Staff Selection Commission Combined Graduate Level Exam
Question : $\triangle PQR$ is right-angled at $Q$. The length of $PQ$ is 5 cm and $\angle P R Q=30^{\circ}$. Determine the length of the side $QR$.
Option 1: $5 \sqrt{3}~cm$
Option 2: $3 \sqrt{3}~cm$
Option 3: $\frac{1}{\sqrt{3}}~cm$
Option 4: $\frac{5}{\sqrt{3}}~cm$
Correct Answer: $5 \sqrt{3}~cm$
Solution : $\angle PRQ$ = 30° ⇒ $\tan 30° = \frac{PQ}{QR}$ ⇒ $\frac{1}{\sqrt3} = \frac{5}{QR}$ ⇒ $QR = 5\sqrt{3}$ cm Hence, the correct answer is $5\sqrt{3}~cm$.
Question : The total surface area of a cylinder is 4092 cm2 and the diameter of its base is 21 cm. What is 50% volume (in cm3) of the cylinder (nearest to an integer)?
Option 1: 8832
Option 2: 8822
Option 3: 8922
Option 4: 8932
Correct Answer: 8922
Solution :
The diameter of the base = 21 The radius of the base, $r$ = $\frac{21}{2}$ Let $h$ be the height. According to the question, Total surface area of cylinder = $2\pi r(r + h)$ ⇒ $2 \times \frac{22}{7} \times \frac{21}{2}(\frac{21}{2} + h) = 4092$ ⇒
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer. The work was ____ by the rains.
Option 1: restricted
Option 2: prevented
Option 3: hampered
Option 4: obstructed
Correct Answer: hampered
Solution : The correct choice is the third option.
"Hampered" is impeding or slowing down the progress or development of something.
The meanings of the other options are as follows:
"Restricted" is limited or confined, usually by rules, regulations, or constraints.
"Prevented" is stopped or hindered from
Question : Directions: Which of the answer figures is the exact mirror image of the given problem figure when the mirror is held on the right side?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : Directions: If FRIEND is coded as HUMJTK, how can CANDLE be written in that code?
Option 1: EDRIRL
Option 2: ESJFME
Option 3: DCQHQK
Option 4: DEQJQM
Correct Answer: EDRIRL
Solution : Given: FRIEND is coded as HUMJTK.
Add consecutive natural numbers to the place value of the letters of the given words to get the code. FRIEND is coded HUMJTK – F + 2 = H; R + 3 = U; I + 4 = M;
Question : Suresh, Dinesh, and Ramesh became partners in a business by investing money in the ratio of 3 : 6 : 8. If their investments are increased by 5%, 15%, and 20%, respectively, then what will be the ratio of their profits for one year?
Option 1: 7 : 46 : 64
Option 2: 19 : 46 : 64
Option 3: 21 : 46 : 64
Option 4: 35 : 46 : 64
Correct Answer: 21 : 46 : 64
Solution : The initial ratio of their investment = 3 : 6 : 8 Let the investment by Suresh be $3x$. Investment by Dinesh is $6x$. And, Investment by Ramesh is $8x$. Now, their investments are increased by 5%, 15%, and 20% respectively.
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. Blind by a dust storm, they fell into disorder.
Option 1: Have been blind
Option 2: Blinded
Option 3: Blinding
Option 4: Being blind
Correct Answer: Blinded
Solution : The second option is correct.
The original sentence contains a grammatical error.
To correct it, the phrase "blind by a dust storm" should be changed to a participle phrase, which functions as an adjective to describe the subject, and the participle form of blind is
Question : In what ratio does the point T (X, 0) divide the segment joining the points S (–4, –1) and U (1, 4)?
Option 1: 1 : 4
Option 2: 4 : 1
Option 3: 1 : 2
Option 4: 2 : 1
Correct Answer: 1 : 4
Solution : Given: Point T(X, 0) divides the line segment SU. The coordinates of S are (–4, –1) and U are (1, 4). Let the point T(X,0) divide the line segment SU in the ratio $m : n$. The section formula, $A(x,y)=(\frac{m\times x_2 + n\times
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order. A. These fields in the countryside have often been treated with pesticides which are harmful to bees. B. There is a new buzz in towns and cities in Great Britain. C. Bee-keepers living in the towns have begun to outnumber those in the country because plants growing in towns can offer more exciting nectar than fields in the countryside. D. Bee-keeping, normally practised by people living in the country, has become a fashionable hobby for those who live and work in the cities.
Option 1: CBAD
Option 2: BDCA
Option 3: CDAB
Option 4: BCAD
Correct Answer: BDCA
Question : Select the most appropriate meaning of the given idiom.
A rolling stone gathers no moss.
Option 1: A person who settles for a short time and runs from place to place, enjoying his freedom.
Option 2: A person who does not settle anywhere for a short time, and is always searching for gold.
Option 3: A person who settles for a long time and leads a boring and useless life.
Option 4: A person who does not settle in one place for a long time does not gain wealth, name or fame.
Correct Answer: A person who does not settle in one place for a long time does not gain wealth, name or fame.
Solution : The correct solution is the fourth option.
Explanation: The idiom "A rolling stone gathers no moss" is a metaphorical expression suggesting that a person
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