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Mathematics (Practice Test)

Description: Experience the real time sainik school entrance exam fever.
Number of Questions: 16
Created by:
Tags: pradeep kumar tiwary Decimals Using the Concept of Proportions in Problems Unitary Method Word Problems Playing with Numbers Prime Numbers and Composite Numbers
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Which of the following numbers is not a perfect square?

  1. 52312

  2. 54123

  3. 56987

  4. 52148

  5. None of these


Correct Option: E
Explanation:

Yes, it is the correct answer.

Consider the numbers given below: 0.0099, 0.0009, 0.01235, 0.12113, 0.00124. On arranging the sequence in descending order and assuming the number K to be the middle one, the value of K + 1 will become

  1. 1.0099

  2. 1.00124

  3. 1.0009

  4. 1.12113

  5. None of these


Correct Option: A
Explanation:

0.12113 > 0.01235 > 0.0099 > 0.00124 > 0.0009. Clearly, 0.0099 lies in the middle. Therefore, K + 1 = 1.0099.

Three numbers are in the ratio 3 : 1 : 4 and the sum of these three numbers is 128. Then, the sum of the largest and the smallest number is

  1. 80

  2. 112

  3. 64

  4. 96

  5. None of these


Correct Option: A
Explanation:

Let the numbers be 3x , x  and 4x, respectively. Then, 3x + x + 4x = 128  x = 16 Therefore, the three numbers are 48, 16, 64. Sum of the largest and the smallest number = 64 + 16 = 80.

Which of the following is not a prime number?

  1. 821

  2. 823

  3. 827

  4. 829

  5. None of these


Correct Option: E
Explanation:

All of the above are prime numbers.

Dipali can buy 2 chocolates for Rs. 12 and Pradeep can buy 2 chocolates for Rs. 10. If Pradeep has to buy 5 chocolates and Dipali has to buy 6 chocolates, then the total cost for the chocolates both have to pay is

  1. Rs. 61

  2. Rs. 36

  3. Rs. 25

  4. Rs. 51

  5. None of these


Correct Option: A
Explanation:

Cost of 2 chocolates for Dipali = Rs. 12 Cost of 1 chocolate for Dipali = Rs. 6 Cost of 6 chocolates for Dipali = Rs. ( 6 X 6 ) = Rs. 36    ------- A Cost of 2 chocolates for Pradeep = Rs. 10 Cost of 1 chocolate for Pradeep = Rs. 5 Cost of 5 chocolates for Pradeep = Rs. (5 X 5 ) = Rs. 25  ------- B Total cost = Rs. (36 + 25) = Rs.  61

A man can earn Rs. 725 in 5 days. How much will he earn in a year, which is a leap year?

  1. Rs. 53070

  2. Rs. 52925

  3. Rs. 5307

  4. Rs. 51240

  5. None of these


Correct Option: A
Explanation:

Man earns Rs. 725 in 5 days. Man will earn Rs. 145 in 1 day. Since a leap year has 366 days, therefore the man will earn Rs. (145 X 366) in a leap year. 145 x 366 =  53070

Two adjacent sides of a parallelogram are 5 cm and 10 cm, respectively. If the perimeter of of the parallelogram is 6K cm, then the value of K is

  1. 15

  2. 60

  3. 30

  4. 5

  5. None of these


Correct Option: D
Explanation:

 
Perimeter of parallelogram = 2 X ( 10 + 5 ) = 30 cm. Now, perimeter = 6 K = 6 X 5, therefore value of K = 5

Which of the following is a perfect square?

  1. 22523

  2. 20736

  3. 85477

  4. 56418

  5. None of these


Correct Option: B
Explanation:

Square of 144 is 20736. 20736 = 144 x 144. Therefore, 20736 is a perfect square.

Let the solution of the equation 3 x (- 6) = 9 is K. Now, if a man earns Rs. 520 in 26 days, how much will he earn in K days?

  1. Rs. 10

  2. Rs. 20

  3. Rs. 100

  4. Rs. 150

  5. None of these


Correct Option: C
Explanation:

 
3 x - 6 = 93 x = 15x = 5 = K. If a man earns Rs. 520 in 26 days, he will earn Rs. 20 in 1 day.  Therefore, he will earn Rs. (20 X 5) in K days = Rs. 100.

Which of the following is not a prime number?

  1. 701

  2. 709

  3. 719

  4. 739

  5. All of the above are prime numbers


Correct Option: E
Explanation:

Correct option; as all of the above are prime numbers.

If the numbers 7770, 7741, 7717, 7017, 7747 are arranged in ascending order, then the sum of the third and fourth number will be

  1. 15464

  2. 15488

  3. 15458

  4. 15517

  5. None of these


Correct Option: B
Explanation:

When arranged in ascending order : 7017, 7717, 7741, 7747, 7770.

Third number = 7741
Fourth number = 7747
Sum = 7741 + 7747 = 15488
 
 

The value of 2.5 X 2.6 X 6.8 X 100 when rounded to the nearest hundred is

  1. 4500

  2. 4410

  3. 4400

  4. 4000

  5. None of these


Correct Option: C
Explanation:

Yes, it is correct. 2.5 X 2.6 X 6.8 X 100 = 4420. When rounded to nearest hundred, it becomes 4400.

A person is running at 9 km/hr. He has to cross a tunnel of length 750 m. The time he will take to cross the tunnel is 100 K seconds. The value of K is

  1. 300

  2. 3

  3. 1

  4. 30/100

  5. None of these


Correct Option: B
Explanation:

9 km/h = 9 X (5/18) m/sec              = 2.5 m/sec. The person covers a distance of 2.5 m in 1 sec. The person will cover distance of 750 m in (750 / 2.5) sec = 300 seconds 300 sec = (100 X 3) sec. Therefore, K = 3.

The sum of the place value of 2 and face value of 5 in 4012350 is

  1. 1005

  2. 2050

  3. 2005

  4. 1010

  5. None of these


Correct Option: C
Explanation:

Yes, it is correct. Place value of 2 = 2000 Face value of 5 = 5 Hence, the sum = 2005.

Let 3k - 6 = 9 and 4m + 24 = 32, then the value of (2k + 3m - km) is

    • 14
  1. 6

  2. 14

    • 6
  3. None of these


Correct Option: B
Explanation:

 
3k - 6 = 9 Or, 3k = -15 Or, k = - 5 Also, 4m + 24 = 32 4m = 8
m = 2  Now, 2 k + 3 m - k m = 2 X 5 + 3 X 2 - 2 X 5 = 6

If K is the largest 5 digit number and L is the smallest 4 digit number, then the value of 2 (L - K - 1) - (1 - L) + 10 is

    • 196989
    • 198997
    • 196999
    • 196991
  1. None of these


Correct Option: D
Explanation:

K = 99999, L = 10002 ( 1000 - 99999 - 1 ) - (1 - 1000 ) + 10 Or, - 198000 + 999 + 10 Or, - 196991 Or, 2 ( -98999 ) - (-999) Or, - 197998 + 999 Or, - 196999

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