Staff Selection Commission Combined Graduate Level Exam
Question : A wholesaler had 200 dozen of mangoes. He sold some of these mangoes at 20% profit and the rest at 10% profit so he made 13% profit on selling all the mangoes. How many mangoes (in dozens) did he sell at 20% profit?
Option 1: 140
Option 2: 60
Option 3: 80
Option 4: 120
Correct Answer: 60
Solution : Let the number of dozens of mangoes sold at $20\%$ profit as $x$ and the number of dozens sold at $10\%$ profit as $(200 - x)$. Given that the wholesaler made a total profit of $13\%$ on selling all the mangoes. ⇒ $0.20x + 0.10(200
Question : BCG is a vaccine meant for protection against which of the following diseases?
Option 1: Mumps
Option 2: Tuberculosis
Option 3: Leprosy
Option 4: Tetanus
Correct Answer: Tuberculosis
Solution : The correct option is Tuberculosis.
BCG (Bacillus Calmette-Guérin) vaccine is used to prevent tuberculosis (TB), a bacterial infection that predominantly affects the lungs but can spread to other parts of the body. In locations where tuberculosis is endemic or considered a concern, the BCG vaccination
Question : The chemical component that is invariably found in all viruses is
Option 1: Proteins
Option 2: Lipids
Option 3: DNA
Option 4: RNA
Correct Answer: Proteins
Solution : The correct option is proteins.
Viruses are microscopic infectious organisms made up of genetic material (DNA or RNA) encased in a protein sheath. Proteins are essential components of viruses, helping to build the capsid (protective coat), attachment spikes and replication, assembly and release within
Question : Directions: There are five friends, P, Q, R, S, and T who have different heights in a class. P's height is more than only one student. Q's height is more than S and P but not more than R. S's height is more than P. R is not the smallest. Who has the maximum height in the class?
Option 1: Q
Option 2: R
Option 3: S
Option 4: T
Correct Answer: R
Solution : P's height is more than only one student. So, the arrangement is –
Q's height is more than S and P but not more than R. So, the arrangement is –
S's height is more than P. So, the
Question : The decadal growth rate of the population between 2001-2011 is not ________.
Option 1: 18.70 percent
Option 2: 15.70 percent
Option 3: 17.70 percent
Option 4: 16.70 percent
Correct Answer: 17.70 percent
Solution : The correct option is 17.70 per cent.
The decadal growth rate refers to the percentage increase in a population over ten years. The population growth rate during ten years, or the decadal growth rate, decreased from 21.5% between 1991 and 2001 to 17.7%
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. The man who / was committed / the theft last night / was caught this evening.
Option 1: was caught this evening.
Option 2: was committed
Option 3: The man who
Option 4: the theft last night
Correct Answer: was committed
Solution : The correct choice is the second option.
Explanation: In the original sentence, "was committed" creates a passive construction, which implies that someone else committed the man to the act of theft. To rectify this error, the sentence needs to use the active voice
Question : If $4^{(x+y)} = 256$ and $(256)^{(x–y)} = 4$, what are the values of $x$ and $y?$
Option 1: $\frac{17}{8}$ and $\frac{15}{8}$
Option 2: $\frac{17}{4}$ and $\frac{15}{4}$
Option 3: $\frac{9}{17}$ and $\frac{15}{17}$
Option 4: $\frac{8}{17}$ and $\frac{8}{15}$
Correct Answer: $\frac{17}{8}$ and $\frac{15}{8}$
Solution : Given: $4^{(x+y)}=256$ ⇒ $4^{(x+y)} = 4^4$ ⇒ $x+y = 4$ ⇒ $x = 4-y$-----(1) And $(256)^{(x-y)}=4$ ⇒ $(4^4)^{(x-y)}=4^1$ ⇒ $4x-4y =1$-----(2) Putting the value of $x$ from equation (1), we get, $4(4-y)-4y = 1$ ⇒ $16-4y-4y =1$ $\therefore y =\frac{15}{8}$ Now, substituting the
Question : On simple interest, a sum of Rs. 640 becomes Rs. 832 in 2 years. What will Rs. 860 become in 4 years at the same rate of interest?
Option 1: Rs. 1,250
Option 2: Rs. 1,376
Option 3: Rs. 1,426
Option 4: Rs. 1,150
Correct Answer: Rs. 1,376
Solution : Principal = Rs. 640 Simple Interest = 832 – 640 = Rs. 192 Time = 2 years Since simple interest = $\frac{\text{Principal × Time × Rate}}{100}$ ⇒192 = $\frac{\text{640 × 2 × Rate}}{100}$ ⇒ Rate = 15% Now, for Rs. 860 as principal for
Question : Directions: In the following question, select the missing number from the given responses.
Option 1: 60
Option 2: 58
Option 3: 65
Option 4: 72
Correct Answer: 72
Solution : To find the number at the bottom of the figure, divide the product of the other two numbers by 8.
In the first figure→(14 × 24) ÷ 8 = 336 ÷ 8 = 42 In the second figure→(64 × 12) ÷ 8 = 768 ÷
Question : Directions: Sonal's brother's paternal grandmother, named Seeta, is coming to Sonal's party with her only son. How is Seeta's son related to Sonal?
Option 1: Father
Option 2: Paternal grandfather
Option 3: Son
Option 4: Brother
Correct Answer: Father
Solution : According to the given information, the family tree will be –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, from the above, it can be said that Seeta's son is the father of Sonal. Hence, the
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