Staff Selection Commission Combined Graduate Level Exam
Question : How many diagonals are there in an octagon?
Option 1: 12
Option 2: 14
Option 3: 20
Option 4: 24
Correct Answer: 20
Solution : Given: Number of sides of an octagon, $n=8$. The number of the diagonals in a $n$ sided polygon is given as $\frac{n(n–3)}{2}$. Number of diagonals of an octagon = $\frac{8(8–3)}{2}$ = 20 Hence, the correct answer is 20.
Question : Select the most appropriate direct form of the given sentence.
She enquired if all those potatoes were to be peeled for dinner.
Option 1: She said, “Should I peel all these potatoes for dinner?”
Option 2: She said, “All those potatoes were to be peeled for dinner?”
Option 3: She said, “Are all these potatoes to be peeled for dinner?”
Option 4: She said, “Are all those potatoes peeling for dinner?”
Correct Answer: She said, “Are all these potatoes to be peeled for dinner?”
Solution : The correct choice is the third option.
In transforming the reported speech into direct speech, it is crucial to maintain the structure and meaning of the original sentence. The steps are as follows:
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Masked men _____ a security van on the motorway
Option 1: Held out
Option 2: Held forth
Option 3: Held up
Option 4: Held on
Correct Answer: Held up
"Held up" means to rob or stop someone or something, usually using force or threats. In the context of the sentence, it suggests that the masked men are using force or intimidation to stop and potentially
Question : The polymer used in making plastic crockery is
Option 1: Decron
Option 2: Nylon
Option 3: Backelite
Option 4: Melamine
Correct Answer: Melamine
Solution : The correct option is Melamine.
Melamine is also used in the production of plastic crockery. Melamine resin, a type of thermosetting plastic, is known for its durability, heat resistance, and ability to maintain its shape and form. It is often used to make plates, bowls,
Question : Directions: In the following question, find the odd letter cluster from the given alternatives.
Option 1: ACEG
Option 2: KMNP
Option 3: HJLN
Option 4: TVXZ
Correct Answer: KMNP
Solution : Let's check the options – First option: ACEG; A + 2 = C; C + 2 = E; E + 2 = G Second option: KMNP; K + 2 = M; M + 1 = N; N + 2 = P Third option: HJLN; H
Question : ABC is an isosceles triangle where AB = AC, which is circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?
Option 1: BP = PC
Option 2: BP > PC
Option 3: BP < PC
Option 4: BP = $\frac{1}{2}$ PC
Correct Answer: BP = PC
Solution : We know, AB, BC, and AC are tangents to the circle. Let AB, BC, and AC touch the circle at points Q, P, and R respectively. So, AQ = AR = a (say) (length of tangents from the same point are equal) And
It has been years since I last _______ him.
Option 1: had met
Option 2: met
Option 3: meet
Option 4: have met
Correct Answer: met
Solution : The correct choice is the second option.
Explanation: The correct word is "met" because it correctly places the action of meeting in the past, as the sentence intends to express that it has been a long time since the last meeting with the person.
So,
Question : Rs. 16,820 is divided between two brothers of age 27 years and 25 years. They invested their money at 5% per annum compound interest in such a way that both will receive equal money at the age of 40 years. The share (in Rs.) of elder brother is:
Option 1: Rs. 8,280
Option 2: Rs. 8,410
Option 3: Rs. 8,820
Option 4: Rs. 8,000
Correct Answer: Rs. 8,820
Solution : Suppose Share of elder brother = Rs. $y$ ∴ Share of younger brother = Rs. $(16820 – y)$ Using the given formula, $A=P(1+\frac{R}{100})^n$ According to the question, $y(1+\frac{5}{100})^{13}=(16820-y)(1+\frac{5}{100})^{15}$ ⇒ $y=(16820-y)(1+\frac{5}{100})^{2}$ ⇒ $y=(16820-y)(\frac{21}{20})^{2}$ ⇒ $y(\frac{20}{21})^{2}=(16820-y)$ ⇒ $\frac{400y}{441}+y=16820$ ⇒ $\frac{400y+441y}{441}=16820$ ⇒ $\frac{881y}{441}=16820$ ⇒ $y = 441×20
Question : A discount of 20% is given for the purchase of two books by a bookseller and a discount of 25% is offered if a customer buys more than two books. A 10% discount is being offered to all the customers on purchase of one book. An additional 5% discount will be given to students. Sohan, a student of M.Com. in college, bought a book for INR 513. What was the marked price of the book?
Option 1: INR 650
Option 2: INR 540
Option 3: INR 600
Option 4: INR 605
Correct Answer: INR 600
Solution : Let's denote the marked price of the book as $x$. For the purchase of one book, a 10% discount is offered. ⇒ The price Sohan paid is 90% of the marked price 90% of $x$ = 0.9$x$ Sohan is a student, so an additional
Question : In triangle ABC, $\angle$ B = 90°, and $\angle$C = 45°. If AC = $2 \sqrt{2}$ cm then the length of BC is:
Option 1: 3 cm
Option 2: 2 cm
Option 3: 1 cm
Option 4: 4 cm
Correct Answer: 2 cm
Solution : AC = $2 \sqrt{2}$ cm Also, $\angle$B = 90°, and $\angle$C = 45° Applying angle sum property in triangle ABC, $\angle$ A + $\angle$ B + $\angle$ C = 180° or, $\angle$A + 90° + 45° = 180° or, $\angle$A = 45° Since, $\angle$A
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