Staff Selection Commission Combined Graduate Level Exam
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? + and –, 2 and 4
Option 1: 9 – 5 ÷ 4 × 2 + 8 = 80
Option 2: 7 × 4 – 2 ÷ 1 + 5 = 13
Option 3: 7 – 8 ÷ 2 + 16 × 4 = 18
Option 4: 5 + 7 × 4 – 8 ÷ 2 = 5
Correct Answer: 7 × 4 – 2 ÷ 1 + 5 = 13
Solution : Let's check the options – First option: 9 – 5 ÷ 4 × 2 + 8 = 80 On interchanging the given signs and numbers, the equation becomes – ⇒ 9 + 5 ÷ 2
Question : In ancient times, the area to the south of the Ganga was known as _____________.
Option 1: Magadha
Option 2: Kosala
Option 3: Anga
Option 4: Matsya
Correct Answer: Magadha
Solution : The correct option is Magadha.
The region of India south of the Ganges River was formerly called Magadha. In the Indian subcontinent, Magadha was a prominent kingdom that had a major impact on early Indian history, especially during the time of the Buddha and
Question : Select the most appropriate adverb to fill in the blank. Nitha can assemble the students of her class ____________.
Option 1: perfect
Option 2: distract
Option 3: slow
Option 4: quickly
Correct Answer: quickly
Solution : The fourth option is correct.
In the context of the sentence, the adverb quickly indicates that Nitha can gather the students in a fast and efficient manner. It reflects the speed with which she can organise or assemble the group.
The meanings of the other
Question : Which of the following can make provisions for ancillary powers of the Supreme Court?
Option 1: President of India
Option 2: Law Commission of India
Option 3: Minister of Law & Justice
Option 4: Parliament of India
Correct Answer: Parliament of India
Solution : The correct option is the Parliament of India.
Ancillary powers are essential for its effective functioning and to uphold the rule of law. These powers are not explicitly mentioned in the Indian Constitution but are implied from its provisions. These are:-
Question : Directions: Select the correct combination of mathematical signs to replace the * signs and balance the given equation. 21 * 4 * 156 * 13 * 11 = 83
Option 1: –, ÷, ×, +
Option 2: ×, +, ÷, –
Option 3: ×, –, ÷, +
Option 4: +, ÷, –, ×
Correct Answer: ×, –, ÷, +
Solution : Given: 21 * 4 * 156 * 13 * 11 = 83
Replace * with the mathematical signs and solve the equation using BODMAS. Let's check the given options – First option: –, ÷, ×, + ⇒ 21 – 4 ÷ 156
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
She stopped and said that she (had forgotten taking the key from) the keyhole.
(1) forgot taking the key from
(2) forgot to take the key off from
(3) had forgotten to take the key from
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The correct choice is the third option.
Explanation:
The sentence is in the past perfect tense, indicating an action completed before another past action. The use of "had forgotten to take" correctly conveys that forgetting to take the key occurred before the main action in
Question : Vipul and Manish invested the sum of INR 15,000 and INR 20,000 at the rate of 20% per annum and 30% per annum respectively on compound interest (compounding annually). If time period is 3 years for both, then what will be the total compound interest earned by Vipul and Manish?
Option 1: INR 32,480
Option 2: INR 31,688
Option 3: INR 29,460
Option 4: INR 34,860
Correct Answer: INR 34,860
Solution : Given: Vipul and Manish invested the sum of INR 15,000 and INR 20,000 at the rate of 20% per annum and 30% per annum respectively on compound interest (compounding annually). We know the formulas, $A = P(1+\frac{R}{100})^T$ $CI = A-P$ where $CI$, $A$, $P$,
Question : Directions: A paper is folded and cut as shown below. How will it appear when unfolded?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : When the given folded paper is unfolded, it will look like –
Hence, the second option is correct.
Question : $\frac{\sin^4 \theta+\cos^4 \theta}{1-2 \sin^2 \theta \cos^2 \theta}=$____.
Option 1: 1
Option 2: 2
Option 3: – 1
Option 4: 0
Correct Answer: 1
Solution : Given: $\frac{\sin^4 \theta+\cos^4 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ = $\frac{\sin^4\theta+\cos^4\theta+2\sin^2\theta \cos^2\theta-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ = $\frac{(\sin^2\theta+\cos^2\theta)^2-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin ^2 \theta \cos^2 \theta}$ = $\frac{1-2 \sin^2 \theta \cos^2 \theta}{1-2 \sin^2 \theta \cos^2 \theta}$ [$\because \sin^2\theta+\cos^2\theta=1$] = $1$ Hence,
Question : Directions: Kishore starts from a point and walks 6 km towards the east and turning to his left he moves 3 km after this, he again turns to his left and moves 6 km. Now how far is he from his starting point?
Option 1: 3 km
Option 2: 2 km
Option 3: 4 km
Option 4: 5 km
Correct Answer: 3 km
Solution : Firstly, we will draw the diagram as per the given instructions – Now, we have to find the distance between starting and endpoints. In the figure, A is the starting point and D is the finishing point. So, AD is the distance from the
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