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Question : The length, breadth, and height of a wooden box with a lid are 10 cm, 9 cm, and 7 cm, respectively. The total inner surface of the closed box is 262 cm2. The thickness of the wood (in cm) is:
Option 1: $2$
Option 2: $3$
Option 3: $\frac{23}{3}$
Option 4: $1$
Correct Answer: $1$
Solution : Given: Inner surface area = 262 cm2
The length, breadth, and height are 10 cm, 9 cm, and 7 cm, respectively.
Let the thickness of the wood be $x$ cm.
Surface area of the cuboid = 2(length × breadth + length × height + breadth × height)
Area of inner surface $= 2(9 - 2x)(10 - 2x) + 2(9 -2x)(7 - 2x) + 2(10- 2x)(7 - 2x)$
$⇒ 262 = 2(9 - 2x)(10 - 2x) + 2(9 -2x)(7 - 2x) + 2(10 - 2x)(7- 2x)$
Putting the value of $x = 1,$ the above equation is satisfied.
Hence, the correct answer is $1$.
Question : Which of the following statements are correct regarding the composition of the State Legislative Council as of December 2023?
A. The maximum strength of the Council is fixed at one-third of the total strength of the Assembly.
B. The minimum strength of the Council is fixed at 40.
C. A total of 5/6 of the total number of members of a Legislative Council are indirectly elected and 1/6 members are nominated.
D. The nominations (nominated members) made by the Governor can be challenged in the court.
Option 1: B, C and D only
Option 2: A, B and C only
Option 3: A, B, C and D
Option 4: A, B and D only
Correct Answer: A, B and C only
Solution : The correct answer is A, B and C only.
A state's Legislative Council may not have fewer than 40 members or more than one-third of the State Assembly's total membership, as stated in Article 171 of the Constitution. One-third or less of the State Legislative Assembly's members may comprise the State Legislative Council. Its membership must, however, be less than forty. The State Legislative Council's Chairman and Deputy Chairman are chosen by these members.
Question : Which of these Micro Finance Institutions (MFIs) are not regulated by the Reserve Bank of India (RBI)?
Option 1: Small finance bank-led MFIs
Option 2: Bank-led MFIs
Option 3: NBFC MFIs
Option 4: Non-profit MFIs
Correct Answer: Non-profit MFIs
Solution : The answer is Non-profit MFIs.
In general, microfinance institutions in India fall into three categories: mutual benefit, for-profit, and not-for-profit. Only non-banking financial businesses, or NBFC-MFIs, which are for-profit microfinance institutions, are subject to Reserve Bank of India (RBI) regulation.
Question : Directions: If 4 × 9 × 3 = 4 and 5 × 3 × 1 = 3, then 9 × 9 × 7 = ?
Option 1: 5
Option 2: 6
Option 3: 7
Option 4: 9
Correct Answer: 5
Solution : Given:
4 × 9 × 3 = 4, 5 × 3 × 1 = 3
The pattern in the equation→4 × 9 × 3 = 4 is 4 + 9 + 3 = 16 = 42
The pattern in the equation→5 × 3 × 1 = 3 is 5 + 3 + 1 = 9 = 32
Here, the sign × means +.
Using the same pattern in equation 9 × 9 × 7
The equation becomes –
9 + 9 + 7 = 25 = 52
Therefore, the square root of 25 is equal to 5.
Hence, the first option is correct.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
He was unable / to help me because / he had been failed / to arrange the money.
Option 1: to help me because
Option 2: to arrange the money
Option 3: he had been failed
Option 4: he was unable
Correct Answer: he had been failed
Solution : The error lies in the third option.
The error is in the phrase he had been failed. The verb failed in this context should be used in its active form, not in the passive form with been. The correct form should be he had failed, which means he did not succeed in arranging the money.
Therefore, the correct sentence is: "He was unable to help me because he had failed to arrange the money."
Question : When was the Gandhi Irwin Pact made ?
Option 1: 1935
Option 2: 1931
Option 3: 1929
Option 4: 1932
Correct Answer: 1931
Solution : The correct option is - 1931
The Gandhi-Irwin Pact, also known as the Delhi Pact, was signed on March 5, 1931. It was an agreement between Mahatma Gandhi and Lord Irwin, who was the Viceroy of India at the time. The pact marked a significant step in India's struggle for independence from British colonial rule.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
In case of a natural calamity, the shortage of essential things must be overcome in a short time.
(1) commodities
(2) consignments
(3) material
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The sentence can be improved using the first option.
This option is the correct choice because "commodities" is a more precise and appropriate term for essential items or goods, especially when discussing overcoming shortages during a natural calamity. It is a suitable replacement that enhances clarity and specificity.
The meanings of the other options are as follows:
- Consignments refer to shipments or deliveries of goods.
- Material is a broad term that may not sufficiently convey the idea of essential items or goods.
Therefore, the correct sentence is: In case of a natural calamity, the shortage of essential commodities must be overcome in a short time.
Question : Direction: In the following question, select the missing number from the given responses.
6 | 8 | 7 |
36 | 64 | 49 |
24 | 48 | 35 |
18 | 24 | ? |
Option 1: 17
Option 2: 18
Option 3: 19
Option 4: 21
Correct Answer: 21
Solution : Given:
6 | 8 | 7 |
36 | 64 | 49 |
24 | 48 | 35 |
18 | 24 | ? |
In the first column, 6 × 6 = 36 → 6 × 4 = 24 → 6 × 3 = 18
In the second column, 8 × 8 = 64 → 8 × 6 = 48 → 8 × 3 = 24
In the third column, 7 × 7 = 49 → 7 × 5 = 35 → 7 × 3 = 21
So, the missing number is 21.
Hence, fourth option is correct.
Question : In which five-year plan was the process of economic reform introduced in India?
Option 1: Tenth
Option 2: Fifth
Option 3: Eighth
Option 4: Sixth
Correct Answer: Eighth
Solution : The correct option is Eighth.
The 8th Five-Year Plan ran from 1992 to 1997. India's attempts to accomplish several socioeconomic goals and to advance economic development and progress were maintained under this plan. Among the main objectives and areas of concentration for the Eighth Five-Year Plan were:
1. Infrastructure Development: To promote economic growth, the strategy sought to advance infrastructure development in industries including telecommunications, electricity, and transportation.
2. Agricultural Growth: Three main objectives were to boost modern agricultural methods, enhance rural development, and increase agricultural output.
3. Industrial expansion: To strengthen the manufacturing sector and advance economic stability, industrial expansion and diversification should be encouraged.
Question : Select the word that is opposite in meaning (ANTONYM) to the word given below.
Incredible
Option 1: Strained
Option 2: Far-fetched
Option 3: Implausible
Option 4: Believable
Correct Answer: Believable
Solution : The correct choice is the fourth option.
The adjective "incredible" means something unbelievable, extraordinary, or difficult to believe due to being extraordinary or improbable.
Its antonym is the adjective "believable". It refers to something believable, which means it can be accepted as true or credible.
The meanings of the other options are as follows:
The adjective strained describes something that is stretched or forced, often indicating difficulty or tension.
The adjective far-fetched describes something unlikely and often requires a creative leap of the mind.
The adjective implausible describes something that is not likely to happen or be true; it doesn't seem reasonable or probable.
Therefore, the correct antonym is believable.