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Staff Selection Commission Combined Graduate Level Exam

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13 Views

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

Team Careers360 26th Jan, 2024

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: 

18 Views

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?

Team Careers360 26th Jan, 2024

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

12 Views

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)

Team Careers360 26th Jan, 2024

Correct Answer: (3)


Solution : The correct choice is the third option.

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."

6 Views

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: $2 \tan^2 \theta$

Team Careers360 27th Jan, 2024

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 $2\sec^2 \theta$.

27 Views

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: $2\sqrt5$

Team Careers360 26th Jan, 2024

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.

32 Views

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

Team Careers360 27th Jan, 2024

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 

10 Views

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

Team Careers360 27th Jan, 2024

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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