Mini Mock Test Math / Reasoning (Week 3)- 20.02.2022 for Other State PSC Exams

Question 1

The surface area (in sq.cm.) of a sphere with radius 3.5 cm is: (Take

)

Question 2

The difference between the length and breadth of a rectangle is 6 metre. If its perimeter is 64 metre, then its area is :

(A) 256 sq. metre (B) 247 sq. metre

(C) 264 sq. metre (D) 238 sq. metre

Select the correct answer using the codes given below:

Question 3

The length of one of the diagonals of a rhombus is 8 cm and its area is 64 cm². What will be the side length of the rhombus?

Question 4

Find the area of a triangle whose sides are 5 cm, 12 cm and 13 cm?

Question 5

Find the increase in circumference of a circle of radius 14 cm, if the radius is increased by 7 cm.

Question 6

Which two signs should be interchanged to make the given equation correct?

4 × 7 + 36 – 12 ÷ 6 = 25

Question 7

Which two signs do need to be interchanged to correct the following equation?

7 × 2 + 5 – 16 ÷ 4 = 13

Question 8

Which two signs should be interchanged to make the given equation correct?

14 + 4 ÷ 5 – 18 × 2 = 25

Question 9

Which two numbers should be interchanged to make the given equation correct?

36 x 12 + 48 ÷ 6 – 18= 202

Question 10

In the following question, correct the equation by interchanging two numbers.
3 – 4 + 12 × 6 ÷ 8 = 28

Question 11

Select the correct mirror image of the given figure when the mirror is placed at 'AB' shown.

Question 12

Select the correct mirror image of the given combination when the mirror is placed at ‘PQ’ as shown.

Question 13

Select the correct mirror image of the given combination when the mirror is placed at MN as shown.

Question 14

Select the correct mirror image of the given combination when the mirror is placed to the Right side of it.

Question 15

If a mirror is placed on the line MN, then which of the answer figures is the right image of the given figure ?

Question 16

A and B complete a work in 15 days and 10 days respectively. They started doing the work together but after 4 days B had to leave. Then A working with a new worker C completed the remaining work in 3 days. If C works alone, in how many days he can do 40% of the same work?

Question 17

5 men and 8 women can do a work in 6 days. 4 women can do the same work in 42 days. How many days it will take to complete the same work by a man?

Question 18

A, B and C together can finish a task in 7.5 days. C is thrice as efficient as A. B alone can do the task in 15 days. In how many days can A and C do the job if B goes on leave?

Question 19

A can complete one-third of a work in 10 days and B can do

of the same work in 24 days. They worked together for 10 days. The remaining work was completed by C alone in 15 days. In how many days can C alone do

of the same work?

Question 20

If A and B can do a piece of work in 8 days, B and C in 12 days and C and A in 16 days, then in how many days will A finish it when working alone?

Question 21

Sumit and Rohan started a business by investing the amount in the ratio 7 : 9. After 10 months Rohan leaves the business withdrawing his investment. In the first-year business made a profit of Rs. 23142. Find the share of Rohan in this profit.

Question 22

Amit is an active and Vimal is a sleeping partner in a business. Amit invests is Rs. 10,000 and Vimal invests Rs. 15000 . Amit receives 10% profit for managing, the rest being divide in proportion to their capitals. Out of the total profit of Rs. 5000 the money receive by Amit is-

Question 23

In a partnership business, B’s capitals was one third of A’s. If after 8 months, B withdrew one third of his capital and after two more months, A withdrew half of his capital. What is the profit ratio of A and B?

Question 24

A, B and C invest in a business in the ratio 4 : 5 : 7. C is a sleeping partner, so his share of profits will be half of what it would have been if he were a working partner. If they make Rs 36,000 profit of which 25% is reinvested in the business, how much does B get (in Rs)?

Question 25

A, B and C invested capital in the ratio 5 : 7 : 4, the timing of their investments being in the ratio x : y : z. If their profits are distributed in the ratio 45 : 42 : 28, then x : y : z = ?

Question 26

Study the information given below and answer the questions that follow:

I. Six friends Anil, Bharath, Ram, Dhilip, Karthi and Vijay are seated in a circle facing each other.

II. Anil is between Dhilip & Bharath and Vijay is between Ram and Karthi.

III. Ram is third to the left of Bharath.

Which of the following is the position of Anil in relation to Vijay?

Question 27

Rama is taller than Geetha. Vimala is taller than Rama but shorter than Meenu. Bindu is taller than Geetha but shorter than Rama. Who among the given people is the shortest?

Question 28

Read the following information carefully and answer the questions given below it:

i. Govind is shorter than Ashish but taller than Kamal.
ii. Naren is shorter than Kamal.
iii. Jeyanth is taller than Naren.
iv. Ashish is taller than Jeyanth.

Who among them is the tallest?

Question 29

Ram is taller than Shyam. Rahim is taller than Ram. Karim is taller than Shokat but smaller than Shyam. Who is the tallest?

Question 30

In a row of girls, Kamla is 9^th from the left and Veena is 16^th from the right. If they interchange their positions, Kamla becomes 25^th from the left. How many girls are there in the row?