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Mega Quant Weekly Revision Quiz- Score 20/20 : 22 Jan 2023

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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 + (6)^3/2 = (6^1/2 + 6)x
II. y¹³ –

= 0

Question 2

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

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 relation between X and Y.

II.

Question 4

The length and the breadth of the Roof of a room is 40 feet and 20 feet respectively. Square tiles of 2 feet dimension having three different colours are placed on the floor. The first row of tiles on all sides is of black color, out of the remaining area, 1/4th is of white color and the remaining is of grey colour. How many white colored tiles are there?

Question 5

A refrigerator contains 10 apples and 20 oranges out of which 3 apples and 5 oranges are defective. If we choose two fruits at random, what is the probability that either both are oranges or both are non-defective?

Question 6

Train A overtakes train B running in same direction in 36 seconds. The ratio of speeds (in km/h) of trains A and B is 3:2 and the lengths of trains A and B are 160 meters and 200 meters respectively. If train B crosses a 300 meter long platform in T seconds and train A crosses a bridge in (T + 3) seconds, find the length of the bridge?

Question 7

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)

55% of 820 – 141.17 = ? – 25% of 839 .92

Question 8

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)

322.011 + 15.01 × 4.99 + 20% of 220 = ?²

Question 9

Direction: What approximate value should come in place of question mark (?) in following questions?

= ? – (55.03 + 2.97)

Question 10

Direction: What will come in place of question mark(?) in the given number series?

6, 8, 20, 66, ?, 1370

Question 11

Direction: What will come in place of question mark(?) in the given number series?

246, 134, 78, 50, ?, 29

Question 12

Direction: What should come in place of the question mark (?) in the following number series?

5 , 17 , 53 , 113 , ? , 305

Question 13

Two pipes A and B can fill a tank in 15 minutes and 10 minutes, respectively. If both pipes A and B together fill the tank, then due to a leak at the bottom, it takes 2 minutes extra to fill the tank, then find the time in which the leak will empty the full tank.

Question 14

If a discount of 24% is given on the marked price of furniture, the carpenter gains 28%. If the discount is increased to 35% the gain percent is:

Question 15

The simple interest accrued on a sum of certain principal is ₹ 2000 in five years at the rate of 4% per annum. What would be the compound interest accrued on the same principal at the same rate in two years?

Question 16