Staff Selection Commission Combined Graduate Level Exam
Question : The area of a rhombus having one side 10 cm and one diagonal 12 cm is:
Option 1: $48\text{ cm}^2$
Option 2: $96\text{ cm}^2$
Option 3: $144\text{ cm}^2$
Option 4: $192\text{ cm}^2$
Correct Answer: $96\text{ cm}^2$
Solution : The area of a rhombus, where $d_1$ and $d_2$ are the lengths of the diagonals, $ = \frac{1}{2} \times d_1 \times d_2 $ In this case, one side of the rhombus is given as 10 cm and one diagonal is given as 12 cm.
Question : An emulsion is a colloid of a
Option 1: Gas in a liquid
Option 2: liquid in a liquid
Option 3: liquid in a gas
Option 4: Gas in a solid
Correct Answer: liquid in a liquid
Solution : The correct option is liquid in a liquid.
An emulsion is a colloid composed of one liquid dispersed in liquid. It is a form of colloidal dispersion in which the dispersed phase as well as the dispersion medium are both liquids. Emulsions
Question : The value of $\left(3^2\right)^2 + 3 \times 3 \div 3 - 3$ is:
Option 1: $3^2$
Option 2: $9^2$
Option 3: $2^3$
Option 4: $3^0$
Correct Answer: $9^2$
Solution : $\left(3^2\right)^2 + 3\times 3\div3 - 3$ $=\left(9\right)^2 + 3\times 3\div3 - 3$ $=81 + 3\times 3 \div3 - 3$ $= 81 + 3\times1 - 3$ $=81 + 3 -3$ $=81$ $ = 9^2$ Hence, the correct answer is $9^2$.
Question : Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. But she has no idea an aunt and uncle are waiting for her. B. 'The Strange Child' is the story of a young girl who believes she is the only one on the planet. C. Her parents simply vanished into thin air one day. D. She travels the world in search of Nevada because she aspires to reside in the Mojave Desert.
Option 1: DABC
Option 2: BDAC
Option 3: BACD
Option 4: BCDA
Correct Answer: BCDA
Solution : The correct choice is the fourth option.
This order presents the information in a logical sequence. Sentence B introduces the story and the central character, a young girl who thinks she's alone in the world. Sentence C provides crucial information about the girl's situation, explaining
Question : The pie chart given below shows the production of 6 different factories. The total production of all these 6 factories is 12000. The production of a particular factory is shown as a percent of the total production of all these 6 factories. J1 = The value of average production of P and R. J2 = The value of average production of Q and T. What is the value of (J1 – J2)?
Option 1: 360
Option 2: 420
Option 3: 340
Option 4: 400
Correct Answer: 420
Solution : J1 = ($\frac{(30 + 12)}{2}$)% × 12000 = 2520 J2 = ($\frac{(20 + 15)}{2}$)% × 12000 = 2100 Now, J1 - J2 = 2520 - 2100 = 420 ∴ The value of (J1 – J2) is 420. Hence, the correct answer is 420.
A. But the question that perturbs Ruskin's mind is what social pressure can be exercised against a dishonest person. B. The merchant, for instance, must supply perfect and pure things to the people. C. Ruskin believes that in every civilised society, there exist five intellectual professions, namely the soldier, the pastor, the physician, the lawyer and the merchant. D. Persons belonging to these professions are expected to perform their duty honestly.
Option 1: BACD
Option 2: DABC
Option 3: CDBA
Option 4: ABDC
Correct Answer: CDBA
Solution : The most appropriate choice is the third option.
The paragraph starts with sentence C, which introduces the central idea that Ruskin categorises certain professions as intellectual professions within society, followed by sentence D, as it logically follows the previous sentence by establishing an
Question : The difference between the greatest and the least five-digit numbers formed by 2, 5, 0, 6, and 8 is (repetition of digits is not allowed):
Option 1: 69552
Option 2: 65925
Option 3: 65952
Option 4: 63952
Correct Answer: 65952
Solution : The greatest 5-digit number formed by 0,2,5,6,8 is 86520 The smallest 5-digit number formed by 0,2,5,6,8 is 20568 (we cannot start with 0 because this makes it a 4-digit number). Required Difference = Greatest 5-digit number – Smallest 5-digit number Required Difference = 86520 –
Question : Directions: In the following question, select the related number from the given alternatives. 1 : 8 :: ? : 64
Option 1: 36
Option 2: 27
Option 3: 30
Option 4: 25
Correct Answer: 27
Solution : Given: 1 : 8 :: ? : 64
The numbers in the given analogy are the perfect cubes of 1, 2, 3, and 4. Like, (1)3 = 1; (2)3 = 8 Similarly, (3)3 = 27; (4)3 = 64
27 is related
Question : Identify the segment in the sentence which contains a grammatical error.
Whole country applauded the courage of our soldiers.
Option 1: applauded the
Option 2: our soldiers
Option 3: Whole country
Option 4: courage of
Correct Answer: Whole country
Solution : The correct choice is the third option.
The definite article the is missing before whole country. This makes the sentence grammatically accurate, as the definite article is used before a specific noun for emphasis.
Therefore, the correct sentence is: The whole country
Question : Directions: Select the odd group of numbers. (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.)
Option 1: (7 – 343 – 331)
Option 2: (6 – 216 – 206)
Option 3: (5 – 125 – 115)
Option 4: (4 – 64 – 54)
Correct Answer: (7 – 343 – 331)
Solution : Let's check each option –
First option: (7 – 343 – 331)→7³ = 343; 343 – 10 = 333 (333 ≠ 331) Second option: (6 – 216 – 206)→6³ = 216; 216 – 10 = 206 Third option: (5 – 125
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