Staff Selection Commission Combined Graduate Level Exam
Question : If a + b + c = 0, the value of (a3 + b3 + c3) is:
Option 1: abc
Option 2: 2abc
Option 3: 3abc
Option 4: 0
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
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
Correct Answer: Potable
Solution : The second option is the correct choice.
The meaning of the marked option is:
The meanings of the other options are:
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
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
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
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
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
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
Question : Directions: Select the figure that will replace the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
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
Question : Vinegar is
Option 1: Diluted acetic acid
Option 2: Glacial acetic acid
Option 3: Glacial formic acid
Option 4: Diluted formic acid
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
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: $3 \frac{1}{4}$
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 $3 \frac{1}{4}$.
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
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:
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
Correct Answer: true colours
Solution : The first option is the correct answer.
Explanation:
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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