Reasoning Questions and Answers

View in English View in Hindi

A kid was playing with a basket with 65 toys inside it. He took 25 from it but put 18 back to the basket. Then again he took 22 out but put 17 back into the basket. Lastly, he took 18 toys out from the basket. So, how many toys are there inside and outside the basket?

A)
Inside27,Outside38

B)
Inside30,Outside35

C)
Inside35,Outside30

D)
Inside37,Outside28


Correct Answer :

Inside35,Outside30

All the faces of the cube of side 15 cm are painted in red, then it is divided into smaller cubes of 3 cm. How many smaller cubes have only two surface painted?

A)
24

B)
36

C)
16

D)
18


Correct Answer :

36


Explanation :


A cube of side 15 cm is cut into smaller cube of side 3 cm. So, one side of big cube equals 5 sides of smaller cube.
The big cube divided into 5 x 5 x 5 = 125 smaller cubes.
There are 8 original corners on the original cube having 3 painted sides = 8 cubes
There are 12 edges on the original cube, each edge has 3 cubes with 2 painted sides, 12 edges *3 cubes = 36 cubes
There were 6 faces, each with 4 cubes with one painted side, 6 faces *9 cubes = 54 cubes
Therefore, cubes which don't have any coloured side= 125 - 8 - 36- 54 = 27 cubes

A, B & C start running at the same time and in the same direction on a circular path. A completes a round in 252 seconds, B in 308 seconds and C in 198 seconds. After what time will they all meet again for the first time?

A)
26 minutes 18 seconds

B)
42 minutes 36 seconds

C)
45 minutes

D)
46 minutes 12 seconds


Correct Answer :

46 minutes 12 seconds


Explanation :

A, B and C will meet again =L.C.M. of 252, 308 and 198 seconds
that is
252 = 2 * 2* 3 * 3 * 7
308 = 2 * 2 * 7 * 11
198 = 2 * 3 * 3 * 11
So, LCM = 2 * 2* 3 * 3 * 7 * 11 = 36 * 77 seconds = 2772 seconds i.e., 46 min. 12 sec

A cube of side 12 cm is painted red on all faces and cut into smaller cubes each of 3 cm each. What is the total number of smaller cubes having none of their faces painted?

A)
8

B)
12

C)
16

D)
24


Correct Answer :

8


Explanation :

A cube of side 12 cm is cut into smaller cube of side 3 cm. So, one side of big cube equals 4 sides of smaller cube.
The big cube divided into 4 x 4 x 4 = 64 smaller cubes.
There are 8 original corners on the original cube having 3 painted sides = 8 cubes
There are 12 edges on the original cube, each edge has 2 cubes with 2 painted sides,12 edges *2 cubes =24 cubes
There were 6 faces, each with 4 cubes with one painted side, 6 faces *4 cubes = 24 cubes
Therefore, cubes which don't have any coloured side= 64 - 8 - 24 - 24 = 8 cubes

In a dance performance 5 kids are performing standing in a row. G is to the left of H and to the right of I. J is to the right of K but to the left of I. Who is standing in the middle?

A)
I

B)
J

C)
K

D)
G


Correct Answer :

I


Explanation :
K J I G H

According to position I is standing in middle.

Latest Updates

General Knowledge of MP

Under the Madhya Pradesh Ladli Laxmi Yojana, the beneficiary is paid the total amount on attaining the age of ?

Indian Politics

Who appoints the Chairman and the Members of the Union Public Service Commission?

General Knowledge of World

Which country will host the 2022 Football World Cup?

Area

The angles of a triangle are in the ratio 2 : 4 : 3. The smallest angle of the triangle is?

Which one of the following triples does not represent the sides of a triangle?

If the perimeter of a rectangle is 10 cm and the area is 4 cm2, then its length is?

Height and Distance

An aeroplane flying at a height of 300 m above the ground passes vertically above another plane at an instant when the angles of elevation of the two planes from the same point on the ground are 60º and 45º respectively. What is the height of the lower plane from the ground?

From the top of a building 90 m high, the angles of depression of the top and the bottom of a tree are 30º and 45º respectively. What is the height of the tree?

Trigonometry

What is the value of sinx √( 1 /1+cosx + 1 /1-cosx ) ?

What is cos4 A - sin4 A / cos2 A - sin2 A equal to?

If 7sin2 x +3cos2 x = 4, 0 < x < 90º ,then what is the value of tan x?

If x = a cosθ + b sinθ and y = a sinθ - b cosθ then what is x2 + y2 equal to?

Average

The mean of 5 numbers is 15. If one more number is included, the mean of the 6 numbers becomes 17. What is the included number?

The mean marks obtained by 300 students in a subject are 60. The mean of top 100 students was found to be 80 and the mean of last 100 students was found to be 50. The mean marks of the remaining 100 students are?

In an asymmetrical distribution, of the mean and median of the distribution are 270 and 220 respectively, then the mode of the data is?

Let a, b, c, d, e, f, g be consecutive even numbers and j, k, l, m, n be consecutive odd numbers. What is the average of all the numbers?

Alligation or Mixture

25 kg of alloy X is mixed with 125 kg of alloy Y. If the amount of lead and tin in the alloy X is the ratio 1 : 2 and the amount of lead and tin in the alloy Y is in the ratio 2 : 3, then what is the ratio of lead to tin in the mixture?

Simplification

The ratio of two numbers is 1 : 5 and their product is 320. What is the difference between the square of these two numbers?