Mega Quant Weekly Revision Quiz II MH-CET 2021 II 8 August for CAT & MBA Exams

Question 1

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

What is the length of the train?

Statement I: The train crosses a man travelling with a speed of 6 m/s in the direction of train in 12 seconds.

Statement II: The train crosses a pole in 16 seconds and a man travelling with a speed of 5 m/s in the opposite direction of the train towards it in 12 seconds.

Question 2

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

A can do the work alone in 8 days; while B and C together can do the same work in 6 days. Find the time taken to complete the work, if B works alone.

Statement I: A and C together can complete the work in 4 days.

Statement II: The efficiency of C is equal to the efficiency of A.

Question 3

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

A shopkeeper sold product A to Abhishek and product B to Bipul at a profit of 20% and 25% respectively. If the cost price of the both product A and product B is same, find the ratio of the marked price of product A to product B.

Statement I: The discount given by the shopkeeper on product A and product B are 20% and 50% respectively.

Statement II: The ratio of the selling price of product A to product B is 24 : 25.

Question 4

Direction: Each question below is followed by two statements I and II. You have to determine whether the data given in the statement is sufficient for answering the question. You should use the data and your knowledge of Mathematics to choose the best possible answer.

An election conducted between two candidates A and B. Candidate A won by 120 votes. Find the percentage of votes received by candidates A. Assuming there is no invalid vote.

Statement I: Candidates B received 45% of the total votes.

Statement II: Candidates B received 540 votes.

Question 5

The ratio of the angles of a quadrilateral is 3:5:9:1. What is the value (in degrees) of two-thirds of the total sum of the smallest and the second largest angles together?

Question 6

Difference between the compound interest and simple interest accrued in two years at 8 % per annum is Rs. 128. What is the principal amount?

Question 7

Two train A and B running at the speed of 90 km/hr and 108 km/hr respectively. The length of train A is 350 m. If both train running opposite direction on two parallel track, then faster train crossed the slower train in 18 seconds. Find the length of train B.

Question 8

The population of India in 2018 was 125000. If the population in 2019 showed an increment of 12.5%, in 2020 it is expected to show a decrement of 25% and in 2021 it is expected to show a decrement of around 55.55%. If this trend follows, what will be population in 2021?

Question 9

Direction: Study the following information carefully and answer the given questions.

There were five different commodities sold by three different sellers at their shop. They earned different amount of profits on each product per kg. Profit per kg (in Rs.) of product is given in following table:

Profit earned by all the three sellers (A,B,C) on selling 3kg, 2kg and 4kg of Tea respectively is how much percent more than profits earned by them for selling 2 kg, 3kg and 4kg of wheat flour?

Question 10

Direction: Study the following information carefully and answer the given questions.

There were five different commodities sold by three different sellers at their shop. They earned different amount of profits on each product per kg. Profit per kg (in Rs.) of product is given in following table:

A has sold 2 kg of Rice and 3 kg of Sugar. C has sold 2 kg of Sugar and 4 kg of Tea. Who has earned more profits through this sale and by what percentage?

Question 11

Direction: Study the following information carefully and answer the given questions.

There were five different commodities sold by three different sellers at their shop. They earned different amount of profits on each product per kg. Profit per kg (in Rs.) of product is given in following table:

C has earned 25% of Profits on Sugar and 14% profits on Pulses. Find out the total cost C has to bear for 5 kg of Sugar and Pulses each together.

Question 12

Direction: Study the following information carefully and answer the given questions.

There were five different commodities sold by three different sellers at their shop. They earned different amount of profits on each product per kg. Profit per kg (in Rs.) of product is given in following table:

C sells 5 Kgs of Tea in Rs. 600 . How much cost price he has to bear for per kg of Tea?

Question 13

Direction: Study the following information carefully and answer the given questions.

There were five different commodities sold by three different sellers at their shop. They earned different amount of profits on each product per kg. Profit per kg (in Rs.) of product is given in following table:

B has earned 20% profits on pulses and 5% profits on Sugar. He has sold 2 kg of each Sugar and pulses. A has sold 2 kg of Rice by earning 5% profits and 3 kg of Tea by earning 25% of Profits. What is the ratio of total sales value of B and A for given products?

Question 14

A man takes 20 minutes to covers 10 km in upstream and in 15 minutes he covers 9 km downstream. Find the time taken by the boat to covers 22 km in still water.

Question 15

The cost of manufacturing an article is Rs 4200.The manufacturer sold it to the wholesaler at a profit of 20%, who sold it to the retailer at a profit of 15%, who sold the article to the customer at a loss of 10%. Find the selling price of retailer.

Question 16

The ratio of the age of Ashish and his wife is 5 : 4 and after 6 years, this ratio will become 11 : 9. If at the time of marriage, ratio of the age of Ashish and his wife was 4 : 3, how many years ago, they got married?

Question 17

If a 1200 ml mixture of spirit and water contains 60% spirit. What quantity of the mixture of spirit and water should be replaced with 30% sprit concentrate so that the resultant solution contains 40% spirit concentrate?

Question 18

Direction: What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

750.01% of 494.98 ÷ 43.99% of 37.51 + ? = 456

Question 19

Direction: What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

1279.95 − 11.99 × 34.95 − ?²= 188 × 2

Question 20

Direction: What approximate value should come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)

1429.99 × 5.99 ÷ 9.99 +

× 59.99 × 77.01 − 227= ?