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# MH-CET Quantitative Aptitude Practice Questions Set-5

1. What will be the remainder when 〖17〗^200is divisible by 18?

a) 2

b) 3

c) 1

d) 4

e) None of these

2. If 18 carat gold is two third pure and 15 carat gold is two fifth pure, what is the ratio of purity in 18 carat to 15 carat gold, if 24 carat is considered tobe the purest gold?

a) 5:3

b) 5:4

c) 3:5

d) 4:5

e) None of these

3.

4. Without stoppage, a train travels a distance of 120 km in 2 hours. and with stoppage it covers the same distance with an average speed of 40Km/hr. On an average, how many minutes per hour does the train stop during the journey?

a) 12 minutes

b) 15 minutes

c) 18 minutes

d) 20 minutes

e) None of these

5. Rohan started a business investing Rs. 1, 40,000. Mohit joined him after six months with an amount of Rs. 2, 10, 000 and Sohit joined them with Rs. 2, 80,000 after another six months. After   in what ratio the profits will be distributed among Rohan, Mohit and Sohit, respectively?

a) 4: 4: 1

b) 5: 4: 3

c) 3: 3: 2

d) 5: 6: 7

e) None of these

6. A positive integer is divided by 5. What is the probability that the remainder is not 1?

a) 1/5

b) 2/5

c) 4/5

d) None of these

e) Cannot be determined

7. If the length of a certain rectangle is decreased by 8 cm and the width is increased by 6 cm, a square with the same area as the original rectanglewould result. Find the perimeter of the original rectangle.

a) 40 cm

b)100 cm

c) 60 cm

d) 30 cm

e) None of these

8. The sides of a triangle are 5 cm, 12 cm, and 13 cm. The area (in cm2) of the triangle formed by joining the mid-points of the sides of this triangle is:

a) 7.5

b) 3/2

c) 9

d) 10

e) None of these

Directions (9 – 10):  The following bar graph show the distribution of enrollment of students in different specialisations.

The following table shows ratio of males and females in different specialisations:

 Specialisation Male Female IT 6 4 IB 11 2 Marketing 10 9 Finance 8 6 HR 4 3 Economics 13 6

9. What is the respective ratio of total number of females in marketing and economics to the males of IT and Finance?

a) 11 : 7

b) 12 : 6

c) 11: 2

d) 5 : 6

e) None of these

10. What is difference between total number of males and females in all the specialisation?

a) 450

b) 670

c) 550

d) 320

e) None of these

 Question Answer 1. C 2. A 3. B 4. D 5. C 6. C 7. B 8. A 9. A 10. C

Explanation: 1.

Explanation: 2.

Explanation: 3.

Explanation:4.  Without stoppage, average speed of the train = 60 km/hr means it speed per minute = 1 km.

With stoppage it covers the same distance with an average speed of 40Km/hr means it travel only for 40 minutes.

Explanation:5.

Rohan: Mohit: Sohit = (1, 40,000 X 18): (2, 10, 000 X 12): (2, 80, 000 X6) = 3: 3:2

Explanation:6.

When a positive integer is divided by 5, the remainder could be 0, 1, 2,  3 or 4. The sample space is 5 i.e. n(S) =5. The probability that the remainder is not 1 is 4/5.

Explanation:7.

Explanation:8.

Explanation:9.

Explanation:10.

[Source:- Jagranjosh]