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Mini Mock Test Math/ Reasoning (Week 4)- 27.02.2022

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Question 1

In the following question, two statements are given followed by two conclusions I and II You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

Statements :

1. All pens are papers.
2. No eraser is a paper. 
Conclusions :
I. No eraser is a pen.
II. Some papers are pens.

Question 2

Direction: 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:

All wheat is bread.
All bread is pulses.

Conclusions:

I. No pulses is wheat.
II. All bread is wheat.

Question 3

In each of the following questions, two statements are given followed by two conclusions I and II. You have to consider the two statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follow from the given statements.

Statements :

(1) All books are novels.
(2) Some novels are poems.

Conclusions :
I. Some books are poems.
II. Some poems are novels.

Question 4

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 conclusion logically follow(s) from the statements.

Statements:
1) All men are animals.
2) No man is a bird.
Conclusions:
I. All animals are birds.
II. All animals are men.

Question 5

Two statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.

Statements:

All roads are cycles.

No cycle is a car.

Conclusions:

I. Some cycles are roads.

II. No road is a car.

III. No car is a cycle.

Question 6

When the following figure is folded to form a cube, how many dots lie opposite the face bearing three dots?

Question 7

Select the box that CAN be formed by folding the given unfolded box.


Question 8

In the given figures what will come opposite to face containing ‘>’.

Question 9

Three different positions of the same dice are shown, the six faces of which are numbered from 1 to 6. Select the number that will be on the face opposite to the one showing ‘6’.

Question 10

Two different situations of the same dice are shown. If the number 4 is on the lower board, then what will be the number on the upper board?

Question 11

Eight friends A, B, C, D, E, F, G and H are sitting in the straight line, all facing the North. F is sitting between D and G. B is sitting between H and A. E is third to the left of G, who is sitting at one of the corners. H is third to the left of C. Who is sitting between A and E?

Question 12

Two teams, consisting of 3 players in each team, are participating in a debate competition. Three players in one team are sitting facing the three players of the other team. K and L are sitting facing each other. N and O are in different teams. M is sitting facing N. P is at one of the corners. N is sitting to the immediate right of L.

Which of the following are members of the same team?

Question 13

Five students, J, K, L, M and N are sitting on a bench facing the blackboard. K is sitting to the immediate right of M, who is sitting at the extreme left. If J is to the immediate left of L but exactly right of N, then who is sitting in the middle of the bench?

Question 14

Eight friends A, B, C, D, E, F, G and H are sitting at equal distances from each other in the same sequence around a circular table in clockwise direction facing the centre. If D is facing southwest, then who is sitting third to the right of H?

Question 15

A train can travel 25% faster than a car. Both start from point A at the same time and reach point B 165 km away at the same time. On the way the train takes 40 minutes for stopping at the stations. What is the difference in the speeds (in km/hr) of train and car ?

Question 16

A train travelling at the speed of x km/h crossed a 300 m long platform in 30 seconds, and overtook a man walking in the same direction at 6 km/h in 20 seconds. What is the value of x ?

Question 17

The speed of two railway engines is in the ratio 5 : 4. If they move on parallel tracks in the same direction and if the slower engine is ahead of the faster engine by 8 km when the latter starts, then how far will the faster engine have to travel before it overtakes the slower one?

Question 18

Two trains running in opposite directions on parallel tracks, at speeds of 42 km/h and 57 km/h, take 18 seconds to cross each other. If the length of one train is 270 m, then the length of the other train is:

Question 19

A train of length 230 m has to cross a platform of length 750 m. If the speed of the train is 72 km/h, then find the time taken by train to cross the platform.

Question 20

A courier boy started from his office at 8:30 AM to deliver a parcel. He rode his bike at a speed of 36 km/h. He delivered the parcel and waited for 5 minutes to get the payment. After the payment was made, he reached his office at 10.14 AM, travelling at a speed of 45 km/h. What is the total distance travelled by the courier boy?

Question 21

A car covers a distance of 48 km at a speed of 40 km/h and another 52 km with a speed of 65 km/h. What is the average speed of the car (in km/h) for the total distance covered?

Question 22

One-fifth of a journey is covered at a speed of 30 km/h, one-fourth of the journey at a speed of 25 km h and the rest at 60 km/h. What is the average speed (in km/h, correct to one decimal place) for the whole journey?

Question 23

Two cars travel from city A to city B at a speed of 42 and 60 km/hr respectively. If one car takes 2 hours lesser time than the other car for the journey, then the distance between City A and City B is :

Question 24

Rahul and Mithun travel a distance of 30 km. The sum of their speeds is 70 km/h and the total time taken by both to travel the distance is 2 hours 6 minutes. The difference between their speeds is:

Question 25

If the volume of a sphere is cm3, then its radius is:

(Take )

Question 26

The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 cm2, then its radius is:

Question 27

How many bricks each measuring 64 cm × 11.25 cm × 6 cm, will be needed to build a wall measuring 8 m × 3 m × 22.5 m?

Question 28

A right prism stands on a base 6 cm equilateral triangle and its volume is The height (in cms) of the prism is

Question 29

The volume of a right circular cone is 462 cm3. If its height is 12 cm, then the area of its base (in cm2) is:
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May 19Other State PSC