Staff Selection Commission Combined Graduate Level Exam
Question : What is the smallest number that should be added to 756896 to obtain a multiple of 11?
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The given number is 756896. Sum of digits in odd places = 7 + 6 + 9 = 22 Sum of digits in even places = 5 + 8 + 6 = 19 Difference in sums = 22 – 19 = 3 If we add
Question : Select the most appropriate ANTONYM of the given word. Repulsive
Option 1: Steadfast
Option 2: Superfluous
Option 3: Pleasant
Option 4: Hopeless
Correct Answer: Pleasant
Solution : The correct choice is the third option.
Explanation: Repulsive is an adjective used to describe something that causes a strong feeling of disgust or aversion. Its antonym, pleasant, denotes the opposite meaning by representing something that is agreeable, enjoyable, or pleasing.
The meanings of
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
The old man has acquired experience through age.
(1) No Improvement
(2) developed experience
(3) experienced
(4) got experience
Correct Answer: 1
Solution : The sentence is already correct and does not need any improvement because the original phrase "acquired experience through age" effectively conveys the idea that the old man has gained knowledge and wisdom over time, which is the intended meaning. Therefore, the correct answer is:
No
Question : A tower is broken at a point P above the ground. The top of the tower makes an angle of $60^\circ$ with the ground at Q. From another point R on the opposite side Q angle of elevation of point P is $30^\circ$. If QR = 180 m, what is the total height (in meters) of the tower?
Option 1: $90$
Option 2: $45\sqrt{3}$
Option 3: $45(\sqrt{3}+1)$
Option 4: $45(\sqrt{3}+2)$
Correct Answer: $45(\sqrt{3}+2)$
Solution : Let OP = $h$ m In $\triangle$OPQ, $\tan60°=\frac{h}{OQ}$ ⇒ $OQ=\frac{h}{\sqrt3}$ ------------------(equation 1) In $\triangle$OPR, $\tan30^\circ=\frac{h}{OR}$ ⇒ $OR=h\sqrt3$ ----------------------(equation 2) According to the question, $h\sqrt3+\frac{h}{\sqrt3}=180$ ⇒ $3h+h=180\sqrt3$ ⇒ $h=\frac{180\sqrt3}{4}$ ⇒ $h=45\sqrt3$ m Now, in $\triangle$OPQ, $\sin60^\circ=\frac{h}{PQ}$ ⇒ $PQ=45\sqrt3×\frac{2}{\sqrt3}$ ⇒ PQ = 90 m So, the total
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No error".
Shelley is (1) / superior than Byron (2) / in his vision of democracy. (3) / No error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second part of the sentence.
The use of the preposition "than" after "superior" is incorrect. To express comparison, we use "superior to" as superior is followed by the preposition to and not than.
Therefore, the correct sentence would be:
Question : If $x+\frac{1}{x}=-6$, what will be the value of $x^5+\frac{1}{x^5}$?
Option 1: – 7776
Option 2: – 6726
Option 3: – 6738
Option 4: – 6732
Correct Answer: – 6726
Solution : Given: $x+\frac{1}{x}=-6$ ---------------------------------------(1) Squaring both sides of equation (1) So, $(x+\frac{1}{x})^2=(-6)^2$ ⇒ $x^2+\frac{1}{x^2}=36-2=34$ Cubing both sides of equation (1) $(x+\frac{1}{x})^3=(-6)^3$ ⇒ $x^3+\frac{1}{x^3}+3×x×\frac{1}{x}(x+\frac{1}{x})=-216$ ⇒ $x^3+\frac{1}{x^3}+3(-6)=-216$ ⇒ $x^3+\frac{1}{x^3}=-216+18=-198$ So, $x^5+\frac{1}{x^5}$ = $(x^2+\frac{1}{x^2})(x^3+\frac{1}{x^3})-(x+\frac{1}{x})$ = $34×(-198)-(-6)$ = $-6732+6$ = $-6726$ Hence, the correct answer is – 6726.
Question : Directions: The bar graph shows the number of males and females (in crores) in India from 1951-1991. Read the graph and answer the following question: What was the approximate percentage of the female population in India during 1991?
Option 1: 48.23%
Option 2: 48.02%
Option 3: 48.03%
Option 4: 48.33%
Correct Answer: 48.23%
Solution : As per the given graph: The total populations of both males and females in the year 1991 = 44 + 41 = 85 crore The population of females in the year 1991 = 41 crore The percentage of female population in India during the year
She could not help but laugh.
(1) but laughing.
(2) laughter.
(3) No Improvement
(4) laughing.
Solution : The sentence is already correct and does not need any improvement. The phrase "could not help but laugh" is an idiomatic expression that means she couldn't resist laughing, Therefore, the correct answer is:
No Improvement
Question : Directions: Figure A is related to B in a certain pattern. Following the same pattern, figure C is related to D. Study the pattern and select the figure that should be placed in place of D.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : From figure A to figure B – 1. Rotate the arrow at the top left corner by 90° in the anticlockwise direction. 2. Rotate the arrow at the bottom right corner by 90° in the anticlockwise direction. 3. The dot at the centre will get double.
Question : Directions: Select the option that represents the letters that, when placed from left to right in the blanks below, will complete the letter series. C_RC_R_A R_ A_CA_
Option 1: R A C A C A
Option 2: R A C A A C
Option 3: A C R A C R
Option 4: A A C C R R
Correct Answer: A A C C R R
Solution : Given: C_RC_R_A R_ A_CA_
To fill the series, we have to divide the series – C_R / C_R / _AR / _ A_ / CA_
Let's check each option – First option: RACACA; CRR / CAR
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