Staff Selection Commission Combined Graduate Level Exam
Question : Anuj and Anup have to travel from place A to place B in their respective cars. Anuj is driving at 70 km/hr and takes 3 halts of 10 minutes each, while Anup is driving at 80 km/hr and takes 4 halts of 15 minutes each. The time taken by Anup to reach place B, if Anuj takes 8.5 hours, is:
Option 1: 8 hours
Option 2: 7 hours
Option 3: 4 hours
Option 4: 6 hours
Correct Answer: 8 hours
Solution : Given: Time spent by Anuj on halts = (10 × 3 = 30) minutes = 0.5 hours Anuj's speed = 70 km/hr. He travels for 8.5 – 0.5 = 8 hours $\text{Speed} = \frac{\text{Distance}}{\text{Time}}$ So, place B's distance from A = 70 × 8
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking the numbers into their constituent digits.) (12, 51, 5); (8, 30, 2)
Option 1: (14, 120, 16)
Option 2: (13, 10, 7)
Option 3: (19, 44, 3)
Option 4: (11, 51, 6)
Correct Answer: (11, 51, 6)
Solution : Given: (12, 51, 5); (8, 30, 2)
Here, (12, 51, 5)→(12 + 5) × 3 = 17 × 3 = 51 (8, 30, 2)→(8 + 2) × 3 = 10 × 3 = 30
Let's check each option – First option: (14, 120,
Question : Comprehension:
In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
The Maasais live in (1)_____ very beautiful part of Africa. They live on the wide plains in southern and northern Kenya and northern Tanzania. The area (2)_____ of miles of rolling grassland, on which you can find thorny bushes and rocky hills. The people move from one place to another according to the seasons, looking for grasses and other plants (3)_____ which their cattle can graze. They have no permanent home. When they want to settle in a place for some time, they build a kind of camp called a 'Manyatta', where a few families live for a (4)_____ weeks or months. Then they move on again, taking their few belongings with them, and burning the old 'Manyatta' to the ground.
Question:
Select the most appropriate option to fill in the blank number 2.
Option 1: consists
Option 2: surrounds
Option 3: measures
Option 4: considers
Correct Answer: consists
Solution : The correct choice is the first option.
Explanation:
The sentence is describing the geographical composition of the Maasai living area. The phrase "The area consists of miles of rolling grassland" is suitable, indicating that the wide plains are composed of or made up of
Question : If $(4a-3)^2=0$, then the value of $64a^3-48a^2+12a+13$ is:
Option 1: 0
Option 2: 11
Option 3: 22
Option 4: 33
Correct Answer: 22
Solution : Given: $(4a-3)^2=0$ $⇒4a-3=0$ $⇒a=\frac{3}{4}$ Substitute the value of $a$ in the equation below, we get, $64a^3-48a^2+12a+13$ $=(4a)^3-3×(4a)^2×1+3×4a×(1)^2-(1)^3+14$ $=(4a-1)^3+14$ $=(4×\frac{3}{4}-1)^3+14$ $=8+14$ $=22$ Hence, the correct answer is 22.
Question : A and B can do a piece of work in 72 days. B and C can do it in 120 days and A and C can do it in 90 days. A alone can do it in:
Option 1: 120 days
Option 2: 130 days
Option 3: 150 days
Option 4: 100 days
Correct Answer: 120 days
Solution : Given: Time taken by A and B to do the work = 72 days ⇒ Part of work done by A and B in a day = $\frac{1}{72}$ Time taken by B and C to do the work = 120 days ⇒ Part of
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).
The most important part of life is to be humble.
(1) appearance
(2) aspect
(3) entity
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option "aspect".
Aspect means a particular part or a feature, and in the context of the sentence it is used to emphasise that being humble is a significant part of life.
The meanings of the other options
Question : Directions: Three different positions of the same dice are shown. Find the number on the face opposite the face showing 4.
Option 1: 5
Option 2: 6
Option 3: 2
Option 4: 3
Correct Answer: 3
Solution : Taking dice positions 1 and 2 with 6 as the common face,
Moving clockwise from the common face with 6,
Pair of opposite faces –
So, the face opposite to the face containing 4 is the face containing 3. Hence, the fourth option is correct.
Question : Which of the following statements is correct?
I. The biggest state of India in terms of area is Uttar Pradesh.
II. Rajasthan is the state of India which has the highest population among all other states of India.
Option 1: Only I
Option 2: Neither I nor II
Option 3: Only II
Option 4: Both I and II
Correct Answer: Neither I nor II
Solution : The correct answer is neither I nor II.
As of April 2021, there were 28 states and eight union territories (UTs) in India. Rajasthan is the largest state in the area (342,239 km2), followed by Maharashtra and Madhya Pradesh.
Question : If $ax–4y = – 6$ has a slope of $-\frac{3}{2}$, what is the value of $a$?
Option 1: 6
Option 2: 3
Option 3: – 6
Option 4: – 3
Correct Answer: – 6
Solution : Given: The straight line is $ax–4y = –6$ has a slope of $\frac{–3}{2}$. The slope of the straight line $(ax + by + c = 0)$ using the slope formula, $\text{slope}=\frac{–a}{b}$ $\frac{–a}{–4}=\frac{–3}{2}$ ⇒ $a = – 6$ Hence, the correct answer is – 6.
Question : How many players are there in a water polo team?
Option 2: 5
Option 3: 7
Option 4: 8
Correct Answer: 7
Solution : The correct answer is 7.
Water polo is a water-based team sport played by two teams of seven players each. The Indian men's national water polo team represents India in international men's water polo. The Swimming Federation of India (SFI) governs water polo in India.
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