Haryana Police Exam (07.08.2021) Shift II

1. If 3 times a number exceeds its 3/5 M by 60, then what is the number?

(1) 25
(2) 35
(3) 45
(4) 60

Correct Answer: (1) 25

Solution:

2. Which smallest number must be added to 2203 so that we get a perfect square?

(1) 1
(2) 3
(3) 6
(4) 8

Correct Answer: (3) 6

Solution:(47)² = 2209

Required minimum number

= 2209 - 2203 = 6

3. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:

(1) 91
(2) 910
(3) 1001
(4) 1911

Correct Answer: (1) 91

Solution:Maximum no. of students

= HCF of 1001 and 910

1001 = 91 × 11

910 = 91 × 10

HCF of 1001 and 910 = 91

4. If I would have purchased 11 articles for Rs. 10 and sold all the articles at the rate of 10 for Rs. 11, the profit percent would have been:

(1) 10%
(2) 11%
(3) 21%
(4) 100%

Correct Answer: (3) 21%

Solution:

5. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs. 36.60, then the sum is:

(1) Rs. 8000
(2) Rs. 8400
(3) Rs. 4400
(4) Rs. 4800

Correct Answer: (4) Rs. 4800

Solution:

6. The ratio of two numbers is 10:7 and their difference is 105. The sum of these numbers is od 150

(1) 595
(2) 805
(3) 190
(4) 1610

Correct Answer: (1) 595

Solution:

7. A can complete a piece of work in 10 days, B in 15 days and C in 20 days, A and C worked together for two days and then A was replaced by B. In how many days, altogether, work was completed?

(1) 12 days
(2) 10 days
(3) 6 days
(4) 8 days

Correct Answer: (4) 8 days

Solution:

Time taken by (B + C) to complete the remaining work

= 7/10 × 60/7 = 6 days

8. A train 180m long moving at the speed of 20 m/sec over takes a man moving at a speed of 10 m/sec in the same direction. The train Passes the man in:

(1) 6 sec
(2) 9 sec
(3) 18 sec
(4) 27 sec

Correct Answer: (3) 18 sec

Solution:Length of train = 180

Relative speed = 20 - 10

= 10m/sec

= Length of train/Relative speed

= 180/10 = 18 seconds

9. There are 30 students in a class. The average age of first 10 students is 12.5 years. The average age of the remaining 20 students is 13.1 years. The average age (in years) of the students of the whole class is:

(1) 12.5 years
(2) 12.7 years
(3) 12.8 years
(4) 12.9 years

Correct Answer: (4) 12.9 years

Solution:Average age of entire class

= 10 × 12.5 + 20 × 13.1/30

= 125 + 262/30 = 387/30 = 12.9 years

10. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?

(1) 25 balls
(2) 75 balls
(3) 50 balls
(4) 125 balls

Correct Answer: (4) 125 balls

Solution:

Haryana Police Exam (07.08.2021) Shift II

1. If 3 times a number exceeds its 3/5 M by 60, then what is the number?

2. Which smallest number must be added to 2203 so that we get a perfect square?

3. The maximum number of students among whom 1001 pens and 910 pencils can be distributed in such a way that each student gets same number of pens and same number of pencils, is:

4. If I would have purchased 11 articles for Rs. 10 and sold all the articles at the rate of 10 for Rs. 11, the profit percent would have been:

5. If the difference between the compound interest and simple interest on a sum at 5% rate of interest per annum for three years is Rs. 36.60, then the sum is:

6. The ratio of two numbers is 10:7 and their difference is 105. The sum of these numbers is od 150

7. A can complete a piece of work in 10 days, B in 15 days and C in 20 days, A and C worked together for two days and then A was replaced by B. In how many days, altogether, work was completed?

8. A train 180m long moving at the speed of 20 m/sec over takes a man moving at a speed of 10 m/sec in the same direction. The train Passes the man in:

9. There are 30 students in a class. The average age of first 10 students is 12.5 years. The average age of the remaining 20 students is 13.1 years. The average age (in years) of the students of the whole class is:

10. A solid metallic cone of height 10 cm, radius of base 20 cm is melted to make spherical balls each of 4 cm diameter. How many such balls can be made?

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