Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the set in which the numbers are NOT related in the same way as the numbers of the given 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.) (267, 128, 139)
Option 1: (267, 132, 135)
Option 2: (325, 112, 215)
Option 3: (365, 154, 211)
Option 4: (297, 146, 151)
Correct Answer: (325, 112, 215)
Solution : Given: (267, 128, 139)
Here, (267, 128, 139)→128 + 139 = 267
Let's check the options – First option: (267, 132, 135)→132 + 135 = 267 Second option: (325, 112, 215)→112 + 215 = 327 ≠ 325 Third option: (365, 154, 211)→154 +
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)
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,
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
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 $(4x)^2+(3x)^2=20^2$ ⇒ $25x^2=400$ ⇒ $x^2=\frac{400}{25}$ ⇒ $x^2=16$ ⇒
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
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
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: $3$
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 $3$.
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
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
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
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
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
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
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
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
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:
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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