Staff Selection Commission Combined Graduate Level Exam
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.
The child is the father of the man. Childhood is a (1)______ of what one is going to be when one (2)______ maturity. The natural instincts of a man are (3)______ in his childhood. Time modifies them but cannot (4)______ them. History contains numerous examples of great men who gave (5)______ of their future when they were children. A child’s mind is (6)______ and flexible. The mould he receives before his clay (7)______ becomes his permanent mark. The values and standards of (8)______ which will determine his life as a man (9)______ in childhood itself. There may be certain (10)______ of course. A bright morning may end in a storm!
Question:
Select the most appropriate option to fill in the blank no. 9.
Option 1: are developed
Option 2: is developing
Option 3: develops
Option 4: has developed
Correct Answer: are developed
Solution : The correct choice is the third option.
In the given sentence, since we are talking about childhood, we need to use the verb in the past participle form with an auxiliary verb. Therefore, are developed is the correct choice.
Question : $\frac{1}{1+\cos(90^{\circ}- \theta)}$ + $\frac{1}{1-\cos(90^{\circ}- \theta)}$ =?
Option 1: $2\sec^2 \theta$
Option 2: $1$
Option 3: $2$
Option 4: $2 \tan^2 \theta$
Correct Answer: $2\sec^2 \theta$
Solution : $\frac{1}{1+\cos(90^{\circ}- \theta)}$ + $\frac{1}{1-\cos(90^{\circ}- \theta)}$ = $\frac{1}{1+\sin \theta}$ + $\frac{1}{1-\sin \theta}$ = $\frac{(1-\sin \theta)+(1+\sin \theta)}{(1-\sin \theta)(1+\sin \theta)}$ = $\frac{2}{1-\sin ^2 \theta}$ = $\frac{2}{\cos ^2 \theta}$ = $2\sec^2 \theta$ Hence, the correct answer is $2\sec^2 \theta$.
Question : If $4x=\sqrt5+2$, then the value of $(x-\frac{1}{16x})$ is:
Option 1: 1
Option 2: –1
Option 3: 4
Option 4: $2\sqrt5$
Correct Answer: 1
Solution : Given: $4x=\sqrt5+2$ ⇒ $\frac{1}{4x}=\sqrt5-2$ (by rationalising) ⇒ $4x - \frac{1}{4x}=(\sqrt5+2)-(\sqrt5-2)$ ⇒ $4x - \frac{1}{4x}=\sqrt5+2-\sqrt5+2$ ⇒ $4x - \frac{1}{4x}=4$ Dividing both sides by 4, we get, ⇒ $\frac{4x}{4}-\frac{1}{4x×4}=\frac{4}{4}$ $\therefore x - \frac{1}{16x}=1$ Hence, the correct answer is 1.
Question : Directions: Introducing a woman, a man said, "Her mother is the only daughter of my mother-in-law". How is the man related to the woman?
Option 1: Son
Option 2: Brother
Option 3: Husband
Option 4: Father
Correct Answer: Father
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above family tree, the man is the father of that woman. Hence, the
Question : Directions: Select the set in which the numbers are related similarly to the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (23, 14, 9) (37, 19, 18)
Option 1: (125, 25, 5)
Option 2: (125, 100, 5)
Option 3: (125, 25, 100)
Option 4: (125, 5, 25)
Correct Answer: (125, 25, 100)
Solution : Given: (23, 14, 9); (37, 19, 18)
Here, (23, 14, 9)→14 + 9 = 23 (37, 19, 18)→19 + 18 = 37
Let's check the options – First option: (125, 25, 5)→25 + 5 = 30 ≠ 125 Second option: (125, 100, 5)→100
Question : ABC is an equilateral triangle with a side of 12 cm. What is the length of the radius of the circle inscribed in it?
Option 1: $2 \sqrt{3}$ cm
Option 2: $8 \sqrt{3}$ cm
Option 3: $4 \sqrt{3} $ cm
Option 4: $6 \sqrt{3}$ cm
Correct Answer: $2 \sqrt{3}$ cm
Solution : Given: ABC is an equilateral triangle with a side of 12 cm. The length of the inradius of the equilateral triangle = $\frac{\text{side}}{2\sqrt3}=\frac{12}{2\sqrt3}=2\sqrt3$ cm Hence, the correct answer is $2\sqrt3$ cm.
Question : Directions: The second number in the given number pairs is obtained by performing certain mathematical operation(s) on the first number. The same operation(s) is/are followed in all the number pairs except one. Find that odd number pair.
Option 1: 20 : 11
Option 2: 6 : 4
Option 3: 15 : 9
Option 4: 12 : 7
Correct Answer: 15 : 9
Solution : Let's check the options – First option: 20 : 11; (11 × 2) – 2 = 22 – 2 = 20 Second option: 6 : 4; (4 × 2) – 2 = 8 – 2 = 6 Third option: 15 : 9; (9
Question : Gandhi's inspiration for Civil Disobedience came from the writings of
Option 1: Henry David Thoreau
Option 2: David Ricardo
Option 3: Henry Kissinger
Option 4: Bertrand Russell
Correct Answer: Henry David Thoreau
Solution : Correct Answer is Henry David Thoreau
Civil disobedience began after the British ignored Gandhi’s 11 demands. In response, Gandhi allied himself with young activists to lead a movement known as the ‘Civil Disobedience’ Movement. During Gandhi’s anti-British protests, he called on all Indians
Question : Select the option that can be used as a one-word substitute for the given group of words.
The property left to someone by a will
Option 1: Ledger
Option 2: Legacy
Option 3: Legend
Option 4: Lexical
Correct Answer: Legacy
Solution : The second option is the correct answer.
A legacy is the property or money that is left to someone in a will. It is a bequest or inheritance that is passed down from one generation to another.
The meanings of the other options are as
Question :
Directions: In the following question, select the related word from the given alternatives. Fingers : Hand :: ? : Feet
Option 1: Nails
Option 2: Toes
Option 3: Ankle
Option 4: Heels
Correct Answer: Toes
Solution : Given: Fingers : Hand :: ? : Feet
Like, fingers are the extensions of our hands. Similarly, toes are the extensions of our feet.
Hence, the second option is correct.
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