Staff Selection Commission Combined Graduate Level Exam
Question : Select the wrongly spelt word.
Option 1: delicious
Option 2: virtious
Option 3: religious
Option 4: precious
Correct Answer: virtious
Solution : The second option is the correct choice.
The wrongly spelled word is virtious. The correct spelling is virtuous, which refers to having high moral qualities and being characterised by virtue or moral excellence.
The meanings of other options are as follows:
Question : A person lent a certain sum of money at the annual rate of 7% on simple interest and the interest received in 11 years is Rs. 920 less than the sum lent. What is the sum lent?
Option 1: Rs. 41200
Option 2: Rs. 4000
Option 3: Rs. 52000
Option 4: Rs. 2400
Correct Answer: Rs. 4000
Solution : Given, Rate = 7% and Time = 11 years Let the amount lent be $P$. Interest earned = $P - 920$ We know, Simple interest = $\frac{\text{Principal × Rate × Time}}{100}$ ⇒ $P - 920 = \frac{P×7×11}{100}$ ⇒ $100P - 92000 = 77P$ ⇒
Question : Who was associated with the foundation of the Fergusson College?
Option 1: Dadabhai Naoroji
Option 2: Gopal Krishna Gokhale
Option 3: Lala Lajpat Rai
Option 4: Bal Gangadhar Tilak
Correct Answer: Bal Gangadhar Tilak
Solution : The correct option is Bal Gangadhar Tilak.
Bal Gangadhar Tilak was associated with the foundation of Fergusson College. Fergusson College is located in Pune, India, and it was established in 1885 by the Deccan Education Society, of which Bal Gangadhar Tilak was a
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 1 : 8
Option 2: 27 : 64
Option 3: 125 : 218
Option 4: 343 : 512
Correct Answer: 125 : 218
Solution : Let's check the options – First option: 1 – 8→13 = 1; 23 = 8 Second option: 27 – 64→ 33 = 27; 43 = 64 Third option: 125 – 218→ 53 = 125; 63 = 216
Question : What is the surface area (in cm²) of a spherical sculpture whose radius is 35 cm? (Take $\pi=\frac{22}{7}$)
Option 1: 16540
Option 2: 15700
Option 3: 15400
Option 4: 14500
Correct Answer: 15400
Solution : The radius of spherical sculpture, $r$ = 35 cm Surface area of sphere = $4\pi r^2$ = $4×\frac{22}{7}×{35}^2$ = 15400 cm2 Hence, the correct answer is 15400.
Question : At what rate percent per annum will a sum of INR 15, 625 amount to INR 21, 952 in three years, if the interest is compounded annually?
Option 1: 12%
Option 2: 8%
Option 3: 9%
Option 4: 10%
Correct Answer: 12%
Solution : Principal (P) = INR 15, 625 Time (T) = 3 years Amount (A) = INR 21, 952 Amount = $P(1 + \frac{R}{100})^T$ Let the rate of interest per annum be $R$. 21952 = 15625$(1 + \frac{R}{100})^3$ ⇒ $\frac{21952}{15625} = (1 + \frac{R}{100})^3$ ⇒ $\sqrt[3]{(\frac{21952}{15625})} =
Question : A policeman noticed a thief from 300 m. The thief started running and the policeman was chasing him. The thief and the policeman ran at speeds of 8 km/h and 9 km/h, respectively. What was the distance between them after 3 minutes?
Option 1: 225 m
Option 2: 250 m
Option 3: 300 m
Option 4: 200 m
Correct Answer: 250 m
Solution : Given: Distance between the policeman and the thief = 300 m Speed of the policeman = 9 km//h = $9×\frac{5}{18}=\frac{5}{2}$ m/s Speed of the thief = 8 km//h = $8×\frac{5}{18}=\frac{20}{9}$ m/s Relative speed of the policeman and the thief = 9 – 8 =
Question : $\frac{\sin ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}=$?
Option 1: $\operatorname{cosec}\theta$
Option 2: $\sec\theta$
Option 3: $2\cos\theta$
Option 4: $2\sec\theta$
Correct Answer: $2\sec\theta$
Solution : $\frac{\sin ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{1-\cos ^2 \theta}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{(1-\cos \theta)(1+\cos \theta)}{\cos \theta(1+\cos \theta)}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{1-\cos \theta}{\cos \theta}+\frac{1+\cos \theta}{\cos \theta}$ $=\frac{1-\cos \theta+1+\cos \theta}{\cos \theta}$ $=\frac{2}{\cos \theta}$ $=2\sec\theta$ Hence, the correct answer is $2\sec\theta$.
Question : If a + b = 5 and a – b = 3, then the value of (a2 + b2) is:
Option 1: 17
Option 2: 18
Option 3: 19
Option 4: 20
Correct Answer: 17
Solution : Given: a + b = 5 -----------------------(i) a – b = 3 ----------------------(ii) Add both equations (i) and (ii), ⇒ a + b + a – b = 5 + 3 ⇒ 2a = 8 ⇒ a = 4 From equation (i), ⇒ 4 +
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".
The article suggests that when a person is under unusual stress you should be especially careful to eat a well-balanced diet.
(1) The article suggests that when a person is under unusual stress
(2) you should be especially careful
(3) to eat a well-balanced diet.
(4) No Error
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The error lies in the second option.
To maintain consistency in the third-person perspective established in the rest of the sentence, it should be he should be especially careful instead of you should be especially careful as he is considered a gender-neutral pronoun.
Therefore,
The Question containing Inaapropriate or Abusive Words
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