Staff Selection Commission Combined Graduate Level Exam
Question : The sum of a non-zero number and twice its reciprocal is $\frac{33}{4}$. Find the number.
Option 1: 9
Option 2: 10
Option 3: 11
Option 4: 8
Correct Answer: 8
Solution : Let the non-zero integer be $x$. Given: The sum of a non-zero number and twice its reciprocal is $\frac{33}{4}$. $\Rightarrow x+\frac{2}{x}=\frac{33}{4}$ $\Rightarrow 4x^2-33x+8=0$ $\Rightarrow 4x^2-32x-x+8=0$ $\Rightarrow 4x(x-8)-(x-8)=0$ $\Rightarrow (4x-1)(x-8)=0$ $\Rightarrow (4x-1)=0 \;or\;(x-8)=0$ $\therefore x=8, \frac{1}{4}$ Hence, the correct answer is 8.
Question : The value of (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13) is:
Option 1: 6
Option 2: 0
Option 3: –3
Option 4: 3
Correct Answer: 0
Solution : Given: (16 + 14) ÷ 2 – 12 + 16 × 4 – 28 + 13 (–16 + 13) Using the BODMAS rule we get, = 30 ÷ 2 – 12 + 16 × 4 – 28 + 13 (–3) = 15 – 12 +
Question : From the top of an upright pole $24 \sqrt{3}$ feet high, the angle of elevation of the top of an upright tower was $60^{\circ}$. If the foot of the pole was 60 feet away from the foot of the tower, how tall (in feet) was the tower?
Option 1: $84 \sqrt{3}$
Option 2: $36\sqrt{3}$
Option 3: $44\sqrt{3}$
Option 4: $60\sqrt{3}$
Correct Answer: $84 \sqrt{3}$
Solution : Here, AB = $24\sqrt3$ feet = PQ Distance, AP = 60 feet Here, AP = BQ = 60 feet In $\triangle$BQR, $\tan 60° = \frac{RQ}{BQ}$ ⇒ $\sqrt3=\frac{RQ}{60}$ $\therefore RQ = 60\sqrt3$ Height of the tower = RP = RQ + PQ = $60\sqrt3+24\sqrt3=84\sqrt3$ feet
Question : Who among the following performing artists bagged the Best Actress award for Mena Gurjari?
Option 1: Sonal Mansingh
Option 2: Sitara Devi
Option 3: Shovana Narayana
Option 4: Mallika Sarabhai
Correct Answer: Mallika Sarabhai
Solution : The correct answer is Mallika Sarabhai.
Mallika Sarabhai is an Indian classical dancer, choreographer, actor, writer, and social activist best known for her advocacy of the arts as a means of social change. While completing her schooling, Sarabhai became a performing artist and gained
Question : Ustad Hassu Khan was one of the founders of which of the following Gharanas of music?
Option 1: Rampur
Option 2: Agra
Option 3: Gwalior
Option 4: Patiala
Correct Answer: Gwalior
Solution : The correct answer is Gwalior.
Ustad Hassu Khan was a founding member of the Gwalior Gharana of music. The Gwalior Gharana is a well-known and important gharana of Indian classical music. It's well-known for its beautiful melodies, sophisticated rhythms, and strong voices. Ustad Hassu Khan
Question : Directions: In the following question, select the related number from the given alternatives. 121 : 12 :: 25 : ?
Option 1: 5
Option 2: 6
Option 3: 7
Correct Answer: 6
Solution : Given: 121 : 12 :: 25 : ?
Like, 121 : 12; √121 = 11 and (11 + 1) = 12 Similarly, for 25 : ?; √25 = 5 and (5 + 1) = 6
So, 25 is related to 6. Hence, the second option
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
You better (1) / consult a doctor (2) / immediately. (3) / No Error (4)
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The error lies in the first part of the sentence.
The reason for the error is that "you better" is not a grammatically correct construction. We should use "you should" to convey the idea that it is advisable or recommended to consult a doctor immediately.
Question : Directions: In the following question, some parts of the sentence may have some errors. Find out which part of the sentence has an error and select the appropriate option. If the sentence is free from error, select "No Error."
He has read four plays (1) / written by Shakespeare (2) / by the end of his vacation. (3) / No Error (4)
The use of "has read" is not correct because it doesn't match the past time frame indicated by "by the end of his vacation". To denote a job or work completed, the simple past tense
Question : A right circular cylinder has a height of 18 cm and a radius of 7 cm. The cylinder is cut into three equal parts (by two cuts parallel to the base). What is the percentage increase in total surface area?
Option 1: $62\%$
Option 2: $56\%$
Option 3: $48\%$
Option 4: $52\%$
Correct Answer: $56\%$
Solution : The total surface area of a right circular cylinder $=2\pi r(h + r)$, where $r$ is the radius and $h$ is the height. We have a height is $18\;\mathrm{cm}$ and a radius is $7\;\mathrm{cm}$. The initial total surface area $\mathrm{(T_1)}$ of the cylinder, $\mathrm{T_1}=2\pi \times
Question : Which state ranked first among the 18 large and mid-sized states (with population of over one crore each) in justice delivery in India as per the second edition of the India Justice Report?
Option 1: Maharashtra
Option 2: Tamil Nadu
Option 3: West Bengal
Option 4: Karnataka
Correct Answer: Maharashtra
Solution : The correct option is Maharashtra.
The second edition of the India Justice Report, released in 2019, ranked Maharashtra as the top state among the 18 large and mid-sized states (with a population of over one crore each) in terms of justice delivery in India.
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