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Mini Mock Test Math/ Reasoning (Week 2)- 15.05.2022

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Question 1

P is shorter than Q but taller than T. R is the tallest and S is shorter than P but not the shortest. Who is second last in the descending order of height?

Question 2

Among four friends, Govind is twice the age of Krishan. Nandu is half of the age of Krishan. Gwala is 6 years elder to Krishan, but 6 years younger to Govind. Who is the youngest?

Question 3

Kunal is elder to Rohit. Vivek is younger to Sushma, and Kunal is elder to Vivek. Who is the youngest?

Question 4

Sunil's position from the left in a row of boys is 20th and Deepak's position from the right is 36th. After interchanging their position, Sunil becomes 28th from the left. How many boys are there in the row?

Question 5

Rohit is ranked 18th from the top in his class. When counted from the bottom, he is ranked 36th. What is the total number of students in the class?

Question 6

A travels 10km towards East, then he takes left turn and travels 3km. He then takes right turn and travels 5km, he again takes right turn and travels 8km and finally takes right turn one more time and travels 3km. How far is he from his starting point and in which direction?

Question 7

A man walks 30 km towards South and turns left and walks 50 km. Then he walks 10 km North before he takes a left to walk 50 km. How far is he from the original place?

Question 8

From a point D, Sarita walked 50 metres to the north, then after turning to right walked 50 metres. She again turned right and walked another 70 metres and finally turned to right and walked 50 metres. In which direction and at what distance is she from the starting point D?

Question 9

Juhi walked 40m towards north to reach a coffee shop. She met with Pankaj at Coffee shop. From there, Pankaj moved 100 in west direction and Juhi took right turn and walked 60m. Now Pankaj took left turn and walked 40m and Juhi took right turn and walked 40m. Now the distance between Juhi and Pankaj is?

Question 10

Mani starts from college and walks 3 kms towards East, turns right and walks 2 kms, turns right again and walks. What is the direction he is now facing?

Question 11

How many meaningful English words can be made with all the letters of ITRM using each letter only once in each word?

Question 12

If each vowel of the word SILVER is changed to the previous letter in the English alphabetical series and each consonant is changed to the next letter in the English alphabetical series and then the alphabets thus formed are arranged in alphabetical order from left to right. Which of the following will be fourth from the Left?

Question 13

The positions of the first and the fourth letters of the word ‘ABSENT’ are interchanged. Similarly, the positions of the second and fifth letters and the third and sixth letters are interchanged. In the new arrangement thus farmed, how many letters are there between the letter which is third from the right and the letter which is first from the left in the English alphabetical series?

Question 14

How many such pairs of letters are there in the word DOMESTIC, each of which has as many letters between them in the word as they have in the English alphabet?

Question 15

If it is possible to make only one meaningful word with the second, third, sixth and eighth letters of the word BASEMENT, which of the following will be the third letter of that word. If no such word can be made, give 'X’ as your answer and if more than one such word can be formed, give ‘Y’ as the answer

Question 16

The sum of the radius of the base and slant height of a right circular cone is 49 cm. If the total surface area is 1848 cm2, then its height is:

(Take)

Question 17

The curved surface area of a right circular cone is 65 cm2 and the radius of its base is 5 cm. What is 40% of the volume of the cone, in cm3?

Question 18

Three cubes each having volume 1728 cm3 are placed one above the other. What is the total surface area of the resulting solid?

Question 19

The radius of the base of a cone and also that of a hemisphere each is 14 cm. also, the volumes of these two solids are equal. The curved surface area of the cone is:

Question 20

How many cubes with a side 10 cm can be cut of a cube having a side of 10 metre?

Question 21

If x + y + z = 1, xy + yz + zx = xyz = -4, then what is the value of (x3 + y3 + z3)?

Question 22

If , then what is the value of ?

Question 23

If x + y + z = 3, xy + yz + zx = –12 and xyz = –16, then the value of  is :

Question 24

If x + y = 3 and , then the value of (x2 +y2) is:

Question 25

If 2x2 – 7x + 5 = 0, then what is the value of ?

Question 26

The perimeter of a square is the same as the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then the area (in m2) of the rectangle is:

Question 27

A box has enough color to paint an area of 11.28 m2. How many boxes of dimension of 30 cm × 25 cm × 12 cm can be painted?

Question 28

One side of a rhombus is 13 cm and one of its diagonals is 10 cm. What is the area of the rhombus (in cm2)?

Question 29

If diagonals of a rhombus are 36 cm and 48 cm, then what is the perimeter (in cm) of the rhombus?

Question 30

Parallel sides of a trapezium are 26 cm and 40 cm and the area is 792 cm2. What is the value of the distance (in cm) between parallel sides?
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Sep 20Other State PSC