Staff Selection Commission Combined Graduate Level Exam
Question : The circumference of the two circles is 308 cm and 440 cm, respectively. What is the difference between their radii?
Option 1: 21 cm
Option 2: 49 cm
Option 3: 35 cm
Option 4: 14 cm
Correct Answer: 21 cm
Solution : Let the radius of the first circle be $r_1$. Circumference of the first circle $=2\pi r{_1}$ ⇒ $308 = 2×\frac{22}{7}×r{_1}$ ⇒ $r_1$ = 49 cm Let the radius of the 2nd circle be $r_2$. Circumference of the 2nd circle $=2\pi r{_2}$ ⇒ $440 =
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 4, 12, 48, 240, 1440, ?
Option 1: 7620
Option 2: 10080
Option 3: 6200
Option 4: 10020
Correct Answer: 10080
Solution : Given: 4, 12, 48, 240, 1440, ?
Multiply the numbers of the given series by consecutive natural numbers starting from 3. 4 × 3 = 12; 12 × 4 = 48; 48 × 5 = 240; 240 × 6 = 1440; 1440 × 7 =
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).
A thing of beauty is joy forever.
(1) Is the joy
(2) Is joyous
(3) Is a joy
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
The sentence "A thing of beauty is a joy forever", is a well-known and grammatically correct quotation from John Keats' poem Endymion. It conveys the idea that beautiful things bring lasting joy.
The phrase "is a
Question : Directions: Two positions of the same cubical block are shown. When 6 is at the top, which number will be at the bottom?
Option 1: 4
Option 2: 2
Option 3: 3
Option 4: 5
Correct Answer: 4
Solution : Taking dice positions 1 and 2 with 4 as the common face –
Moving clockwise from the common face with 4 –
Pairs of opposite faces –
So, the opposite face of 6 is 4.
Thus, when 6 is at the top, then 4 will
Question : Which article can be used by The President of India to declare financial emergency?
Option 1: Article 32
Option 2: Article 349
Option 3: Article 360
Option 4: Article 365
Correct Answer: Article 360
Solution : The correct answer is Article 360.
Article 360 in Part XVIII of the Indian constitution deals with the financial emergency. It is proclaimed by the President of India if he is satisfied that the situation has arisen in which the financial situation or the
Question : If $x\sin ^{2}60^{\circ}-\frac{3}{2}\sec 60^{\circ}\tan^{2}30^{\circ}+\frac{4}{5}\sin ^{2}45^{\circ}\tan ^{2}60^{\circ}=0$, then $x$ is:
Option 1: $-\frac{1}{15}$
Option 2: $–4$
Option 3: $-\frac{4}{15}$
Option 4: $–2$
Correct Answer: $-\frac{4}{15}$
Solution : $x\sin ^{2}60^{\circ}-\frac{3}{2}\sec 60^{\circ}\tan^{2}30^{\circ}+\frac{4}{5}\sin^{2}45^{\circ}\tan ^{2}60^{\circ}=0$ $⇒x(\frac{\sqrt3}{2})^2-\frac{3}{2}×2×(\frac{1}{\sqrt3})^2+\frac{4}{5} ×\frac{1}{2}×(\sqrt{3})^2=0$ $⇒\frac{3x}{4}-1+\frac{6}{5}=0$ $⇒\frac{3x}{4}=-\frac{1}{5}$ $⇒x=-\frac{4}{15}$ Hence, the correct answer is $-\frac{4}{15}$.
Question : The Constitution of India is a sovereign socialist, secular democratic republic with a______________ system of government.
Option 1: unitary
Option 2: parliamentary
Option 3: monarchical
Option 4: presidential
Correct Answer: parliamentary
Solution : The correct option is parliamentary.
The parliamentary system in India provides for a balance of power between the executive, legislature, and judiciary and allows for regular elections to ensure that the government remains accountable to the people. It is a fundamental aspect of India's democratic
Question : Shatabdi Express train covers 700 km in 5 hours and another 1012 km in 11 hours. What is the average speed of the train (in metres/second)?
Option 1: $107$
Option 2: $385 \frac{1}{5}$
Option 3: $29 \frac{13}{18}$
Option 4: $27$
Correct Answer: $29 \frac{13}{18}$
Solution : Distance travelled by Shatabdi in 5 hours($T_1$), $D_1$ = 700 km Distance travelled by Shatabdi in 11 hours($T_2$), $D_2$ = 1012 km Average Speed = $\frac{D_{1}+D_{2}}{T_{1}+ T_{2}}$ = $\frac {700+1012}{(5+11)}$ = $107$ km/hr = $107\times \frac{5}{18}$ m/s = $29\frac{13}{18}$ m/s Hence, the correct answer
Question : Select the most appropriate indirect form of the given sentence.
Bill said, “I have missed my train. I will be late for work.”
Option 1: Bill said that he missed his train and that he will be late for work.
Option 2: Bill said that I have missed my train and that I would be late for work.
Option 3: Bill said that he had missed his train and that he would be late for work.
Option 4: Bill said that he has missed his train and that he is late for work.
Correct Answer: Bill said that he had missed his train and that he would be late for work.
Explanation: When transforming direct speech into indirect speech, it is essential to shift the verb tenses back one step in time.
Question : The ratio of Ram's age to Rahim's age is $10:11$. What is Rahim's age in percentage of Ram's age?
Option 1: $109\frac{1}{2}$%
Option 2: $110$%
Option 3: $111\frac{1}{9}$%
Option 4: $111$%
Correct Answer: $110$%
Solution : Let Ram's age be $10x$. Then, Rahim's age will be $11x$. So, the required percentage = $\frac{11x}{10x}×100=110$% Hence, the correct answer is $110$%.
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