Staff Selection Commission Combined Graduate Level Exam
Question : A boat running upstream takes 10 hours to cover a certain distance, while it takes 7 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and that of the water current, respectively?
Option 1: 17 : 5
Option 2: 3 : 17
Option 3: 2 : 17
Option 4: 17 : 3
Correct Answer: 17 : 3
Solution : Given: Time to cover the distance upstream = 10 hr Time to cover the distance downstream = 7 hr Speed of boat downstream = Speed of boat in still water + speed of current Speed of boat upstream = Speed of boat in
Question : The first bullet train project in India aims to run a bullet train at 320 mph along a high-speed rail (HSR) track between _______.
Option 1: Jaipur and Mumbai
Option 2: Ahmedabad and Mumbai
Option 3: Delhi and Hyderabad
Option 4: Kolkata and Chennai
Correct Answer: Ahmedabad and Mumbai
Solution : The correct answer is Ahmedabad and Mumbai.
The Mumbai-Ahmedabad High-Speed Rail (MAHSR) is the official name of the first bullet train project in India. The project's goal is to run a bullet train between Ahmedabad and Mumbai at 320 km/h on a
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).
Both himself and his relations will be invited.
(1) you
(2) she
(3) he
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct answer is the third option: "he."
This option is correct because "he" is a subjective pronoun, a third-person singular pronoun, and it agrees in gender and number with the singular part of the subject, which is "himself".
You: This option is not
Question : Select the correct active form of the given sentence.
These instructions can be easily carried out.
Option 1: One will be able to carry out these instructions easily.
Option 2: You should easily carry out these instructions.
Option 3: One can easily carry out these instructions.
Option 4: I would easily carry out these instructions.
Correct Answer: One can easily carry out these instructions.
Solution : The third option is correct.
Active voice is the voice where the subject performs the action. Modal verbs are used to express certain hypothetical conditions, such as advice, capability, or requests. Here, one will become the subject in the
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 5, 10, 30, ?, 600, 3600
Option 1: 120
Option 2: 100
Option 3: 90
Option 4: 60
Correct Answer: 120
Solution : Given: 5, 10, 30, ?, 600, 3600
Multiply each term by consecutive natural numbers – 5 × 2 = 10; 10 × 3 = 30; 30 × 4 = 120; 120 × 5 = 600; 600 × 6 = 3600
So, the missing number is
Question : Who is the author of the book titled 'The Gita for Children'?
Option 1: Puja Changoiwala
Option 2: Ruchira Gupta
Option 3: Priyanka Mookerjee
Option 4: Roopa Pai
Correct Answer: Roopa Pai
Solution : The correct answer is Roopa Pai.
Roopa Pai's 'The Gita for Children' is a book for children. This book is a condensed and kid-friendly version of the Bhagavad Gita, a scripture of Hindu philosophy. It offers the Gita's lessons in an approachable
Question : What is the value of $\left(27x^3 + 58x^2 y + 31xy^2 + 8y^3\right)$, when $x = 5$ and $y = –7$?
Option 1: 1924
Option 2: –1926
Option 3: –1924
Option 4: 1926
Correct Answer: –1924
Solution : Given: $x = 5 $ and $y = -7$ $\left(27x^3 + 58x^2y + 31xy^2 + 8y^3\right)$ = $27x^3+54x^2y+36xy^2+8y^3+ 4x^{2}y - 5xy^{2}$ = $(3x + 2y)^{3} + 4x^{2}y - 5xy^{2}$ = $(3 \times 5 + 2 \times (-7)^{3} + 4 \times 5^{2} \times (-7) -(5\times 5
Question : Directions: Select the correct combination of mathematical signs to replace * signs and to balance the following equation. 48 * 4 * 6 * 3 * 30
Option 1: –, +, =, ×
Option 2: ÷, =, ×, +
Option 3: ÷, +, ×, =
Option 4: –, =, ×, +
Correct Answer: ÷, +, ×, =
Solution : Given: 48 * 4 * 6 * 3 * 30
First option: –, +, =, × 48 – 4 + 6 = 3 × 30 L.H.S.→48 – 4 + 6 = 54 – 4 = 50 R.H.S.→3 × 30 = 90 L.H.S.
Question : By selling a bag for Rs. 230, a profit of 15% is made. The selling price of the bag, when sold at 20% profit, would be:
Option 1: Rs. 250
Option 2: Rs. 205
Option 3: Rs. 240
Option 4: Rs. 200
Correct Answer: Rs. 240
Solution : Let the Cost price (CP) be Rs. $x$. Selling price (SP) of the bag = Rs. 230 and profit = 15% SP = $\frac{100 +\text{Profit %}}{100}$ × CP = 230 ⇒ $\frac{115x}{100}$ = 230 ⇒ $x$ = $\frac{230}{115}$ × 100 ⇒ $x$ = 200
Question : Evaluate the following. $\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$.
Option 1: 40
Option 2: 4
Option 3: 0
Option 4: 1
Correct Answer: 0
Solution : $\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$ We know that, $\cos(x + y) = \cos x \cos y - \sin x \sin y$ Applying, $\sin 25^{\circ} \sin 65^{\circ}-\cos 25^{\circ} \cos 65^{\circ}$ = $-(-\sin 25^{\circ} \sin 65^{\circ}+\cos 25^{\circ} \cos 65^{\circ})$ = $-\cos(25^{\circ}+65^{\circ})$ = $-\cos90^{\circ}=0$ Hence, the
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