Staff Selection Commission Combined Graduate Level Exam
Question : A vendor buys bananas at 9 for Rs. 8 and sells them at 8 for Rs. 9. What will be the profit or loss (in %)?
Option 1: 13.28% profit
Option 2: 26.56% loss
Option 3: 26.56% profit
Option 4: 13.28 % loss
Correct Answer: 26.56% profit
Solution : Cost price of one banana = $\frac{8}{9}$ Selling price of one banana = $\frac{9}{8}$ Profit = Selling price – Cost price = $\frac{9}{8}$–$\frac{8}{9}$ = $\frac{17}{72}$ Profit% = $\frac{\frac{17}{72}×100}{\frac{8}{9}}$ = $\frac{17×100×9}{72×8}$ = 26.56% Hence, the correct answer is 26.56% profit.
Question : Sheikh Hasina Wazed is the prime minister of which neighbouring country of India?
Option 1: Pakistan
Option 2: Bangladesh
Option 3: Afghanistan
Option 4: Nepal
Correct Answer: Bangladesh
Solution : The correct answer is Bangladesh.
India helped Bangladesh in its war for independence in 1971. As a friendly South Asian neighbour, India was the first to recognise Bangladesh as a separate and sovereign state. India also quickly established diplomatic ties with Bangladesh by declaration
Question : Why the Earth is having its own atmosphere ?
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : The correct answer is gravity.
Earth has atmosphere because it has gravity which keeps all the gases, water vapours and other mass carrying materials attached to the earth's crust. While air pressure is directly related to gravity on earth i.e. more the height less would be
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).
Careful drivers never take eyes of the road.
(1) by
(2) from
(3) off
(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.
In this sentence, the word "of" is incorrect. It should be replaced with the preposition that means away from or diverted from. The correct preposition is off in this context, which means to divert one's attention away from
Question : If $x+\frac{1}{x}=2 \sqrt{5}$ where $x>1$, then the value of $x^3-\frac{1}{x^3}$ is:
Option 1: 82
Option 2: 76
Option 3: 86
Option 4: 78
Correct Answer: 76
Solution : Given: $x+\frac{1}{x}=2 \sqrt{5}$ ⇒ $(x+\frac{1}{x})^2=(2 \sqrt{5})^2$ ⇒ $x^2+\frac{1}{x^2}+2=20$ ⇒ $x^2+\frac{1}{x^2}=18$ -------------(i) ⇒ $x^2+\frac{1}{x^2}-2=18-2=16$ ⇒ $(x-\frac{1}{x})^2=(4)^2$ ⇒ $x-\frac{1}{x}=4$ -------------(ii) So, $x^3-\frac{1}{x^3}$ = $(x-\frac{1}{x})(x^2+\frac{1}{x^2}+x×\frac{1}{x})$ = 4 × (18 + 1) = 76 Hence, the correct answer is 76.
Question : The ratio of milk to water in a 100-litres mixture is 2 : 3. 10 litres of this mixture is withdrawn and replaced with milk. This process is repeated 2 more times. What is the percentage of milk in the final mixture?
Option 1: 56.26%
Option 2: 54.27%
Option 3: 58.21%
Option 4: 51.24%
Correct Answer: 56.26%
Solution : Proportion of water after replacement = Proportion of water before replacement × ($\frac{\text{Volume before addition}}{\text{Volume after addition}}$)(number of replacements) ⇒ Proportion of water after replacement = $\frac{3}{5} × (\frac{90}{100}$)3 = $\frac{2187}{5000}$ So, the volume of water after replacements = $\frac{2187}{5000}$ × 100 =
Question : The word 'direct free kick' is related to which of the following sports?
Option 1: Basketball
Option 2: Baseball
Option 3: Volleyball
Option 4: Football
Correct Answer: Football
Solution : The correct option is Football.
The word "direct free kick" refers to the sport of football, which is sometimes referred to as soccer worldwide. In football, a team is awarded a direct free kick when the opposing team fouls and the kick can be made
Question : The areas of three adjacent faces of a cuboidal solid block of wax are 216 cm2, 96 cm2 and 144 cm2. It is melted and 8 cubes of the same size are formed from it. What is the lateral surface area (in cm2) of 3 such cubes?
Option 1: 648
Option 2: 432
Option 3: 576
Option 4: 288
Correct Answer: 432
Solution : Let the side of the new cube be $a$. Square of the volume of a cuboid = Product of areas of three adjacent faces of the cuboid According to the question, $\Rightarrow 8a^3\ =\ \sqrt{\left ( 216\ \times 96\ \times 144 \right )}$ $\Rightarrow 8a^3\
Question :
RRBs are owned by :
Central Government
State Government
Sponsor Bank
Option 4: Jointly by all of the above
Correct Answer: Jointly by all of the above
Solution : The correct option is Jointly by all of the above.
Regional Rural Banks, or RRBs, are owned by a number of different organizations. A nationalized bank, which owns most of the shares, sponsors them. In addition, the sponsor bank, the
Question : Directions: By interchanging the given two signs which of the following equations will be not correct? – and ×
Option 1: 20 × 12 + 6 – 16 ÷ 8 = 20
Option 2: 16 × 91 ÷ 13 + 5 – 3 = 24
Option 3: 20 × 8 – 4 ÷ 2 + 3 = 7
Option 4: 4 × 5 – 36 ÷ 6 + 10 = 10
Correct Answer: 4 × 5 – 36 ÷ 6 + 10 = 10
Solution : Given: – and ×
Replace the given signs in the options one by one with the original signs in the given equation. First option: – and × 20 × 12 + 6 – 16 ÷
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