Staff Selection Commission Combined Graduate Level Exam
Question : A sum of money amounts to INR 767 in 3 years, and to INR 806 in 4 years on simple interest at 6% per annum. What is the sum?
Option 1: INR 600
Option 2: INR 560
Option 3: INR 675
Option 4: INR 650
Correct Answer: INR 650
Solution : Given, A sum of money amounts to INR 767 in 3 years, and to INR 806 in 4 years on simple interest at 6% annum. Interest for 1 year = 806 – 767 = INR 39 ⇒ Interest in 3 years = 39 ×
Question : Directions: Three different positions of the same dice are shown (figures 1 to 3). Find the number on the face opposite to the face having 1.
Option 1: 3
Option 2: 6
Option 3: 5
Option 4: 4
Correct Answer: 4
Solution : Taking dice positions 1 and 3 with 4 as the common face –
Moving clockwise from the common face with 4 –
Pairs of opposite faces –
So, the opposite face to the face containing 1 is 4. Hence, the fourth option is correct.
Question : A train, 500 metres long and running at a uniform speed, passes a station in 35 seconds. If the length of the platform is 221 metres, the speed of the train in km/h is:
Option 1: $72\frac{1}{35}$
Option 2: $74.16$
Option 3: $24.76$
Option 4: $78.54$
Correct Answer: $74.16$
Solution : Given: The distance of the train is 500 m and the length of the platform is 221 m. The time taken by the train is 35 seconds. We know that, $\text{Speed}=\frac{\text{Distance}}{\text{Time}}$. Total distance = 500 + 221 = 721 m $\text{Speed}=\frac{721}{35}$ m/s To convert m/s
Question : Directions: Consider the given statements to be true, even if they seem to be at variance from commonly known facts. You have to decide which of the following conclusions or assumptions be drawn from the given statement. Statements: I. All that glitter is not gold. II. Sujatha wears gold ornament. Conclusions: I. Sujatha's ornament glitters. II. Sujatha's ornament does not glitter.
Option 1: Only conclusion I follows
Option 2: Only conclusion II follows
Option 3: Both conclusions I and II follow
Option 4: Neither conclusion I nor II follows
Correct Answer: Neither conclusion I nor II follows
Solution : Let's analyse the conclusions – Conclusion I: Sujatha's ornament glitters. According to the statement, all that glitters is not gold. Here, Sujatha wears a gold ornament which may or may not glitter. Therefore, this conclusion doesn't follow. Conclusion II: Sujatha's
Question : Which of the following elements is more reactive than copper?
Option 1: Gold
Option 2: Zinc
Option 3: Silver
Option 4: Platinum
Correct Answer: Zinc
Solution : The correct option is Zinc.
Reactivity in metals is often related to their position in the reactivity series. The reactivity series is a list of metals arranged in order of their tendency to lose electrons and form positive ions. In this series, zinc is
Question : In which year did Kyoto Protocol came into force?
Option 1: 2004
Option 2: 2005
Option 3: 2006
Option 4: 2007
Correct Answer: 2005
Solution : The correct option is 2005
The Kyoto Protocol is an international agreement that sets legally binding goals for industrialised nations to cut their emissions of greenhouse gases to combat climate change. It was enacted in Kyoto, Japan, on December 11, 1997, and became operative from
Question : Directions: Which two signs and two numbers should be interchanged in the following equation to make it correct? 13 − 65 ÷ 45 × 21 + 2 = 82
Option 1: 65 and 13, × and +
Option 2: 45 and 13, × and +
Option 3: 45 and 21, × and +
Option 4: 45 and 13, − and +
Correct Answer: 45 and 13, × and +
Solution : Given: 13 − 65 ÷ 45 × 21 + 2 = 82
Replace the given numbers and symbols in the options one by one with the original numbers and symbols in the given equation. First option: 65 and 13, ×
Question : ABCD is a quadrilateral. The length of the diagonal AC is 24 cm. The sum of the perpendicular drawn from vertex B and D on the diagonal AC is 10 cm. What is the area of the quadrilateral?
Option 1: 240 cm2
Option 2: 180 cm2
Option 3: 120 cm2
Option 4: 90 cm2
Correct Answer: 120 cm2
Solution : Given: $d=24$ cm and $h_1+h_2=10$ cm. The area of the quadrilateral $=\frac{1}{2}\times(h_1+h_2)\times d$ where $d$ and $(h_1+h_2)$ are its diagonals and sum of heights. So, the area $=\frac{1}{2}\times10\times 24=120$ cm2 Hence, the correct answer is 120 cm2.
Question : Select the most appropriate meaning of the underlined idiom in the given sentence. If the audit report shows anomalies, the finance manager will be brought to book.
Option 1: given a promotion
Option 2: rewarded suitably
Option 3: supported fully
Option 4: held accountable
Correct Answer: held accountable
Solution : The fourth option is the correct choice.
Brought to book refers to reprimanding or requiring someone to explain his conduct.
Hence, the correct meaning of the given idiomatic expression is, held accountable.
Question : Which of the following statements is correct? I. If $K+\frac{1}{K}=12$, then ${K}^2+\frac{1}{K^2}=142$ II. The value of $({k}^2+\frac{1}{{k}^2})({k}-\frac{1}{{k}})({k}^4+\frac{1}{{k}^4})({k}+\frac{1}{{k}})$ is ${k}^{16}-\frac{1}{{k}^{16}}$
Option 1: Only I
Option 2: Neither I nor II
Option 3: Both I and II
Option 4: Only II
Correct Answer: Only I
Solution : I. $K+\frac{1}{K}=12$ Squaring, $(K+\frac{1}{K})^2=12^2$ ⇒ ${K}^2+\frac{1}{K^2}+2=144$ ⇒ ${K}^2+\frac{1}{K^2}=142$ So the first statement is correct. II. $({k}^2+\frac{1}{{k}^2})({k}-\frac{1}{{k}})({k}^4+\frac{1}{{k}^4})({k}+\frac{1}{{k}})$ = $({k}^2+\frac{1}{{k}^2})({k}^2-\frac{1}{{k}^2})({k}^4+\frac{1}{{k}^4})$ = $({k}^4-\frac{1}{{k}^4})({k}^4+\frac{1}{{k}^4})$ = $({k}^8-\frac{1}{{k}^8})$ So, the second statement is not correct. Hence, the correct answer is only I.
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