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 $1$.

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.

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.

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."

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.

Correct Answer: 21

Solution : Given: 

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.

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.

Correct Answer:

Solution : In the given figure, follow the directions to find the next figure –

Hence, the first option is correct.

Correct Answer: 5,3,4,2,1

Solution : Given: 1.Epilouge    2.Chapter    3.Index     4.Prolouge     5.Cover

Here,

A meaningful order for the given responses could be:

5. Cover, 3. Index, 4. Prologue, 2. Chapter, 1. Epilogue,

This order represents the typical sequence of sections in a book, starting with the cover, followed by the index, prologue, chapters, and finally the epilogue.

Hence, second option is correct.

Correct Answer: 10

Solution : The given figure can be labeled as shown below –

There are a total of 10 triangles in the above figure. They are AFE, EDG, EFG, EHN, HNM, EHM, HIJ, GML, GNK, HKL.

Hence, the third option is correct.