Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at 1, 2 and 3 that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
I like tea and I like coffee.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct improvement for the sentence is: both tea and coffee
Explanation: This option is the correct improvement because it maintains the original meaning and structure of the sentence while emphasizing that the speaker likes both tea and coffee. It combines the two preferences without
Question : $\triangle ABC$ and $\triangle PQR$ are two triangles. AB = PQ = 6 cm, BC = QR =10 cm, and AC = PR = 8 cm. If $\angle ABC = x$, then what is the value of $\angle PRQ$?
Option 1: $(180 ^{\circ}–x)$
Option 2: $x$
Option 3: $(90 ^{\circ}–x)$
Option 4: $(90 ^{\circ}+x)$
Correct Answer: $(90 ^{\circ}–x)$
Solution : Given: $\triangle ABC$ and $\triangle PQR$ are two triangles. AB = PQ = 6 cm, BC = QR =10 cm and AC = PR = 8 cm. Also, $\angle ABC = x$. We know that the sum of all interior angles of the triangle
Question : If $\frac{2+a}{a}+\frac{2+b}{b}+\frac{2+c}{c}=4$, then the value of $\frac{ab+bc+ca}{abc}$ is:
Option 1: $2$
Option 2: $1$
Option 3: $0$
Option 4: $\frac{1}{2}$
Correct Answer: $\frac{1}{2}$
Solution : Given that $\frac{2+a}{a}+\frac{2+b}{b}+\frac{2+c}{c}=4$, we can rewrite this equation as: $⇒\frac{2}{a}+1+\frac{2}{b}+1+\frac{2}{c}+1=4$ Simplifying, we get: $⇒\frac{2}{a}+\frac{2}{b}+\frac{2}{c}=1$ Multiplying through by $abc$, we get: $⇒2bc+2ac+2ab=abc$ Rearranging terms, we get: $⇒abc=2(ab+bc+ca)$ $\therefore\frac{ab+bc+ca}{abc}=\frac{1}{2}$ Hence, the correct answer is $\frac{1}{2}$.
Question : Working together, A and B can do a job in 40 days, B and C in 36 days, and all three together in 24 days. In how many days can B alone do the job?
Option 1: 60
Option 2: 90
Option 3: 72
Option 4: 120
Correct Answer: 90
Solution : Let the total work = LCM of (40, 36, and 24) = 360 Efficiency of (A + B) = $\frac{360}{40}$ = 9 ----------------------------(1) Efficiency of (B + C) = $\frac{360}{36}$ = 10 --------------------------(2) Efficiency of (A + B + C) = $\frac{360}{24}$ = 15 ---------------------(3)
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
She decided to go there, though her husband cautioned her on it.
(1) Against
(2) For
(3) About
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct answer is the first option.
The preposition on is not the most suitable choice for the sentence. When cautioning or warning someone, it's more common to use the preposition against.
Therefore, the correct sentence would be: She decided to go there, though
Question : The number of eggs normally released during one menstrual cycle is :
Option 1: 3
Option 3: 1
Correct Answer: 1
Solution : The correct answer is 1.
Only one egg is released during one menstrual cycle of 28 days. Egg is released during the ovulation phase of menstrual cycle. Menstrual cycle has 4 phases- Menstruation, the follicular phase, ovulation and the luteal phase. It is controlled by
Question : If $2 \frac{\cos ^2 x-\sec ^2 x}{\tan ^2 x}=a+b \cos 2 x$, then $a, b=$?
Option 1: $-\frac{3}{2}, -\frac{1}{2}$
Option 2: $\frac{3}{2}, \frac{1}{2}$
Option 3: $-3, -1$
Option 4: $3,1$
Correct Answer: $-3, -1$
Solution : $2 \frac{\cos ^2 x-\sec ^2 x}{\tan ^2 x}$ = $2 \frac{\cos ^2 x-\frac{1}{\cos ^2 x}}{\tan ^2 x}$ = $2 \frac{\cos ^4 x - 1}{\tan ^2 x\cos ^2 x}$ = $2 \frac{(\cos ^2 x - 1)(\cos ^2 x + 1)}{\frac{\sin^2 x}{\cos^2 x}\cos ^2 x}$ We
Question : There are a total of _______ parliamentary seats (Rajya Sabha constituency) in Maharashtra.
Option 1: 11
Option 2: 19
Option 3: 10
Option 4: 1
Correct Answer: 19
Solution : The correct answer is 19
Maharashtra holds 19 parliamentary seats in the Rajya Sabha, also known as the Council of States. The allocation of these seats is determined by the distribution of seats outlined in the fourth schedule of the Indian Constitution, primarily based
Question : Directions: Select the figure that will replace the question mark(?)in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series, in every alternate box, the geometrical figures/ numbers/ letters shift their position following the below pattern – 1. From Box 1 to Box 2 – Top left→Top centre→Top right→Centre of the box→Bottom left→Bottom centre→Bottom right 2. From Box 2 to
Question : The demand for labour is called
Option 1: Market demand .
Option 2: Direct demand .
Option 3: Derived demand .
Option 4: Factory demand .
Correct Answer: Derived demand .
Solution : The correct option is derived demand.
Derived demand in labor means that the need for workers depends on the demand for the products or services they help create. For instance, if more cars are wanted, more labor will be needed in the auto
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