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Staff Selection Commission Combined Graduate Level Exam

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Question : The breadth ‘b’ of a room is twice its height and half of its length. Find the length of the longest diagonal of the room.

Option 1: $\frac{\sqrt{20} \mathrm{~b}}{2}$

Option 2: $\frac{\mathrm{b}}{2}$

Option 3: $\frac{\sqrt{21} \mathrm{~b}}{2}$

Option 4: $\frac{\sqrt{19} \mathrm{~b}}{2}$

Team Careers360 14th Jan, 2024

Correct Answer: $\frac{\sqrt{21} \mathrm{~b}}{2}$


Solution : According to the question,
b = 2 × height
⇒ Height = $\frac{1}{2}$b
Also, b = $\frac12\times$length
⇒ Length = 2b
Length of the diagonal
$=\sqrt{l^2+b^2+h^2}$
$=\sqrt{(2b)^2+b^2+(\frac12b)^2}$
$=\sqrt{4b^2+b^2+\frac {b^2}{4}}$
$=\sqrt{\frac{16b^2+4b^2+b^2}{4}}$
$=\sqrt{\frac{21b^2}{4}}$
$=\frac{\sqrt{21}b}{2}$
Hence, the correct answer is $\frac{\sqrt{21}b}{2}$.

23 Views

Question : Which country has three capitals viz. Administrative , Legislative and Judicial ?

Option 1: Chile

Option 2: Malaysia

Option 3: Canada

Option 4: South Africa

Team Careers360 8th Jan, 2024

Correct Answer: South Africa


Solution : The Correct Answer is South Africa

There are three capital cities in South Africa: the Administrative, Legislative, and Judicial. The legislative capital is Cape Town, where the Parliament is located, while Pretoria is the administrative capital. The capital of justice has historically been regarded

22 Views

Question : Select the most appropriate synonym of the given word.

SENTIMENT

Option 1: Antipathy

Option 2: Concrete

Option 3: Hatred

Option 4: Feeling

Team Careers360 19th Jan, 2024

Correct Answer: Feeling


Solution : The correct choice is the fourth option.

The term sentiment generally refers to a thought, feeling, or attitude, often expressed subjectively and emotionally. Among the options provided, feeling is the most suitable synonym for "sentiment".

The meanings of other words are as follows:

  • Antipathy:
202 Views

Question : A bag contains INR 550 in the form of 50 p, 25 p, and 20 p coins in the ratio 2 : 3 : 5. The difference between the amounts that are contributed by the 50 p and the 20 p coins is:

Option 1: INR 30

Option 2: INR 20

Option 3: INR 10

Option 4: INR 0

Team Careers360 10th Jan, 2024

Correct Answer: INR 0


Solution : Given:
A bag contains INR 550 in the form of 50 p, 25 p, and 20 p coins in the ratio 2 : 3 : 5.
So, the ratio of the amount contributed = 100 : 75 : 100= 4 : 3 : 4

8 Views

Question : __________ emerged as the poorest state as per the first-ever Multidimensional Poverty Index (MPI) prepared by NITI  Aayog and launched in November 2021.

Option 1: Bihar

Option 2: Madhya Pradesh

Option 3: Uttar Pradesh

Option 4: Mizoram

Team Careers360 18th Jan, 2024

Correct Answer: Bihar


Solution : The correct option is Bihar

In November 2021, the government think tank NITI  Aayog unveiled the inaugural Multidimensional Poverty Index (MPI) to assess poverty at national, State/UT, and district levels. According to the first-ever index, Bihar has been identified as the state with the highest

8 Views

Question : Select the most appropriate ANTONYM of the given word.
Bulk

Option 1: Handful

Option 2: Heavy

Option 3: Staple

Option 4: Brunt

Team Careers360 16th Jan, 2024

Correct Answer: Handful


Solution : The first option is the correct choice.

Handful means a small quantity that can be held in one hand. In contrast to bulk, which refers to a large mass or volume, a handful is a small amount.

The meanings of the other options are as

11 Views

Question : Directions: Which of the following numbers will replace the question mark (?) in the given series?
97, 131, 165, 199, 233, ?

Option 1: 260

Option 2: 273

Option 3: 251

Option 4: 267

Team Careers360 12th Jan, 2024

Correct Answer: 267


Solution : Given:
97, 131, 165, 199, 233, ?

Add 34 to each number to get the next number of the series.
97 + 34 = 131,131 + 34 = 165, 165 + 34 = 199, 199 + 34 = 233, 233 + 34 = 267

So,

39 Views

Question : A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days. B alone can do the whole work in:

Option 1: 16 days

Option 2: 24 days

Option 3: 28 days

Option 4: 29 days

Team Careers360 7th Jan, 2024

Correct Answer: 24 days


Solution : Given:
A person can do a piece of work in 18 days. He worked at it for 12 days and B finished the remaining work in 8 days.
⇒ In 1 day A can do $\frac{1}{18}$th part of the work
⇒ In 12 days

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