Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Were I the president (1) / I would award (2) / you a title. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
The sentence is well structured. It is grammatically correct and conveys the intended meaning that if the speaker were the president, he would award a title to the person.
Therefore, the given sentence contains no errors.
Question : A man standing on the bank of a river observes that the angle subtended by a tree on the opposite bank is 60°. When he retreats 36 m from the bank, he finds that the angle is 30°. The breadth of the river is:
Option 1: 15 metres
Option 2: 18 metres
Option 3: 16 metres
Option 4: 11 metres
Correct Answer: 18 metres
Solution : Let the breadth of the river be AC = $x$ metres Clearly $\tan 30°=\frac{AB}{AD}=\frac{h}{x+36}$ ⇒ $\tan 60°=\frac{AB}{AD}=\frac{h}{x}$ ⇒ $\frac{\tan 60°}{\tan 30°}=\frac{\frac{h}{x}}{\frac{h}{x+36}}$ ⇒ $\frac{\sqrt3}{\frac{1}{\sqrt3}}=\frac{x+36}{x}$ ⇒ $3x=x+36$ ⇒ $x=18$ m Hence, the correct answer is 18 metres.
Question : Select the most appropriate synonym of the word given in brackets to fill in the blank.
He is very_ (Eager) to join the Air Force.
Option 1: irksome
Option 2: keen
Option 3: dubious
Option 4: unconcerned
Correct Answer: keen
Solution : The correct answer is the second option.
The word eager suggests enthusiasm or a strong desire to do something, and the word keen means having a strong or enthusiastic interest or desire. So, keen is the most appropriate synonym.
The meanings of the other options
Question : Select the most appropriate indirect form of the given sentence.
Rahul said to his mother, “When will you come back?”
Option 1: Rahul asked his mother when she would come back.
Option 2: Rahul told his mother to come back.
Option 3: Rahul asked his mother whether she was coming back.
Option 4: Rahul asked his mother when would you come back.
Correct Answer: Rahul asked his mother when she would come back.
Solution : The first option is the correct choice.
Narration Conversion:
Question : If $\sin^2 \theta \cos^2 \theta=\frac{2}{9}$, then what will be the value of $\operatorname{cosec}^2 \theta+\sec ^2 \theta$?
Option 1: $\frac{7}{2}$
Option 2: $\frac{5}{2}$
Option 3: $\frac{9}{2}$
Option 4: $9 \sqrt{2}$
Correct Answer: $\frac{9}{2}$
Solution : Given, $\sin^2 \theta \cos^2 \theta=\frac{2}{9}$ Now, $\operatorname{cosec}^2 \theta+\sec ^2 \theta = \frac{1}{\sin^2 \theta} + \frac{1}{\cos^2 \theta}$ $⇒\operatorname{cosec}^2 \theta+\sec ^2 \theta = \frac{\sin^2 \theta+\cos^2 \theta}{\sin^2 \theta \cos^2 \theta}$ We know that $\sin^2 \theta+\cos^2 \theta=1$ So, $\operatorname{cosec}^2 \theta+\sec ^2 \theta = \frac{1}{\frac{2}{9}}$ $\therefore\operatorname{cosec}^2 \theta+\sec ^2 \theta =
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
A couple of minutes later, a woman comes running towards the desk. As soon as she sees the little girl, she shouts and (1)_______ up to her. She lifts the girl into her arms and holds her very tight. Then she separates herself from her daughter and looks at her (2)_______ while she says, "I am here, Andrea. Everything is okay. I love you, honey." Then she turns and (3)_______ the man. "Thank you so much, sir," she says. "We got separated in the crowd earlier. My daughter is deaf, so I could not make an (4)________ over the speakers for her. I was looking for her everywhere. I was so worried!". Now the man understands why the little girl did not look at him until he (5)_______ her shoulder.
Select the most appropriate option to fill in the blank number 3.
Option 1: opts
Option 2: discreet
Option 3: greets
Option 4: rejects
Correct Answer: greets
Solution : The correct choice is the third option.
Greets is the correct choice, as the woman is expressing her gratitude and admiration for the man by greeting.
Question : If a + b = 8, ab = 10, then the value of a3 + b3 is:
Option 1: 312
Option 2: 215
Option 3: 272
Option 4: 111
Correct Answer: 272
Solution : Given: a + b = 8, ab = 10, We know that, (a + b)3 = a3 + b3 + 3ab(a + b) ⇒ (8)3 = a3 + b3 + 3 × 10 × 8 ⇒ 512 = a
Question : Major South-West Asian oil fields are located in
Option 1: Shore regions of persian Gulf
Option 2: Euphratis- Tigris Basin
Option 3: Arabian Desert
Option 4: Rub-al-Khali Desert
Correct Answer: Shore regions of persian Gulf
Solution : The correct answer is Shore regions of persian Gulf
The biggest South-West Asian oil reserves are, fact, concentrated around the Persian Gulf's coast. These nations have huge oil resources along the Persian Gulf's coastline, and their oil production and exports have
Question : Select the most appropriate option for the given group of words.
A set of rooms specially in a hotel for the use of one person or his family
Option 1: Suite
Option 2: Flat
Option 3: Apartment
Option 4: Abode
Correct Answer: Suite
Solution : The correct choice is the first option.
A suite typically refers to a set of connected rooms, often including a bedroom, a living area, and sometimes a kitchenette, designed for the comfort and convenience of a single person or a family. It is a term
Question : If interest is compounded half-yearly, then find the compound interest on INR 8,000 at the rate of 20% per annum for 1 year.
Option 1: INR 1,675
Option 2: INR 1,690
Option 3: INR 1,685
Option 4: INR 1,680
Correct Answer: INR 1,680
Solution : Given: Total sum = INR 8000, rate = 20% per annum and time = 1 year. Here, the interest is compounded half-yearly, So, interest rate (r) = $\frac{20}{2}$ = 10%, time (n) = 2, principle (p) = INR 8000 Compound interest (CI) = $p[(1+\frac{r}{100})^n-1]$
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