All Questions

Staff Selection Commission Combined Graduate Level Exam

Get Updates
Showing 511 - 520 out of 16714 Questions
1504 Views

Question : A person can hit a target 5 times out of 8 shots. If he fires 10 shots, what is the probability that he will hit the target twice?

Option 1: $\frac{1135 \times 3^8}{8^{10}}$

Option 2: $\frac{1165 \times 3^8}{8^{10}}$

Option 3: $\frac{1175 \times 3^8}{8^{10}}$

Option 4: $\frac{1125 \times 3^8}{8^{10}}$

Team Careers360 26th Jan, 2024

Correct Answer: $\frac{1125 \times 3^8}{8^{10}}$


Solution : Probability of hitting = $\frac{5}{8}$
Probability of losing = $\frac{3}{8}$
Probability of hitting twice when 10 shots are fired
= 10C2$(\frac{5}{8})^2(\frac{3}{8})^8$
= $\frac{10×9×5×5}{1×2}$× $\frac{ 3^8}{8^{10}}$
= $\frac{1125 ×3^8}{8^{10}}$
Hence, the correct answer is $\frac{1125 ×3^8}{8^{10}}$.

12 Views

Question : If $ \frac{(5x\:-\:y)}{(5x\:+\:y)}=\frac{3}{7},$ what is the value of $\frac{(4x^{2}\:+\:y^{2}\:–\:4xy)}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$?

Option 1: $0$

Option 2: $\frac{3}{7}$

Option 3: $\frac{18}{49}$

Option 4: $\frac{1}{6}$

Team Careers360 27th Jan, 2024

Correct Answer: $0$


Solution : Given: $\frac{(5x\:-\:y)}{(5x\:+\:y)}=\frac{3}{7}$
$⇒35x-7y=15x+3y$
$⇒20x-10y=0$
$⇒2x-y=0$---------------(i)
$\frac{(4x^{2}\:+\:y^{2}\:-\:4xy)}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$
= $\frac{(2x\:-\:y)^{2}}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}$
Since from equation (i), we know $2x-y=0$, substituting the value in the above equation, we get,
$=\frac{0}{(9x^{2}\:+\:16y^{2}\:+\:24xy)}=$ 0
Hence, the correct answer is $0$.

48 Views

Question : The ordinary and maximum tolerance limit of sound by human being is:

Option 1: 50 dB to 70 dB  (decibel)

Option 2: 60 dB to 80 dB  (decibel)

Option 3: 65 dB to 75 dB  (decibel)

Option 4: 70 dB to 85 dB (decibel)

Team Careers360 27th Jan, 2024

Correct Answer: 60 dB to 80 dB  (decibel)


Solution : The correct option is 60 dB to 80 dB  (decibel).

A human's normal sound tolerance level is between 60 and 80 decibels (dB). Sounds exceeding 80 dB are potentially dangerous and can cause hearing damage or pain, especially if exposed

12 Views

Question : By which name is the historical road built by Sher Shah Suri known?

Option 1: Grand trunk road

Option 2: Expressway

Option 3: Highway

Option 4: Cart road

Team Careers360 27th Jan, 2024

Correct Answer: Grand trunk road


Solution : The correct option is Grand Trunk Road.

We refer to the ancient route Sher Shah Suri constructed as the "Grand Trunk Road." It is also known as the "G.T. Road" and is among the Indian subcontinent's oldest and longest road networks.

16 Views

Question : The Gross domestic product (GDP) estimation method measuring the aggregate value of goods and services produced by the firms is called _______.

Option 1: expenditure method

Option 2: consumption method

Option 3: income method

Option 4: product method

Team Careers360 27th Jan, 2024

Correct Answer: product method


Solution : The correct answer is the product method.

One method of calculating a nation's national income is the product or value-added method. The output or inventory method is another name for this system. It shows how each producing unit contributes to the production process. Value-added

48 Views

Question : If x + y = 7 and xy = 19, calculate the value of x+ y2.

Option 1: 17

Option 2: 12

Option 3: 11

Option 4: 19

Team Careers360 27th Jan, 2024

Correct Answer: 11


Solution : Given: x + y = 7 and xy = 19.
On squaring both sides of the equation x + y = 7, we get,
(x + y)2 = 72
⇒ (x+ y+ 2xy) = 49
⇒ x+

The question have been saved in answer later, you can access it from your profile anytime. Access now