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Mathematics (Mixed Test)

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Which of the following numbers is not a perfect square?

  1. 49729

  2. 48841

  3. 47961

  4. 47523

  5. All of the above are perfect squares.


Correct Option: D
Explanation:

47523 = 219 x 217

If 101 x 26 = x, then the number x, when rounded to the nearest tens, becomes

  1. 2630

  2. 2626

  3. 2625

  4. 2620

  5. None of these


Correct Option: A
Explanation:

101 x 26 = 2626

When rounded to the nearest tens, it becomes 2630.

Choose the least decimal number from the given options.

  1. 1.002546

  2. 1.000264

  3. 1.025314

  4. 1.000025

  5. 1.235604


Correct Option: D
Explanation:

It is the least decimal number.

Which of the following options is monomial?

  1. 2x + c

  2. 2k

  3. 4k + 26

  4. 4k.k + 26 + l

  5. None of these


Correct Option: B
Explanation:

It is monomial, since it contains a single algebraic term.

If the cost of fencing a square plot is Rs. 10 per metre, then the total cost of fencing the plot of side 3.5 m is

  1. Rs. 140

  2. Rs. 14

  3. Rs. 1400

  4. Rs. 120

  5. None of these


Correct Option: A
Explanation:

Perimeter = 4 x side = 4 x 3.5 = 14 m

Cost of fencing 1 m = Rs. 10

Cost of fencing 14 m = Rs (14 x 10) = Rs. 140

Let the predecessor of 10,000 be K and the successor of 9,999 be L. Then, the value of (2K + L) is

  1. 19,998

  2. 19,999

  3. 29,998

  4. 30,000

  5. None of these


Correct Option: C
Explanation:

Predecessor of 10000 = 9999 = K

Successor of 9999 = 10000 = L

Therefore, 2 x 9999 + 10000 = 19998 + 10000 = 29,998

Choose the perfect squares from among the following numbers and find their sum:

15129, 15876, 45677, 23568, 16641

  1. 31005

  2. 47646

  3. 31770

  4. 32517

  5. 55338


Correct Option: B
Explanation:

123 x 123 = 15129

126 x 126 = 15876

129 x 129 = 16641

 
Only 15129, 15876, 16641 are the perfect squares among all the given numbers. Therefore, their sum = 15129 + 15876 + 16641 = 47646.

If a train is running at 39.6 km/hr, then the distance it will cover in 5 minutes is

  1. 198 m

  2. 198 km

  3. 55 m

  4. 3300 m

  5. None of these


Correct Option: D
Explanation:

39.6 km/h = 11.0 m/sec

Therefore, the distance it will cover in 5 minutes is (11 x 300) m = 3300 m

Suppose Ram walks 2.5 km in 5 days. Then, how much distance will he walk in a year if the year is a leap year?

  1. 1830 km

  2. 182.5 km

  3. 183 km

  4. 1825 km

  5. None of these


Correct Option: C
Explanation:

2.5 km in 5 days => 2.5/5 km in 1 day

Therefore, in 366 days he will walk = [366 x ( 2.5/5 )] km = (0.5 x 366) km = 183 km

The value of 102 x 33 when rounded to the nearest tens is

  1. 3360

  2. 3366

  3. 3365

  4. 3370

  5. None of these


Correct Option: D
Explanation:

102 x 33 = 3366

When rounded to the nearest tens, it becomes 3370.

102 x 57, when rounded to the nearest thousands, it becomes

  1. 5000

  2. 6000

  3. 5500

  4. 5800

  5. None of these


Correct Option: B
Explanation:

102 x 57 = 5814

When rounded to the nearest thousands, it becomes 6000.

If a bus is running at 15 m/sec, then the distance it will cover in 5 minutes will be

  1. 4500 m

  2. 75 m

  3. 300 m

  4. 450 m

  5. None of these


Correct Option: A
Explanation:

Speed of bus = 15 m/sec Therefore, distance it will cover in 5 minutes is = 15 x 5 x 60 = 4500 m.

A number is 2 less than 3 times a number x. If (y + 4) is added to that number, the new number so formed will be

  1. 3x - 2

  2. 3x - 2 + y

  3. 3x - 2 - y

  4. 3x - 2 + y + 4

  5. None of these


Correct Option: D
Explanation:

It is the expression for a number which is 2 less than 3 times a number x and the number so obtained is added with y + 4.

The simplest ratio of 10 km and 5 m is

  1. 10 : 5

  2. 2 : 1

  3. 10,000 : 5

  4. 2000 : 1

  5. None of these


Correct Option: D
Explanation:

Proper unit is converted and the ratio is also taken as the simplest ratio.

If the solution of the equation 2x - 3 = 3 is of the form 6K and the solution of the equation x - 4 = 2 is of the form 2L, then the value of (K + L) will be

  1. 7

  2. 5

  3. 7/2

  4. 7/3

  5. None of these.


Correct Option: C
Explanation:

2x - 3 = 3 => 2 x = 6                   =>  x = 3

Now, 6K = 3 => K = 1/2

Also, x - 4 = 2 => x = 6 & 2L = 6 => L = 3

Therefore, K + L = 7/2

Which of the following options is a perfect square?

  1. 63508

  2. 63504

  3. 63507

  4. 63502

  5. None of these


Correct Option: B
Explanation:

252 x 252 = 63504

Which of the following options is binomial?

  1. 2k + 2

  2. k + 1

  3. k + m + 3

  4. Both options 1 and 2 are binomial.

  5. Options 2 and 3 are binomial.


Correct Option: D
Explanation:

Both options 1 and 2 are binomial. Therefore, it is the most suitable choice.

Let the solution of the equation 2k + 4 = - 8 and the solution of the equation 3s + 5 = 8. Then, the value of 2k + 3s is

    • 11
    • 9
  1. 13

  2. 15

  3. None of these


Correct Option: B
Explanation:

2k + 4 = - 8 => 2k = - 12                      => k = - 6

Also, 3s + 5 = 8  => 3s = 3                               => s = 1

Therfore, 2 x (- 6) + 3 x 1 = - 12 + 3 x 1 = - 9

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