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Staff Selection Commission Combined Graduate Level Exam

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Question : If the difference between the compound interest and simple interest on a sum of money for 3 years is Rs. 186, find the sum of money, if the interest rate in both cases is 10%.

Option 1: Rs. 5,500

Option 2: Rs. 7,200

Option 3: Rs. 6,500

Option 4: Rs. 6,000

Team Careers360 16th Jan, 2024

Correct Answer: Rs. 6,000


Solution : Given: Difference = Rs. 186
Rate = 10%
Time = 3 years
By applying the formula for finding the difference between CI and SI:
Difference = Principal$(\frac{R}{100})^2(\frac{R}{100}+3)$
⇒ 186 = Principal$(\frac{10}{100})^2(\frac{10}{100}+3)$
⇒ 186 = Principal$(\frac{1}{10})^2(\frac{1}{10}+3)$
⇒ 186 = Principal$(\frac{1}{100})(\frac{31}{10})$
Principal = $(\frac{186×10×100}{31})$ = 6000

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Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".

I welcome all the delegates (on behalf of) ABC Corporation.

(1) on the account of 

(2) on the parts of

(3) for

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 18th Jan, 2024

Correct Answer: (4)


Solution : The correct choice is the fourth option.

The bracketed part of the sentence "on behalf of" is the correct choice to express that you are welcoming the delegates as a representative of ABC Corporation. None of the other options improve the sentence.

The correct answer

20 Views

Question : Directions: Introducing a lady, a lady said, "She is the only daughter of Mohan's grandfather who is my husband's father". How does the lady relate herself to the introduced lady?

Option 1: Aunt

Option 2: Mother

Option 3: Mother-in-law

Option 4: Sister-in-law

Team Careers360 19th Jan, 2024

Correct Answer: Sister-in-law


Solution : As per the given information, the family tree will be as follows –

Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.

So, from the above family tree, the lady is the sister-in-law of the introduced lady. Hence,

14 Views

Question : A businessman's earnings increased by 25% in one year but decreased by 4% in the next. Going by this pattern, after 5 years, his total earnings would be Rs. 72,000. What is his present income?

Option 1: Rs. 10,000

Option 2: Rs. 80,000

Option 3: Rs. 40,000

Option 4: Rs. 54,000

Team Careers360 24th Jan, 2024

Correct Answer: Rs. 40,000


Solution : Let the present income be Rs. $x$
According to the question,
$x × 1.25 × 0.96 × 1.25 × 0.96 × 1.25 = 72000$
⇒ $x = \frac{72000}{1.25 × 0.96 × 1.25 × 0.96 × 1.25}$
⇒ $x = \frac{72000}{1.2 × 1.2 × 1.25}$

12 Views

Question : Directions: If in a code GONE is written as ILPB, then how may CRIB be written in that code?

Option 1: EUKY

Option 2: EKUY

Option 3: EYUK

Option 4: EOKY

Team Careers360 17th Jan, 2024

Correct Answer: EOKY


Solution : Given:
GONE is written as ILPB.

Add two and subtract three alternatively to the place values of the letters of GONE, to get the code –
G + 2 = I; O – 3 = L; N + 2 = P; E – 3 =

16 Views

Question : The base of a right pyramid is an equilateral triangle with a side of 8 cm, and its height is $30 \sqrt{3}$ cm. The volume (in cm$^3$ ) of the pyramid is:

Option 1: $240 \sqrt{3}$

Option 2: $360 \sqrt{3}$

Option 3: $480$

Option 4: $360$

Team Careers360 19th Jan, 2024

Correct Answer: $480$


Solution : Volume of pyramid = $\frac{1}{3}$ × area of base × height
= $\frac{1}{3}$ × area of equilateral triangle × height
= $\frac{1}{3}×\frac{\sqrt3}{4}$ ​​× (8)2 × $30 \sqrt{3}$
=  $\frac{\sqrt3}{4}$ ​​×64
= 480 cm3
Hence, the correct answer is $480$.

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