Staff Selection Commission Combined Graduate Level Exam
Question : Three successive discounts of 10% are available on the sale of a washing machine with a marked price of INR 55,000. Find the final selling price (in INR) of the washing machine.
Option 1: 40095
Option 2: 44000
Option 3: 40000
Option 4: 42095
Correct Answer: 40095
Solution : Marked price = INR 55,000 Successive discounts of 10%, 10%, and 10% For thre successive discounts, selling price = $\frac{100-\text{Discount}_1\%}{100}× \frac{100-\text{Discount}_2\%}{100}× \frac{100-\text{Discount}_3\%}{100}×$ marked price Selling price = $\frac{90}{100}$×$\frac{90}{100}$×$\frac{90}{100}$× 55,000 = INR 40,095. Hence, the correct answer is 40095.
Question : Directions: Select the related letter cluster from the given alternatives. ACF : GIL :: OQT : ?
Option 1: VXY
Option 2: UWZ
Option 3: RSV
Option 4: VXZ
Correct Answer: UWZ
Solution : Given: ACF : GIL :: OQT : ?
Add 6 to each letter of ACF to get the required code – A + 6 = G; C + 6 = I; F + 6 = L Thus, ACF is coded as GIL. Similarly, follow the
Question : Directions: Read the following pie chart carefully to answer the question. Distribution of sales of Hindi and English newspapers in five localities (A, B, C, D, and E)
English newspapers: Hindi newspapers:
What is the central angle corresponding to the sale of Hindi newspapers in locality E?
Option 1: $80^\circ$
Option 2: $90^\circ$
Option 3: $60^\circ$
Option 4: $108^\circ$
Correct Answer: $90^\circ$
Solution : The total distribution of sales of Hindi newspapers in five localities (A, B, C, D, and E) = 4000 + 2500 + 3600 + 2400 + 3500 = 16,000 Central angle of E = $\frac{4000}{16000}\times360^\circ = 90^\circ$ Hence, the correct answer is $90^\circ$.
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).
I really enjoyed the way the fashion show was executed and I also very much liked its theme.
(1) its theme conveyed
(2) and the executing of the fashion shows theme
(3) I really liked its theme
(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: I really liked its theme
It is the correct improvement. It maintains the parallelism in the sentence while expressing the intended meaning that the speaker really liked the theme of the fashion show.
The meanings of the other
Question : Select the correct statement about the achievements of Sruti Bandyopadhyay, an eminent Manipuri dancer.
Option 1: She received Padma Shri for the year 2020
Option 2: She received the Sangeet Natak Akademi Award for the year 2020
Option 3: She received Kalidas Samman for the year 2020
Option 4: She received Padma Vibhushan for the year 2020
Correct Answer: She received the Sangeet Natak Akademi Award for the year 2020
Solution : The correct option is she received the Sangeet Natak Akademi Award for the year 2020.
Sruti Bandyopadhyay was born on October 8th, 1962. Since 1998, she has held the prestigious title of a 'Top' Grade
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 down the numbers into their constituent digits. E.g. 13 – operations on 13 such as adding/subtracting/multiplying etc to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (5, 7, 140) (6, 4, 96)
Option 1: (7, 3, 63)
Option 2: (5, 14, 210)
Option 3: (9, 2, 72)
Option 4: (6, 7, 126)
Correct Answer: (9, 2, 72)
Solution : Given: (5, 7, 140); (6, 4, 96)
Like, (5, 7, 140)→5 × 7 = 35; 35 × 4 = 140 (6, 4, 96)→6 × 4 = 24; 24 × 4 = 96
Let's check the options – First option: (7, 3, 63)→7 ×
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.
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