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Question : In a trapezium, one diagonal divides the other in the ratio $2:9$. If the length of the larger of the two parallel sides is 45 cm, then what is the length (in cm) of the other parallel side?

Option 1: $10$

Option 2: $5$

Option 3: $18$

Option 4: $14$

Team Careers360 23rd Jan, 2024

Correct Answer: $10$


Solution : In a trapezium, if one diagonal divides the other in the ratio $2:9$, then the parallel sides are divided in the same ratio. 
Given that the length of the larger parallel side is $45\;\mathrm{cm}$.
Let the length of the smaller parallel side be $x$.
$⇒\frac{x}{45}

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Question : Which of the following statements is correct?

I. Rolling friction is greater than the sliding friction.

II. The frictional force exerted by fluids is called drag.

Option 1: Only I is correct.

Option 2: Neither I nor II is correct.

Option 3: Both I and II are correct.

Option 4: Only II is correct.

Team Careers360 23rd Jan, 2024

Correct Answer: Only II is correct.


Solution : The correct option is Only II is correct.

Rolling friction is generally less than sliding friction. The frictional force exerted by fluids, such as air or water, is called drag. It opposes the motion of an object through the fluid, affecting

Question : Select the option that will improve the underlined part of the given sentence. In case no improvement is needed, select 'No improvement required.'

Amoeba is a microscopic single-celled organism found in pond water.

Option 1: organisms founding in

Option 2: No improvement required

Option 3: organism find in

Option 4: organisms found with

Team Careers360 24th Jan, 2024

Correct Answer: No improvement required


Solution : The correct choice is the second option.

The sentence "Amoeba is a microscopic single-celled organism found in pond water" is grammatically correct and clear.

Therefore, in the given sentence, there is no improvement required.

68 Views

Question : The average of 24 observations is 41. The average of the first 9 observations is 42. The average of the last 16 observations is 39. What is the value of the 9th observation?

Option 1: 14

Option 2: 24

Option 3: 18

Option 4: 20

Team Careers360 24th Jan, 2024

Correct Answer: 18


Solution : Given,
Average of 24 observations = 41
⇒ Sum of 24 observations = 41 $\times$ 24 = 984
Also, The average of the first 9 observations is 42.
⇒ Sum of first 9 observations = 42 $\times$ 9 = 378 ......(1)
And, The average of

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