Staff Selection Commission Combined Graduate Level Exam
Question : Two circles of the same radius 6 cm, intersect each other at P and Q. If PQ = 10 cm, then what is the distance between the centres of the two circles?
Option 1: $10\mathrm{~cm}$
Option 2: $8\mathrm{~cm}$
Option 3: $6\sqrt{11} \mathrm{~cm}$
Option 4: $2\sqrt{11} \mathrm{~cm}$
Correct Answer: $2\sqrt{11} \mathrm{~cm}$
Solution : Two circles meet at P and Q, with PQ = 10 cm Radii, AP = BP = 6 cm We know perpendicular from the centre to a chord bisects the chord. So, PM = 5 cm Distance between the two circles = AB =
Question : The country which tops in the production of cocoa is
Option 1: Ghana
Option 2: Brazil
Option 3: Ivory Coast
Option 4: Nigeria
Correct Answer: Ivory Coast
Solution : The correct option is - Ivory Coast.
Cocoa is a tropical crop that is widely grown in western African countries. Ivory Coast is the tropical country that produces the most cocoa. It is Ghana's main source of income. Two thirds of the world's cocoa
Question : Direction: The average age of 19 boys in a class is 21 years. If the teacher's age is included, the average increases to 22 years. What is the teacher's age?
Option 1: 39 years
Option 2: 41 years
Option 3: 40 years
Option 4: 44 years
Correct Answer: 41 years
Solution : Given:
The average age of 19 boys in a class is 21 years
⇒ (sum of the ages of boys) ÷ 19 = 21
⇒ (sum of the ages of boys) = 19 x 21 = 399
The average with teacher's age included =
Question : In tennis, which of the following scores is a complete set?
Option 1: 5-3
Option 2: 6-4
Option 3: 6-6
Option 4: 6-5
Correct Answer: 6-4
Solution : The correct option is 6-4.
In tennis, a complete set is typically won by the first player to reach six games, provided they are leading by at least two games (6-4). If the set is tied at 6-6, it may go into a tiebreaker to
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).
There are so many claims on the reader's attention that it is no wonder he is left with a little power of discernment.
(1) the little
(2) less
(3) little
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option.
The word little is used correctly to indicate a small amount of something.
The meanings of the other options are as follows:
Question : The Home Rule Leagu was started by
Option 1: Mahatma Gandhi .
Option 2: Bal Gangadhar Tilak .
Option 3: Jawahar Lal Nehru .
Option 4: Rajendra Prasad .
Correct Answer: Bal Gangadhar Tilak .
Solution : Correct Answer is Bal Gangadhar Tilak .
In Belgaon, Tilak established his Home Rule League in 1916, which had its headquarters in Pune.The Irish Home Rule movement in British India served as a model for the Indian Home Rule movement.The name "All
Question : _________ was the first woman to be ordained as a Bhikkhuni in Buddhism.
Option 1: Dhammananda Bhikkhuni
Option 2: Bhikkhuni Sujata
Option 3: Bhikkhuni Mahapajapati Gotami
Option 4: Bhikkhuni Sanghamitta
Correct Answer: Bhikkhuni Mahapajapati Gotami
Solution : The correct option is Bhikkhuni Mahapajapati Gotami.
Mahapajapati Gotami was the first woman to be ordained as a bhikkhuni in Buddhism. She was the aunt and foster mother of Siddhartha Gautama, who later became known as the Buddha.
Question : Who was the last king of the Shunga dynasty?
Option 1: Pushyamitra
Option 2: Bhavabhuti
Option 3: Shashanka
Option 4: Devabhuti
Correct Answer: Devabhuti
Solution : The correct answer is Devabhuti.
Devabhuti was the final monarch of ancient India's Shunga Empire. Vasudeva Kanva, his minister, killed him. Following his demise, the Shunga dynasty was succeeded by the Kanvas.
Question : The value of $\frac{3\left(\operatorname{cosec}^2 26^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\sec ^2 48^{\circ}\right)}{\cot \left(22^{\circ}-\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\tan ^2\left(28^{\circ}-\theta\right)}$ is:
Option 1: 3
Option 2: 4
Option 3: –1
Option 4: –2
Correct Answer: –2
Solution : $\frac{3\left(\operatorname{cosec}^2 26^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\sec ^2 48^{\circ}\right)}{\cot \left(22^{\circ}-\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\tan ^2\left(28^{\circ}-\theta\right)}$ $= \frac{3\left(\operatorname{sec}^2 64^{\circ}-\tan ^2 64^{\circ}\right)+\left(\cot ^2 42^{\circ}-\operatorname{cosec} ^2 42^{\circ}\right)}{\tan \left(68^{\circ}+\theta\right)-\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\tan \left(\theta+68^{\circ}\right)+\cot ^2\left(62^{\circ}+\theta\right)}$ $= \frac{3\left(1\right)+\left(\cot ^2 42^{\circ}-1-\cot ^2 42^{\circ}\right)}{-(\operatorname{cosec}^2\left(62^{\circ}+\theta\right)-\cot ^2\left(62^{\circ}+\theta\right))}$ $= \frac{3-1}{-1}$ $= -2$ Hence, the correct answer is –2.
Question : Select the INCORRECTLY spelt word in the following sentence.
It is a deeply regrettable fact that deforestation has had a substantial consequenses on the environment.
Option 1: deforestation
Option 2: substantial
Option 3: regrettable
Option 4: consequenses
Correct Answer: consequenses
Solution : The correct choice is the fourth option.
Explanation: The correct spelling is "consequences" not "consequenses". The word "consequences" refers to the results or effects of a particular action, and it is commonly spelt with a "c" instead of the "s". Therefore, the correct spelling
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