Staff Selection Commission Combined Graduate Level Exam
Question : The value of $\frac{\sin A}{1+\cos A}+\frac{\sin A}{1-\cos A}$ is $(0°<A<90°)$:
Option 1: $2\operatorname{cosec}A$
Option 2: $2 \sec A$
Option 3: $2 \sin A$
Option 4: $2 \cos A$
Correct Answer: $2\operatorname{cosec}A$
Solution : Given: $\frac{\sin A}{1+ \cos A}+\frac{\sin A}{1- \cos A}$ = $\frac{\sin A(1–\cos A)+\sin A (1+\cos A)}{(1+ \cos A)(1- \cos A)}$ = $\frac{\sin A–\sin A \cos A+\sin A+\sin A \cos A}{(1- \cos^{2} A)}$ = $\frac{2\sin A}{\sin^{2}A}$ = $\frac{2}{\sin A}$ = $2 \operatorname{cosec}A$ Hence, the correct answer is
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'. Have you want me to come with you to the dentist?
Option 1: Has you wanted me
Option 2: No substitution required
Option 3: Had you want me
Option 4: Do you want me
Correct Answer: Do you want me
Solution : The correct choice is the fourth option.
Explanation: The correct form should be: "Do you want me to come with you to the dentist?"
The auxiliary verb "do" is needed before the subject to form an interrogative sentence in the
Question : The average of the first three numbers is double the fourth number. If the average of all the four numbers is 12. Find the 4th number.
Option 1: $16$
Option 2: $\frac{48}{7}$
Option 3: $20$
Option 4: $\frac{18}{7}$
Correct Answer: $\frac{48}{7}$
Solution : Let the four numbers be $p, q, r$ and $s$. $⇒\frac{p+q+ r+s}{4}=12$ $⇒p+q+r+s=48$ ...(i) $⇒\frac{p+q+r}{3}=2s$ $⇒p+q+r=6s$ ...(ii) Putting equation (ii) in equation (i), we get, $⇒6s+s=48$ $⇒7s=48$ $\therefore s=\frac{48}{7}$ Hence, the correct answer is $\frac{48}{7}$.
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 2.
Option 1: 1
Option 2: 6
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : Taking dice positions 1 and 2 with 2 as common face,
Moving clockwise from the common face with 2,
Pairs of opposite faces –
So, the opposite face to the face containing 2 is 1. Hence, the first option is correct.
Question : In the given figure, the radius of a circle is $14\sqrt{2}$ cm. PQRS is a square. EFGH, ABCD, WXYZ, and LMNO are four identical squares. What is the total area (in cm2) of all the small squares?
Option 1: 31.36
Option 2: 125.44
Option 3: 62.72
Option 4: 156.8
Correct Answer: 125.44
Solution :
Given that the radius of the circle = $14\sqrt{2}$ cm The diameter of the circle = $2 \times 14\sqrt{2} = 28\sqrt{2}$ cm. The side of the larger square (PQRS) = $\frac{\operatorname{diameter}}{\sqrt2}=28$ cm. TO = half the side of the larger square = $14$ cm. The
Question : Given below are four sentences in jumbled order. Pick the option that gives their correct order.
A. I pointed them out to my companion. B. The woman's face was familiar but I could not recall who she was. C. At the very next table to ours, sat Lady Edgware and Brian Martin. D. As I was doing so, another couple came and joined them.
Option 1: CADB
Option 2: BCAD
Option 3: ABCD
Option 4: CDBA
Correct Answer: CADB
Solution : The correct choice is the first option.
Sentence C sets the scene by describing the location and introducing the characters Lady Edgware and Brian Martin, followed by sentence D, which describes the narrator's action of pointing out Lady Edgware and Brian Martin, adds the
Question : Directions: Pointing towards a boy Meera said, "He is the son of the only son of my grandfather". How is that boy related to Meera?
Option 1: Cousin
Option 2: Brother
Option 3: Uncle
Option 4: Brother-in-law
Correct Answer: Brother
Solution : As per the given information, the family tree will be as follows –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
According to the above family tree, the boy is Meera's brother. Hence, the second option is
Question :
In dicots the pollen- grains possess:
Option 1:
Two germ pores
Option 2:
Three germ pores
Option 3: Four germ pores
Option 4: One germ pores
Correct Answer:
Solution : The correct option is three germ pores.
Pollen grains in dicot plants generally have three germ pores. These germ pores are openings or tiny depressions in the outer wall (exine) of the pollen grain. The existence and arrangement of germ pores are essential
Question : Directions: A series is given with one term missing. Select the correct alternative from the given ones that will complete the series. QRM, PWD, OBU, NGL, ?
Option 1: MLC
Option 2: MQR
Option 3: MRS
Option 4: MCL
Correct Answer: MLC
Solution : Given: QRM, PWD, OBU, NGL, ?
In the given series, subtract 1, and 9 from the place value of the first, and third letters respectively, and add 5 to the place value of the second letter of the previous term to get the next term.
Question : The Olympic Games are held every _________.
Option 1: fifth year
Option 2: third year
Option 3: fourth year
Option 4: second year
Correct Answer: fourth year
Solution : The correct option is the fourth year.
The Olympic Games are held every four years in a cycle known as an Olympiad. This tradition originates from ancient Greece, where the games were held around 776 BC to coincide with major religious festivals. Pierre
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