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Staff Selection Commission Combined Graduate Level Exam

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Question : A merchant buys 25 litres of milk daily at the rate of Rs. 12 per litre. He mixes 5 litres of water in it and sells it at the rate of Rs. 10.40 per litre. His profit percentage is:

Option 1: 8% profit

Option 2: 2% profit

Option 3: 4% profit

Option 4: 6% profit

Team Careers360 18th Jan, 2024

Correct Answer: 4% profit


Solution : The cost price (CP) of 25 litres of milk at Rs. 12 per kg = (25 × 12) = Rs. 300
Cost price of 5 litres of water at Rs. 0 = 5 × 0 = 0
Total quantity of mixture = 25 +

25 Views

Question : If $\sqrt{5x-6}+\sqrt{5x+6}=6$, then what is the value of $x$?

Option 1: – 4

Option 2: 0

Option 3: 2

Option 4: 4

Team Careers360 10th Jan, 2024

Correct Answer: 2


Solution : Given: $ \sqrt{5x-6}+\sqrt{5x+6}=6$
Squaring both sides,
⇒ $(\sqrt{5x-6}+\sqrt{5x+6})^2=6^2$
⇒ $(5x-6)+(5x+6)+2(\sqrt{5x-6}\sqrt{5x+6})=36$
⇒ $10x+2(\sqrt{25x^2-36} )=36$
⇒ $(\sqrt{25x^2-36} )=18-5x$
Again, squaring both sides,
⇒ $({25x^2-36} )=324+25x^2-180x$
⇒ $324+36 =180x$
⇒ $360 =180x$
⇒ $ x=\frac{360}{180}$
$\therefore x =2$
Hence, the correct answer is 2.

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Question : Directions: In the following question, find the odd letter cluster from the given alternatives.

Option 1: DEB

Option 2: RTP

Option 3: HIF

Option 4: NOL

Team Careers360 14th Jan, 2024

Correct Answer: RTP


Solution : Let's check the options –
First option: DEB; D + 1 = E; E – 3 = B
Second option: RTP; R + 2 = T; T – 4 = P
Third option: HIF; H + 1 = I; I – 3 = F
Fourth

21 Views

Question : Select the option that expresses the given sentence in passive voice.

She is laughing at me.

Option 1: I am being laughed at by her.

Option 2: I have been laughed by her.

Option 3: I was being laughed at by her.

Option 4: I had been laughed by her.

Team Careers360 23rd Jan, 2024

Correct Answer: I am being laughed at by her.


Solution : The correct choice is the first option.

Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in

22 Views

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 will not buy (some) mangoes.

(1) a little 

(2) much 

(3) any

(4) No Improvement

Option 1: (1)

Option 2: (2)

Option 3: (3)

Option 4: (4)

Team Careers360 23rd Jan, 2024

Correct Answer: (3)


Solution : The correct option to improve the sentence is: any

Explanation: This option is grammatically correct. It uses the word any to indicate that the speaker is not going to buy any mangoes. The word any is used for interrogative and negative sentences.

The meanings of

20 Views

Question : If $720 \div 8 + 915 \div 15 - m + 32 \times 5 = 1104 \div 16 \times 111 \div 37$, the value of m is:

Option 1: 104

Option 2: 518

Option 3: 207

Option 4: 311

Team Careers360 5th Jan, 2024

Correct Answer: 104


Solution : $720 \div 8 + 915 \div 15 - m + 32 \times 5 = 1104 \div 16 \times 111 \div 37$
$⇒90 + 61 - m + 160 = 69 \times 3$
$⇒311 - m = 207$
$\therefore m = 104$
Hence, the correct answer

17 Views

Question : The sum of three consecutive natural numbers, each divisible by 5, is 225. The largest of them is:

Option 1: 85

Option 2: 75

Option 3: 70

Option 4: 80

Team Careers360 9th Jan, 2024

Correct Answer: 80


Solution : Given: The sum of three consecutive natural numbers, each divisible by 5, is 225.
Let the numbers be $5x, 5x + 5, 5x + 10$.
So, $5x + 5x + 5 + 5x + 10 = 225$
⇒ $15x + 15 = 225$
⇒ $15x

238 Views

Question : Directions: In a certain code language, TABLE is coded as ELEAT, and SWING is coded as GNLWS. How will FRAME be coded in the same language?

Option 1: EMERF

Option 2: EMDRF

Option 3: ERMDF

Option 4: MEDFR

Team Careers360 18th Jan, 2024

Correct Answer: EMDRF


Solution : Given:
TABLE is coded as ELEAT and SWING is coded as GNLWS.

Reverse the order of the letters and add 3 to the place value of the middle letter of the word TABLE to get the required code –
Like, TABLE is coded as ELEAT;

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