CAPF (AC) 2021 (Paper-1) (Question 1-50)

Total Questions: 50

1. Eight metallic balls of one centimetre radius each are melted into one ball. The diameter of the new balls is

(a) 2 cm
(b) 6 cm
(c) 4 cm
(d) 1 cm

Correct Answer: (c) 4 cm

Solution:Let the radius of the new ball is 'R' cm.

Radius of the metallic balls = 1 cm.

According to the question,

4/3 π (1)³ 8 = 4/3 π (R)³

⇒ 8 R³

Taking cube root on both sides,

2 = R

⇒ R = 2cm

∴ Diameter of the new ball

= 2 × radius

= 2 × 2 = 4 cm.

2. The ratio of monthly incomes of A and B is 7: 10. The ratio of their expenditures is 2: 3. If each A and B saves ₹1,000 per month, then what will be the monthly income of B.

(a) ₹9,000
(b) ₹10,000
(c) ₹15,000
(d) 12,000

Correct Answer: (b) ₹10,000

Solution:Let the monthly income of A and B is 7x and 10x.

Then, according to the question,

(7x - 1000)/(10x - 1000) = 2/3

21x - 3000 = 20x - 2000

x = ₹ 1000

So, monthly income of B = 10 × 1000

= ₹10,000

3. A and B together can finish a job in 20 days. B and C together can finish the same job in 30 days. If A and C together can finish it in 24 days, in how many days can A alone finish the job?

(a) 35 2/7days
(b) 37 1/7days
(c) 34 2/7days
(d) 33 2/7days

Correct Answer: (c) 34 2/7days

Solution:(A & B) can finish the job = 20 days

(B & C) can finish the job = 30 days

(A & C) can finish the job = 24 days

Let total work is 120 units (LCM of 20, 30 and 24)

Then, efficiency of A & B = 120/20 = 6 unit/day

120 = 6 unit/day 120/30 = 4 unit/day

Efficiency of A & C = 120/24 = 5 unit/day.

∴ Efficiency of (A, B and C) together per day

= (6+4+5)/2 = 15/2 unit/day

∴ Efficiency of A

= Efficiency of (A + B + C) - Efficiency of (B+C)

= 15/2 - 4 = 7/2 unit/day

So, A alone finish the job

= (120/7/2) = 240/7 = 34 2/7 days.

4. A tree is at present 9 feet tall, If every year it grows 1/9th of its height, what will be the height of the tree after three years.

(a) 12 feet
(b) 12.34 feet
(c) 13 feet
(d) 13.10 feet

Correct Answer: (b) 12.34 feet

Solution:Present height of the tree = 9 feet.

∴ It grows every year = 1/9th of its height

∴ The height of the tree after 3 years

= 9 × 10/9 × 10/9 × 10/9

= 1000/81 = 12.345 = 12.34 feet

5. If first March of a year is Sunday, which day will be the first February of the next year?

(a) Friday
(b) Tuesday
(c) Saturday
(d) Monday

Correct Answer: (d) Monday

Solution:If first March of a year is Sunday, then first March of next year will be Monday.

∴ First February to First March There is no odd days left so, first February of the next year is 'Monday'.

6. Which one among the following statements is not correct?

(a) When the economy grows slowly than its potential, the unemployment rate rises.
(b) Structural employment occurs when jobs are eliminated by changes in demand for particular goods or due to automation.
(c) Recession in the economy leads to cyclical unemployment.
(d) At full employment, the measured unemployment rate is negative.

Correct Answer: (d) At full employment, the measured unemployment rate is negative.

Solution:

Structural unemployment arises when the qualification of a person is not sufficient to meet his job responsibilities.
Unemployment rates increase due to long-term demand changes, leading to slow economic growth and recession, while at full employment, the measured unemployment rate remains positive.

7. The amount by which the equilibrium level of real GDP exceeds the full employment level of GDP is called

(a) recessionary gap
(b) inflationary gap
(c) income multiplies
(d) automatic stabilizer

Correct Answer: (b) inflationary gap

Solution:An inflationary gap is a macroeconomic concept that measures the difference between the current level of real gross domestic product (GDP) and the GDP that would exist if an economy was operating at full employment.

8. For anything to be recognized as money, it needs to have which of the following characteristics?

1. Act as an intermediate in the exchange process

2. Standard unit for quoting prices

3. Must be easily divisible

4. Have higher value in alternative uses

Given the correct answer using the code given below.

(a) 1, 2 and 4
(b) 2 and 3 only
(c) 1, 2 and 3
(d) 1, 3 and 4

Correct Answer: (c) 1, 2 and 3

Solution:Money is defined as a unit of measure that is generally accepted and recognized as a medium of exchange in the economy.

Money serves as a medium of exchange, which means that money acts as an intermediary between the buyer and the seller.
Money must serve as a store of value. In a barter system, we saw the example of the shoemaker trading shoes for accounting services.
Money serves as a unit of account, which means that it is the ruler by which other values are measured.
Another function of money is that money must serve as a standard of deferred payment. This means that if money is usable today to make purchases, it must also be acceptable to make purchases today that will be paid in the future.

9. The sectoral shares of Gross Value Added (GVA) for the year 2009-10 to 2018-19 show that the share of service sector in GVA in India has increased over the years. Which among the following have driven the maximum increase?

(a) Electricity, gas water supply and other utility services
(b) Trade, hotel, transport, communication and services related to broadcasting
(c) Public administration, defence and other services
(d) Financial real estate and professional services

Correct Answer: (d) Financial real estate and professional services

Solution:Electricity, gas, water supply, and other utility services: While these sectors are important for the functioning of the economy, they do not contribute significantly to the increase in the share of the service sector in GVA.

Trade, hotel, transport, communication, and services related to broadcasting: This sector also plays a crucial role in the economy, but its contribution to the increase in the share of the service sector in GVA is not as significant.

Public administration, defence, and other services: While this sector has its own importance, it has not driven the maximum increase in the share of the service sector in GVA.

Financial, real estate, and professional services: This sector has seen substantial growth over the years, contributing significantly to the increase in the share of the service sector in GVA. The expansion of financial institutions, the booming real estate market, and the growth of professional services such as consulting, legal, and accounting have all contributed to this increase.

10. On the basis of employment conditions, the economy is divided into

(a) organized and unorganized sectors
(b) private and public sectors
(c) seasonal and disguised sectors
(d) primary, secondary and tertiary sectors

Correct Answer: (a) organized and unorganized sectors

Solution:On the basis of employment conditions, the activities in the economy are classified into organized and unorganized sectors.

→ Organized Sector: This sector covers those enterprises which are registered by the government and have to follow its rules and regulations. For example, Reliance Industries Ltd., GAIL etc.

→ Unorganized Sector: It includes those small and scattered units which are largely outside the control of the government. Though there are rules and regulations but these are never followed here. For example, casual workers in construction, shops etc. In this sector there is no job security and the conditions of employment are also very tough.

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