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Staff Selection Commission Combined Graduate Level Exam

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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

Team Careers360 23rd Jan, 2024

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 ×

20 Views

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

Team Careers360 22nd Jan, 2024

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.

16 Views

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: $78.54$

Team Careers360 20th Jan, 2024

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

15 Views

Question : Which of the following elements is more reactive than copper?

Option 1: Gold

Option 2: Zinc

Option 3: Silver

Option 4: Platinum

Team Careers360 19th Jan, 2024

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

20 Views

Question : In which year did Kyoto Protocol came into force?

Option 1: 2004

Option 2: 2005

Option 3: 2006

Option 4: 2007

Team Careers360 20th Jan, 2024

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

19 Views

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 +

Team Careers360 19th Jan, 2024

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, ×

60 Views

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

Team Careers360 23rd Jan, 2024

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.

13 Views

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

Team Careers360 17th Jan, 2024

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.

19 Views

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

Team Careers360 19th Jan, 2024

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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