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Staff Selection Commission Combined Graduate Level Exam

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Question : Direction: From the given alternatives, select the one in which the set of numbers is most like the set of numbers question.

(1, 5, 12)

Option 1: (7, 11, 35)

Option 2: (4, 8, 24)

Option 3: (10, 14, 44)

Option 4: (9, 13, 42)

Team Careers360 23rd Jan, 2024

Correct Answer: (4, 8, 24)


Solution : Given:
(1, 5, 12)

Here,
(1, 5, 12) → 1 + 5 = 6; 6 × 2 = 12

Let's check the options –

First option: (7, 11, 35) → 7 + 11 = 18; 18 × 2 = 36

Second option: (4,

11 Views

Question : In a right-angled triangle, if the hypotenuse is 20 cm and the ratio of the other two sides is 4 : 3, the lengths of the sides are:

Option 1: 4 cm and 3 cm

Option 2: 8 cm and 6 cm

Option 3: 12 cm and 9 cm

Option 4: 16 cm and 12 cm

Team Careers360 21st Jan, 2024

Correct Answer: 16 cm and 12 cm


Solution :
Given: In a right-angled triangle, the hypotenuse is 20 cm and the ratio of the other two sides is 4 : 3.
Let the two sides be $4x$ cm and $3x$ cm.
Then $(4x)^2+(3x)^2=20^2$
⇒ $25x^2=400$
⇒ $x^2=\frac{400}{25}$
⇒ $x^2=16$
⇒

38 Views

Question : Select the most appropriate one-word substitution of the given group of words.

Something that is absolutely necessary, that you cannot do without.

Option 1: Insular

Option 2: Indispensable

Option 3: Isolated

Option 4: Intolerant

Team Careers360 14th Jan, 2024

Correct Answer: Indispensable


Solution : The correct choice is the second option.

The word indispensable is the most appropriate one-word substitution for the group of words because it means something that is absolutely necessary, essential, and cannot be done without. It conveys the idea that a particular thing or quality

8 Views

Question : If $x+y+z=0$, then what is the value of $\frac{x^2}{yz}+\frac{y^2}{xz}+\frac{z^2}{xy}$?

Option 1: $0$

Option 2: $\frac{1}{3}$

Option 3: $1$

Option 4: $3$

Team Careers360 22nd Jan, 2024

Correct Answer: $3$


Solution : Given:
$x+y+z=0$
So, $x^3+y^3+z^3=3xyz$
$\frac{x^2}{yz}+\frac{y^2}{xz}+\frac{z^2}{xy}$
= $\frac{x^3}{xyz}+\frac{y^3}{xyz}+\frac{z^3}{xyz}$
= $\frac{x^3+y^3+z^3}{xyz}$
= $\frac{3xyz}{xyz}$
= $3$
Hence, the correct answer is $3$.

16 Views

Question : Directions: Two positions of a cube are shown below. What will come opposite to the face containing δ?

Option 1: δ

Option 2: θ

Option 3: β or θ

Option 4: β

Team Careers360 13th Jan, 2024

Correct Answer: β


Solution : According to the given positions of the cube, the common face is α. So, on moving in the clockwise direction from α, the following opposite pairs of faces will be formed –
(Assume that the sixth face of the dice is Y.)

Therefore, based on

10 Views

Question : Pandit Bhimsen Joshi is associated with which of the following fields?

Option 1: Literature

Option 2: Social services

Option 3: Classical music

Option 4: Politics

Team Careers360 12th Jan, 2024

Correct Answer: Classical music


Solution : The correct option is Classical music.

In the Hindustani classical form, Pandit Bhimsen Joshi was one of India's best vocalists. He was from the state of Karnataka. Along with his well-liked renditions of devotional music (Bhajans and Abhangs), he is well-known for his

17 Views

Question : Directions: Kamal starts walking from his home, facing west. After walking 10 km, he takes a right turn and walks another 10 km. He takes another right turn and walks 10 km to reach his school. How far (in km) and in which direction is he from his home?

Option 1: 10 km North

Option 2: 10 km South

Option 3: 20 km North-east

Option 4: 20 km South-west

Team Careers360 20th Jan, 2024

Correct Answer: 10 km North


Solution : As per the given information, the movement of Kamal will be –

So, Kamal is in the north direction with respect to his starting point (home) and the distance between Kamal's endpoint (school) and his home is 10 km. Hence, the first option

37 Views

Question : Parts of the following sentence have been given as options. Select the option that contains an error.

My mother is a honest and well-known woman in the society.

Option 1: in the society

Option 2: My mother

Option 3: is a honest

Option 4: and well known woman

Team Careers360 15th Jan, 2024

Correct Answer: is a honest


Solution : The correct choice is the third option.

The error lies in the third option. The error in this option is the incorrect use of the indefinite article a before honest. The correct form should be an honest because honest begins with a

9 Views

Question : Directions: From the given option figures, select the one in which the question figure is embedded.

Option 1:

Option 2:

Option 3:

Option 4:

Team Careers360 24th Jan, 2024

Correct Answer:


Solution : Since there is no restriction on the rotation of the figure, we will check all possible angles where the question figure can fit itself in all the given option figures.
The given question figure is embedded only in the third option figure.

Hence, the third option

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