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Staff Selection Commission Combined Graduate Level Exam

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Question : If a + b + c = 0, the value of (a+ b3 + c3) is:

Option 1: abc

Option 2: 2abc

Option 3: 3abc

Option 4: 0

Team Careers360 26th Jan, 2024

Correct Answer: 3abc


Solution : Given: a + b + c = 0
a3 + b3 + c3 – 3abc = (a + b + c)(a2 + b2 + c2 – ab – bc – ca)
⇒ a3 + b3 + c

22 Views

Question : Select the most appropriate one-word substitution for the given words.
Safe to drink

Option 1: Delectable

Option 2: Potable

Option 3: Feasible

Option 4: Edible

Team Careers360 26th Jan, 2024

Correct Answer: Potable


Solution : The second option is the correct choice.

The meaning of the marked option is:

  • Potable: Safe to drink; drinkable.

The meanings of the other options are:

  • Delectable: Of food or drink delicious.
  • Feasible: Possible to do easily or conveniently.
  • Edible: Fit
11 Views

Question : Which of the following organisations was established in 1885?

Option 1: Communist Party of India

Option 2: Muslim League

Option 3: East India Organisation

Option 4: Indian National Congress

Team Careers360 26th Jan, 2024

Correct Answer: Indian National Congress


Solution : The correct answer is the Indian National Congress.

The Indian National Congress was established on December 28, 1885, and it was started by a retired British Civil Servant, A. O Hume. It was founded by a group of educated people in Bombay, with

12 Views

Question : Pathans in North-West India organised the society of Khudai Khidmatgars, popularly known as Red Shirt, under whose leadership?

Option 1: Muhammad Ali

Option 2: Mukhtar Ansari

Option 3: Khan Abdul Ghaffar Khan

Option 4: Hasrat Mohani

Team Careers360 27th Jan, 2024

Correct Answer: Khan Abdul Ghaffar Khan


Solution : The correct answer is Khan Abdul Ghaffar Khan.

The Red Shirt movement, also known as Khudai Khidmatgar (Persian for "Servants of God"), was founded in 1930 in India's North-West Frontier Province in support of the Indian National Congress. This organisation was

8 Views

Question : The value of $\frac{p^{2}- (q - r)^{2}}{(p + r)^{2} - (q)^{2}}$ + $\frac{q^{2} - (p - r)^{2}}{(p + q)^{2} - (r)^{2}}$ + $\frac{r^{2}- (p - q)^{2}}{(q + r)^{2} - (p)^{2}}$ is:

Option 1: 1

Option 2: 2

Option 3: 0

Option 4: 3

Team Careers360 26th Jan, 2024

Correct Answer: 1


Solution : $\frac{p^{2} - (q - r)^{2}}{(p + r)^{2} - (q)^{2}}$ + $\frac{q^{2} - (p - r)^{2}}{(p + q)^{2} - (r)^{2}}$ + $\frac{r^{2} - (p – q)^{2}}{(q + r)^{2} - (p)^{2}}$
= $\frac{(p + q - r)(p - q + r)}{(p + q + r)(p - q

15 Views

Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 26th Jan, 2024

Correct Answer:


Solution : According to the given figure series, in every alternate box, the geometrical figures/ numbers/ letters shift their position following the below pattern –
1. From Box 1 to Box 2 – Top centre ⇔ Bottom centre; Bottom left ⇔ Bottom right; Top left→Centre of the box→Top

16 Views

Question : Vinegar is

Option 1: Diluted acetic acid

Option 2: Glacial acetic acid

Option 3: Glacial formic acid

Option 4: Diluted formic acid

Team Careers360 26th Jan, 2024

Correct Answer: Diluted acetic acid


Solution : The correct answer is Diluted acetic acid.

Vinegar is a diluted acetic acid solution often comprising 4-8% acetic acid in water. Glacial acetic acid, on the other hand, is pure acetic acid in its concentrated state and often appears as a clear, colourless

36 Views

Question : Simplify the following expression:
$[\frac{85}{34}×\frac{1}{18}–${${{(\frac{46}{69}÷\frac{27}{135})}}–(\frac{86}{129}×\frac{91}{14})$} of $\frac{112}{36}]$

Option 1: $3 \frac{1}{5}$

Option 2: $3 \frac{3}{4}$

Option 3: $3 \frac{1}{2}$

Option 4: $3 \frac{1}{4}$

Team Careers360 26th Jan, 2024

Correct Answer: $3 \frac{1}{4}$


Solution : Given: $[\frac{85}{34}×\frac{1}{18}–${${{(\frac{46}{69}÷\frac{27}{135})}}–(\frac{86}{129}×\frac{91}{14})$} of $\frac{112}{36}]$
$=[\frac{85}{34}×\frac{1}{18}–${${{(\frac{46}{69}×\frac{135}{27})}}–(\frac{86}{129}×\frac{91}{14})$} of $\frac{112}{36}]$
$=[\frac{5}{2}×\frac{1}{18}–${${{(\frac{2}{3}×\frac{5}{1})}}–(\frac{1}{3}×\frac{13}{1})$} of $\frac{28}{9}]$
$=[\frac{5}{36}–${${{\frac{10}{3}}}–\frac{13}{3}$} ×$\frac{28}{9}]$
$=[\frac{5}{36}+{\frac{3}{3}}×\frac{28}{9}]$
$=[\frac{5}{36}+\frac{28}{9}]$
$=[\frac{5+112}{36}]$
$=\frac{117}{36} = 3 \frac{1}{4}$
Hence, the correct answer is $3 \frac{1}{4}$.

55 Views

Question : Identify the idiom/phrase that can best substitute the underlined segment.

I'm going to be in trouble if I don't submit my homework to the teacher.

Option 1: a devil's advocate

Option 2: off base

Option 3: the lion's share

Option 4: up the creek

Team Careers360 27th Jan, 2024

Correct Answer: up the creek


Solution : The fourth option is the correct choice.

The idiom, up the creek means to be in serious trouble or a predicament.

The meanings of the other options are as follows:

  • A Devil's advocate is a person who expresses an unpopular opinion in order
33 Views

Question : Identify the idiom/phrase that can best substitute the underlined segment.

You showed me your true personality when you asked me to get out of the house at midnight.

Option 1: true colours

Option 2: bed of roses

Option 3: hot potato

Option 4: white elephant

Team Careers360 27th Jan, 2024

Correct Answer: true colours


Solution : The first option is the correct answer.

Explanation:

  • True colours: A person's genuine character or intentions are often revealed when they face difficult situations.
  • Bed of Roses: A situation that is easy and comfortable.
  • Hot potato: It is a controversial or
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