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.

Correct Answer: $9\frac{1}{2}$ km/h

Solution : Given: Two places P and Q are 162 km apart. A train leaves P for Q and simultaneously, another train leaves Q for P. They meet at the end of six hours and the former train travels 8 km/h faster than the other.
Let the speed of the train from Q be x km/h.
Then the speed of the train from P is (x + 8) km/h.
Now in 6 hours the train from Q to P travels 6x km and 6(x + 8) km respectively.
Here, 6x + 6(x + 8) = 162
⇒ 12x = 162 – 48
⇒ x = $\frac{114}{12} = 9\frac{1}{2}$
Hence, the correct answer is $9\frac{1}{2}$ km/h.

Correct Answer: 761

Solution : Here, the given equations follows a pattern in which the first number, the middle number and the last number in LHS becomes the units place digit, the hundreds place digit and the tens place digit in the answer part in RHS respectively.

⇒ 5 x 4 x 0 = 405

⇒ 3 x 2 x 8 = 283

Following the same pattern in the unsolved equation, we get –

⇒ 1 x 7 x 6 = 761

Hence, option fourth is correct.

Correct Answer: 200 km

Solution : Let the speed of the boat in still water be $x$ km/hr and the speed of the current be $y$ km/hr.
Speed downstream = $x + y$
Speed upstream = $x - y$
Now, $\text{Time} = \frac{\text{Distance}}{\text{Speed}}$
$\frac{120}{x + y} + \frac{120}{x - y} = 30$....(1)
and$\frac{40}{x + y} + \frac{25}{x – y} = 7$ ....(2)
Multiplying equation (2) by 3, we get,
$\frac{120}{x + y} + \frac{75}{x – y} = 21$ ......(3)
Subtracting equation (3) from (1), we get,
$\frac{45}{x – y} = 9$
$⇒x - y = 5$.......(4)
Putting the value of $x - y$ in equation (2), we get,
$x + y = 20$ .......(5)
Solving these two equations, we get the values of $x$ and $y$.
$x = 12.5$ and $y = 7.5$
Distance covered by the boat in 16 hours in still water = 16 × 12.5 = 200 km
Hence, the correct answer is 200 km.