Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the word pair that best represents a similar relationship to the one expressed in the given pair of words. (The words must be considered meaningful English words and must not be related to each other based on the number of letters/number of consonants/vowels in the word.) Rice : Carbohydrates
Option 1: Eggplant : Vegetable
Option 2: Flesh : Chicken
Option 3: Cottage cheese : Protein
Option 4: Orange : Fruit
Correct Answer: Cottage cheese : Protein
Solution : Given: Rice : Carbohydrates (This depicts the relation between food and its nutrients.)
Let's check each option – First option: Eggplant : Vegetable; Eggplant is a type of vegetable. Second option: Flesh : Chicken; Chicken is a type of flesh. Third option:
Question : Select the option that expresses the given sentence in passive voice.
Who stole my tickets?
Option 1: My tickets was stolen by whom?
Option 2: My tickets got stolen by who?
Option 3: By whom were my tickets stolen?
Option 4: My tickets were stolen by who?
Correct Answer: By whom were my tickets stolen?
Solution : The correct choice is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the passive
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
(Any of) these two options could be the correct answer.
(1) Either one of
(2) Any two of
(3) Either of
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Explanation:
"Either of" is the most appropriate choice, conveying the idea that one of the two options could be correct.
So, the correct sentence would be: "Either of these two options could be the correct answer."
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement".
According to an official spokesperson, polling was held amid tight security arrangements in 29 municipal councils and panchayats over the State.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
The preposition over should be replaced with across as across the state means from one end to the other end of the state. Across is often associated with a more direct or horizontal movement, while over
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
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 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.
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