Mini Mock Test Math/ Reasoning (Week 2)- 13.03.2022 for Other State PSC Exams

Question 1

What was the first day of 13^th century?

Question 2

If 29 March 1985 was Friday then which day of the week was on 27 June 1991?

Question 3

How many odd days in 200 years?

Question 4

If Friday falls on 15^th of September 2000, what will be the day of 15^th of September 2001?

Question 5

If the 5th day of a month is Tuesday, what date will be 3 days from the 3rd Friday in the month?

Question 6

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:

Some books are novels.

No novel is a diary.

Conclusions:

I. No book is a diary.

II. All diaries are books.

III. No diary is a novel.

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:

No guest is trained.
All trained are employees.
Some employees are tall.

Conclusions:

I. Some tall are trained.
II. Some employees are trained.
III. No tall is a guest.

Question 8

In the following question, some statements followed by some conclusions are given. 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 conclusions logically follows the given statements.
Statement:
All green is mango.
Some mango are Yellow.
No yellow is Apple.
Conclusion:
(I). All yellow can never be green.
(II). All green can never be apple is a possibility.

Question 9

Read the given statement(s) 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 statement(s).

Statements:
All singers are dancers.
No dancer is a plumber.

Conclusions:
I. No plumber is a singer.
II. Some singers are plumbers.
III. Some dancers are singers.

Question 10

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

Statements :
1. No squares are rectangles.
2. All rectangles are triangles.

Conclusions :
I. Some triangles are squares.
II. Some triangles are rectangles.

Question 11

There are five different coloured boxes numbered from 1 to 5. The colours of boxes are white, green, pink, black and yellow (not necessarily in same order). Number of pink coloured box is smallest prime number. Green and white coloured boxes are numbered with odd numbers and white box’s number is higher than green box’s number. Yellow coloured box number is equal to the average of given five numbers. What is the number of black box?

Question 12

Five girls are sitting in a straight line. Mira is sitting to the left of Shalu and to the right Savita. Reena is sitting to the right of Shalu. Kavya is between Shalu and Reena. Who is sitting 2^nd from the right end?

Question 13

8 friends are sitting in two parallel lines, four in each line facing each other. P, Q, R and S are sitting in one row not necessarily in same order. R is sitting second right to S. C is sitting right to the person who is faces S. Q and B are sitting at one of the ends of their respective lines. D is sitting in the middle of A and B. Who is sitting opposite of P?

Question 14

Compare the salary of employees B, R, G, A, and M in relation to each other:

M gets more salary than A and G. R’s salary is less than three persons. B’s salary is the lowest.

Whose salary is the second lowest?

Question 15

Six employees L, N, P, R, T and V are sitting around a circular table facing towards the centre (not necessarily in the same order). V is second to the left of N. L is to the immediate left of P. R is second to the left of P. P is third to the right of N. Who is sitting to the immediate right of V?

Question 16

A spends 80% of her income. When her income is increased by 30%, she increases her expenditure by 30%. By what percentage are her savings increased or decreased?

Question 17

In an election between two candidates X and Y, X gets 70% of the total valid votes. If total votes were 50000 and 20% of the total votes were declared invalid, then find the number of votes secured by candidate Y?

Question 18

A man spends 16.66% of his salary on rent, 60% of rest of the salary on food and 75% of rest of the salary on travelling. After all the expenses, he left with Rs. 10000 only. Find his annual salary.

Question 19

A box contains 150 red balls, 25 blue balls and 25 black balls. If 20% of black balls and 20% of the blue balls were taken out of the box, then how many percentages of black ball remaining?

Question 20

In an examination it is required to get 35% of the aggregate marks to pass. Rohan got 216 marks and declared failed by 5% marks then what was the total marks?

Question 21

If x⁴ + x^–4 = 194, x > 0 then the value of x +

is:

Question 22

If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of x³ + y³ + z³ + xyz is:

Question 23

If a³ + b³ = 217 and a + b = 7, then the value of ab is:

Question 24

If ab + bc + ca = 8 and a + b + c = 12 then (a² + b² + c²) is equal to:

Question 25

If a² + b² = 5ab then the value of

is:

Question 26

Pipes A and B can fill a tank in 8 hours and 12 hours, respectively, whereas pipe C can empty the full tank in 6 hours. A and B are opened for 3 hours and then closed and C is opened instantly. C will empty the tank in:

Question 27

Tap A can fill a tank in 20 hours and tap B can fill the same tank in 30 hours. If both taps are opened together, then how much time will be taken to fill the tank?

Question 28

Two pipes A and B can fill an empty tank in 10 hours and 16 hours respectively. They are opened alternately for 1 hour each, opening pipe B first. In how many hours, will the empty tank be filled?

Question 29

Two pipes can fill a tank in 20 and 24 min, respectively and a waste pipe can empty 6 gallon per min. All the three pipes working together can fill the tank in 15 min. Find the capacity of the tank:

Question 30

P and Q can fill a water tank in 9hr and 12 hr, respectively but R can empty it in 18 hr. Pipes P, Q and R start at 2 PM, 3PM and 4 PM, respectively. At what time, the tank will be completely filled?