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# Mini Mock Test Math/ Reasoning (Week 3)- 22.05.2022

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Question 1

Five objects A, B, C, D and E are of different weights. The weight of B is double the weight of E. The weight of C is three times the weight of A. D's weight is four times the weight of C. The weight of B is half the weight of D. Which object is the heaviest among all?

Question 2

There are 45 trees in a row. The lemon tree is 20th from right end. What is the rank of lemon tree from left end?

Question 3

Speed of a person is 8 km/h. He rests 10 min after each 5 km. What is time required for him to cover a distance of 40 km ?

Question 4

In a class of 70 students, 40 students have passed in Philosophy, 36 have passed in History, 10 students have failed in both the subjects. How many students have passed in Philosophy only?

Question 5

Among five iron balls P, Q, R, S and T, the weight of Q is 5 kg, which is double the weight of P. The weight of S is half the weight of T. The weight of R is equal to the weight of P and Q taken together. The weight of T is four times the weight of R. What is the weight of S?

Question 6

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

Some eggs are onions.

All onions are blue.

Conclusions:

I. All eggs are blue.

II. All onions are eggs.

Question 7

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

1: All cricketers are players.

2: Some cricketers are fielders.

Conclusions:

1: Some fielders are cricketers.

2: Some fielders are players.

Question 8

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusion logically follow(s) from the given statements.

Statements:
Some kings are queens.
All queens are beautiful.

Conclusions:
I. All kings are beautiful
II. All queens are kings.

Question 9

Below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with the commonly known facts and then decide which of the given conclusions logically follow(s) from the given statements.

Statements:
All apples are red in colour.
No red coloured things are cheap.

Conclusions:
I. All apples are cheap.
II. Red coloured apples are not cheap.

Question 10

In the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statement:
I. All Students are Teachers.
II. All Teachers are Schools.
Conclusions:
I. Some schools are students.
II. No schools are students.

Question 11

In a group of 73 friends, 14 friends go to Gym and Karate classes both whereas 7 friends neither go to Gym class nor to Karate class. If a total of 36 friends go to Gym class, then how many friends go only Karate class?

Question 12

₹ 2,871 is to be divided among A,B and C in the ratio of 9: 11 :13, respectively. How much more money (in ₹) will C get as compared to A ?

Question 13

The cost of four cycle tyres and three tubes is Rs.720, whereas the cost of three cycle tyres and four tubes is Rs.610. What is the cost of a tube?

Question 14

The sum of present ages of Vishal and Aditi is 105 years. If Aditi is 25 years younger than Vishal, then what is the present age of Preetam who is 7 years elder than Aditi?

Question 15

Two horses A and B run at a speed of 3:2 ratio in the first lap; during the second lap the ratio differs by 4:7 ; during the third lap there ratio differs by 8:9. What is the difference in ratio of speed altogether between the two horses ?

Question 16

A train of length 600 metre crosses a platform of length 1000 metre in 80 seconds. What is the speed (in m/s) of the train?

Question 17

The speed of a boat in still water is 6 km/h. If the time taken to travel a distance opposite the stream is four times the boat takes travelling the same distance along the stream, then find the speed of stream:

Question 18

A boat can row 35 km upstream in 7 hours and the same distance downstream in 5 hours. What is the speed (in km/hr) of the boat in still water?

Question 19

A motorboat goes 24 km in 2 hours along the stream and 10 km in 1 hour against the stream. The speed of the motorboat in still water in kilometre per hour is:

Question 20

A man rows 40 km upstream in 8 hours and a distance of 36 km downstream in 6 hour Then speed of stream is

Question 21

In a class the ratio of rural to urban is 4 : 7. In an examination the average percentage marks of the rural and the urban students are respectively 65 and 63. What is the overall average percentage marks of the class (correct to two decimal places)?

Question 22

The number of students in a class is 45, out of which are boys and the rest are girls. The average score of girls in Science is more than that of boys. If the average score of all the students is 78, then the average score of girls is:

Question 23

The average of n numbers is 42. If 60% of the numbers are increased by 5 each and the remaining numbers are decreased by 10 each, then what will be the average of the numbers so obtained?

Question 24

Last week the average temperature of Roorkee on Tuesday, Wednesday and Thursday was 22 ° and the average on Wednesday, Thursday and Friday was 17 °. If the temperature on Tuesday was 17 °. Evaluate the temperature on Friday?

Question 25

What is the average of first 29 even numbers?

Question 26

In 6 minutes, of a bucket is filled. How much time will it take to fill the remaining bucket?

Question 27

One – third of a tank can be filled in 4 hours by pipe A and one – fourth of the same tank can be filled in 2 hours by pipe B. How long will it take for the tank to be filled if both the pipes are kept open?

Question 28

A cistern is filled by three inlet pipes A, B and C. Pipe B takes 5 hrs less than pipe A and 4 hrs more than pipe C. If pipes A and B together takes as much time as C alone to fill the empty cistern, how much time pipe A alone will take to fill the same empty cistern.

Question 29

Two inlet pipes A and B can fill a tank individually in 6 hrs and 8 hrs respectively. An outlet pipe C attached at bottom of tank can empty the tank in 12 hrs. When the tank is empty A and C are opened together. After an hour A is closed and B is opened, then again in an hour B is closed and A is opened, and continue in this way. How long will it take to fill the tank?

Question 30

Pipes A and B can fill a tank in 12 min and 15 min respectively. When A, B and An outlet pipe C Start together it take 20 min to fill the tank. If C take out 3 litres per min. What is the capacity of the tank?
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