Mega Quant Weekly Revision Quiz II MH-CET 2021 II 18 July for CAT & MBA Exams

Question 1

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X² + 15X + 56 = 0

II. Y² + 9Y + 14 = 0

Question 2

Direction: In the following question two equations numbered I and II are given. You have to solve both the equations and answer the question.

I.

II.

Question 3

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. X²− 31X + 228 = 0

II. Y²− 19Y + 88 = 0

Question 4

Direction: In the following question two equations are given in variables X and Y. You have to solve these equations and determine the relation between X and Y.

I. 6X + 10Y = 90

II. 2X + 3Y = 29

Question 5

Direction: In the following number series only one number is wrong. Find out the wrong number.

15, 56, 19, 104, 30, 160

Question 6

Direction: In the following number series only one number is wrong. Find out the wrong number.

20, 10, 15, 35, 131.25, 590.625

Question 7

Direction: In the following number series only one number is wrong. Find out the wrong number.

903, 911, 935, 970, 1031, 1103

Question 8

Direction: Study the table carefully and answer the questions given below.

Following table shows the percentage population of 5 districts in Uttar Pradesh above poverty line and the ratio of male and female.

If the population of district S and T is 8000 and 15500 respectively. Then, male population above poverty line of district S is how much per cent more/less than the female population below the poverty line of district T? (approximately)

Question 9

Direction: Study the table carefully and answer the questions given below.

Following table shows the percentage population of 5 districts in Uttar Pradesh above poverty line and the ratio of male and female.

If the male population above the poverty line in district R is 5400 and that in district S is 7200, then what is the ratio of the total population of district R to that of district S?

Question 10

Direction: Study the table carefully and answer the questions given below.

Following table shows the percentage population of 5 districts in Uttar Pradesh above poverty line and the ratio of male and female.

If the total population of District P is 12000, then what is the total number of females living below the poverty line in District P.

Question 11

Direction: Study the table carefully and answer the questions given below.

Following table shows the percentage population of 5 districts in Uttar Pradesh above poverty line and the ratio of male and female.

If the population of females below the poverty line in district Q is 1440 then what is the total population of that district.

Question 12

Direction: Study the table carefully and answer the questions given below.

Following table shows the percentage population of 5 districts in Uttar Pradesh above poverty line and the ratio of male and female.

If the total population of district R and T together is 15000, then what is the total number of females below the poverty line in the given district

Question 13

The efficiency of Shashi is 25% more than Jyoti and Jyoti takes 19 days to complete a piece of work alone. Shashi started working alone and then Jyoti joined her 4 days before the completion of the work. For how many days Shashi worked alone?

Question 14

A vessel contains 126 litres of a mixture of milk and water. The ratio of milk to water is 3 : 4 . If 28 litres of mixture is taken out from that vessel and then 12 litres of water added to it, what will be the approximate percentage of milk in the final mixture?

Question 15

Distance between two cities Agra and Vaishali is 1260 km. Amit starts from Agra towards Vaishali with usual speed and after covering one third of distance, he increased his speed by 20% and by doing so it takes 1 hour 20 minutes less than what its take at its usual speed. What is the speed of Amit?

Question 16

A shopkeeper marks the price of the article in such a way that after allowing 27% discount, he wants a gain of 14%. If the marked price is Rs. 342, then what is the cost price (in Rs.) of the article?

Question 17

When the price of wheat is increased by 50%, a family reduces its consumption such that the expenditure is only 35% more than before. If 25 kg of wheat is consumed by family before, then find the new consumption of family.

Question 18

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.

Present average age of Radha, Shyam and Ram is equal to the present age of Shyam. Find the present age of Radha.

Statement I: Present ages of Ram and Radha are in the ratio of 3 : 2 respectively. Shyam is eight years younger to Ram.

Statement II: Present ages of Radha and Shyam are in the ratio of 4 : 5 respectively. Present age of Ram is 50% more than the present age of Radha.

Question 19

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 rate of interest per annum?

Statement I: A sum of amount becomes 7 times in 24 years at simple interest.

Statement II: The amount of Rs 12000 becomes Rs 21000 in 3 years at simple interest.

Question 20

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 bag contains red, blue and green balls in the ratio 7 : 4 : 9 respectively. Find the total number of balls in the bag.

Statement I: Probability of drawing a blue ball from the bag is .

Statement II: Probability of drawing two green balls from the bag is .