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Mixed Mathematics Test

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Consider the algebraic expression 5 x2y2z2 + 10 x2y + 2xy + xy2 + 2. The coefficients of xy, x2y, x2y2z2 and xy2 respectively are

  1. 2, 10, 5, 1

  2. 1, 5, 10, 2

  3. 2, 10, 1, 5

  4. 2, 5, 10, 1

  5. None of the above


Correct Option: A
Explanation:

This option represents the coefficients of xy, x2y, x2y2z2, xy2 respectively.

Dipali earns Rs. 2,100 in 30 days. How much will she earn in a leap year?

  1. Rs. 25,550

  2. Rs. 25,620

  3. Rs. 29,200

  4. Rs. 21,900

  5. None of the above


Correct Option: B
Explanation:

Dipali earns Rs. 2,100 in 30 days. She will earn Rs. 70 in 1 day. She will earn Rs. (366 x 70) = Rs. 25,620 in a leap year.

Let 102 x 33 = K. The number which is obtained when K is rounded to the nearest tens is

  1. 3360

  2. 3366

  3. 3365

  4. 3370

  5. None of the above


Correct Option: D
Explanation:

102 x 33 = 3366 = K. K when rounded to the nearest tens becomes 3370.

Which amongst the following represents the smallest decimal number?

1.0012, 1.0010, 1.0011, 1.0000, 1.0090

  1. 1.0012

  2. 1.0090

  3. 1.0011

  4. 1.0010

  5. None of the above


Correct Option: D
Explanation:

It is the correct option. It is the fourth largest decimal number.

Let M = 133 x 64. The number obtained when M is rounded to the nearest thousands is

  1. 8000

  2. 8510

  3. 8512

  4. 9000

  5. None of the above


Correct Option: D
Explanation:

M = 133 x 64 = 8512. 8512 when rounded to the nearest thousands becomes 9000.

If 562m23 be a number which is divisible by 3, then which of the following is not the possible value of m?

  1. 0

  2. 1

  3. 3

  4. 2

  5. Both (2) and (4)


Correct Option: E
Explanation:

Options 2 and 4 both are correct as for m = 1 and 2, the numbers so formed are not divisible by 3.

If 3z - 21 = 4z - 24, then the value of 3z + (z - 2) will be

  1. 14

  2. 10

  3. 8

  4. 4

  5. None of the above


Correct Option: B
Explanation:

3z - 21 = 4z - 24 Or, z = 3 Or, 3 x 3 + ( 3 - 2 ) = 9 + 1 = 10

Suppose a person buys a radio set for Rs. 360. He spent Rs. 60 on its repair and spent Rs. 40 on changing the batteries. Now if he sells the radio set again for Rs. 500, what is his gain or loss percent?

  1. 8%, Gain

  2. 8.69%, Gain

  3. 21.73%, Gain

  4. 17.39%, Gain

  5. None of the above


Correct Option: B
Explanation:

Total C.P. for the person = Rs. ( 360 + 60 + 40 ) = Rs. 460 S.P. for the person = Rs. 500 Therefore, gain = Rs. ( 500 - 460 ) = Rs. 40 Gain % = (40/460) x 100 = 8.69%

Let a number K is added to its reciprocal and the result obtained is multiplied by 'a'. The correct expression for it will be

  1. (K - 1/K) a

  2. (K + 1/K) a

  3. (a + 1/a) K

  4. (a - 1/a) K

  5. None of the above


Correct Option: B
Explanation:

Number is K. Reciprocal of K = 1/K Correct expression = (K + 1/K) a

Which of the following numbers is/are not a perfect square?

  1. 17424

  2. 17422

  3. 18769

  4. 18768

  5. Both (2) and (4)


Correct Option: E
Explanation:

Options 2 and 4 both are not perfect squares.

Let a number 2523 = k x 1000 + 5 x l + m x n + z.

The possible value of k - (m - n) - (I - z) is

  1. 91

    • 103
    • 87
    • 95
  2. None of the above


Correct Option: B
Explanation:

We have k = 2, I = 100, m = 10 OR 2, n = 10 OR 2, z = 3. When k = 2, I = 100, m = 10, n = 2, z = 3, then k - ( m - n ) - ( I - z ) = 2 - (10 - 2 ) - ( 100 - 3 ) = 2 - 8 - 97 = - 103.

Let the cost of 14 eggs is Rs. 112 and cost of 6 eggs is Rs. M. Then, the value of (M x 93) when rounded to the nearest tens is

  1. 4460

  2. 4464

  3. 4465

  4. 4470

  5. None of the above


Correct Option: A
Explanation:

Cost of 14 eggs = Rs. 112 Cost of 1 egg will be = Rs. 8 Cost of 6 eggs = Rs. 48 Therefore, M = 48 Now, 48 x 93 = 4464 4464 when rounded to nearest tens becomes 4460.

Let a number 2523 = k x 1000 + 5 x l + m x n + z.

The values of k, I, m, n and z respectively are

  1. 2, 100, 10, 2, 3

  2. 2, 10, 10, 2, 3

  3. 2, 100, 2, 10, 3

  4. Both (1) and (3)

  5. None of the above


Correct Option: D
Explanation:

Since options 1 and 3 both are correct answers, so this option is most suitable.

A number is multiplied by 3/2. What is the percentage increment?

  1. 25%

  2. 33.33%

  3. 50%

  4. 20%

  5. None of the above


Correct Option: C
Explanation:

Let the number be x. When multiplied by 3/2, it becomes = 3x/2. Percentage increment [(3x/2 - x) /x] x 100 = (x/2x) x 100 = 50%

Let K = 112 x 35, the value of K when rounded to the nearest hundreds will be

  1. 3900

  2. 3920

  3. 4000

  4. 2000

  5. None of the above


Correct Option: A
Explanation:

K = 112 x 35 = 3920 When rounded to the nearest hundreds, it becomes 3900.

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