  3. 7

  4. 0

  5. None of these


Correct Option: D
Explanation:

 (k + m) cannot be 0.

The value of 493 x 27, when rounded to the nearest tens, is

  1. 13310

  2. 13315

  3. 13320

  4. 13300

  5. None of these


Correct Option: A
Explanation:

493 x 27 = 13311 When rounded to nearest tens, it becomes 13310.

Dipali earns Rs. 3600 in 18 days. How much will she earn in a leap year?

  1. Rs. 73000

  2. Rs. 73200

  3. Rs. 7300

  4. Rs. 7320

  5. None of these


Correct Option: B
Explanation:

 Dipali will earn Rs. 73200 in a leap year.

Which of the following algebraic expressions is/are monomial?

  1. k

  2. k + m

  3. 2k + m

  4. 3k

  5. Both 1 and 4


Correct Option: D
Explanation:

Correct option

Read the following statements and choose the best option.

S1: Two triangles can be made using 4 line segments. S2: A triangle is a closed figure bounded by three line segments.

  1. S1 is false and S2 is true.

  2. Both S1 and S2 are true.

  3. S1 is true and S2 is false.

  4. Both S1 and S2 are false.

  5. None of these


Correct Option: A
Explanation:

Only one triangle can be formed using 4 line segments.

If 3k - 21 = 6k - 42, then the value of z in 2z + 2 = k will be

    • 5
    • 9
  1. 5

  2. 2.5

  3. None of these


Correct Option: D
Explanation:

3k - 21 = 6k - 42 Or 3k = 21 Or k = 7 Now, 2z + 2 = k Or 2z + 2 = 7 Or 2z = 5 Or z = 2.5

If K = 301 x 22, then the value of K, when rounded to the nearest tens, is

  1. 6620

  2. 6622

  3. 6625

  4. 6630

  5. None of these


Correct Option: A
Explanation:

K = 301 x 22 = 6622

Which of the following numbers is/are prime?

  1. 761

  2. 769

  3. 773

  4. 797

  5. All of the above


Correct Option: E
Explanation:

All of the above numbers have only two factors, therefore all the above numbers are prime numbers.

A person travelling at a constant speed of 18 km/h needs to pass a 30 m long tunnel. The time that he will take to pass the tunnel is 2k seconds. The value of k is

  1. 6

  2. 1

  3. 3

  4. 2

  5. None of these


Correct Option: C
Explanation:

k = 3

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