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Staff Selection Commission Combined Graduate Level Exam

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Question : If the numbers $\sqrt[3]{9}, \sqrt[4]{20}$ and $\sqrt[6]{25}$ are arranged in ascending order, then the right arrangement is:

Option 1: $\sqrt[6]{25}<\sqrt[4]{20}< \sqrt[3]{9}$

Option 2: $\sqrt[3]{9}<\sqrt[4]{20}<\sqrt[6]{25}$

Option 3: $\sqrt[4]{20}<\sqrt[6]{25}<\sqrt[3]{9}$

Option 4: $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$

Team Careers360 25th Jan, 2024

Correct Answer: $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$


Solution : Given: The numbers are $\sqrt[3]{9}$, $\sqrt[4]{20}$, $\sqrt[6]{25}$.
LCM of 3, 4, and 6 = 12
$⇒ \sqrt[3]{9}=9^{\frac{1}{3}}=9^{\frac{4}{12}}=\sqrt[12]{6561}$
$⇒ \sqrt[4]{20}=20^{\frac{1}{4}}=20^{\frac{3}{12}}=\sqrt[12]{8000}$
$⇒ \sqrt[6]{25}=25^{\frac{1}{6}}=25^{\frac{2}{12}}=\sqrt[12]{625}$
By comparing these values, we get:
$\sqrt[12]{625}<\sqrt[12]{6561}<\sqrt[12]{8000}$
$⇒\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$
Hence, the correct answer is $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$.

92 Views

Question : Ice is packed in sawdust because

Option 1: sawdust will not get melted easily

Option 2: sawdust is a poor conductor of heat

Option 3: sawdust is a good conductor of heat

Option 4: sawdust does not stick to the ice

Team Careers360 25th Jan, 2024

Correct Answer: sawdust is a poor conductor of heat


Solution : The correct answer is sawdust is a poor conductor of heat.

Heat conducts poorly through the sawdust. Heat is insulated by the air that is present in sawdust's tiny pores. This air prevents heat from the environment from reaching

36 Views

Question : 'Tsunami' is the name given to which of the following?

Option 1: Earthquake

Option 2: Cyclone 

Option 3: Tidal Waves

Option 4: Undersea Waves

Team Careers360 25th Jan, 2024

Correct Answer: Undersea Waves


Solution : The correct answer is Undersea waves.

Tsunami are high energy tidal waves which originate under the sea because of undersea volcanic eruption. Tsunami waves are not visible in ocean water but when they strike continental shelf their height goes on increasing, having a dangerous

20 Views

Question : Study the given graph and answer the question that follows.

The average production of fertilisers by country Z in 2017, 2018 and 2020 is what percentage more than the average production of fertilisers by country X in 2018 and 2020?

Option 1: 48%

Option 2: 32.4%

Option 3: 49.6%

Option 4: 45%

Team Careers360 25th Jan, 2024

Correct Answer: 48%


Solution : The average production of fertilisers by country Z in 2017, 2018 and 2020
= $\frac{330+360+420}{3}$
= $\frac{1110}{3}$
= $370$
The average production of fertilisers by country X in 2018 and 2020
= $\frac{240+260}{2}$
= $\frac{500}{2}$
= $250$
Required percentage = $\frac{370-250}{250}\times100=\frac{120}{250}\times 100= 48\%$
Hence, the

20 Views

Question : A trader marks his goods in such a way that after allowing a discount of 10%, he gains 15%. If an article costs him Rs. 720, his marked price is:

Option 1: Rs. 920

Option 2: Rs. 900

Option 3: Rs. 820

Option 4: Rs. 950

Team Careers360 25th Jan, 2024

Correct Answer: Rs. 920


Solution : Given: A trader marks his goods in such a way that after allowing a discount of 10%, he gains 15% and his cost price is Rs. 720.
Let the marked price = 100 units
Discount = 10%
So, the selling price = (100 –

25 Views

Question : Direction: Arrange the following words as per order in the dictionary.

(A) Necrology

(B) Necromancy

(C) Necropolis

(D) Necrophilia

Option 1: (A), (B), (C), (D)

Option 2: (A), (B), (D), (C)

Option 3: (B), (A), (C), (D)

Option 4: (B), (A), (D), (C)

Team Careers360 25th Jan, 2024

Correct Answer: (A), (B), (D), (C)


Solution : Given:

(A) Necrology

(B) Necromancy

(C) Necropolis

(D) Necrophilia

Start from Necrology because l comes before m

Necrology

Now, write Necromancy because m comes before p

Necromancy

Now, write Necrophilia because h comes before o

Necrophilia

11 Views

Question : Direction: In the following question, the Number of letters skipped in between adjacent letters in the series is successive even numbers. Which of the following series observes this rule?

Option 1: ADGJM

 

Option 2: BEJQZ

 

Option 3: BDGKQ

 

Option 4: FINUZ

 

Team Careers360 25th Jan, 2024

Correct Answer: BEJQZ

 


Solution : Let's check the option–

First option: ADGJM
A + 3 = D; D + 3 = G; G + 3 = J; J + 3 = M 
This option does not follow the given pattern.

Second option: BEJQZ
B + 3 = E; E +

288 Views

Question : Directions: If the 31st of January 2009 was a Saturday, then what was the day of the week on the 30th of January 2013?

Option 1: Tuesday

Option 2: Wednesday

Option 3: Monday

Option 4: Friday

Team Careers360 25th Jan, 2024

Correct Answer: Wednesday


Solution : Given:
The 31st of January 2009 is Saturday.

Calculate the days between Jan 31, 2009, and Jan 30, 2013.
Number of remaining days in 2009 ⇒ Feb = 28; March = 31; April = 30; May = 31; June = 30; July = 31; Aug

16 Views

Question : Which of the following is used to chemically test starch?

Option 1: Chlorine solution

Option 2: lodine solution

Option 3: Sulphur solution

Option 4: Bromine solution

Team Careers360 25th Jan, 2024

Correct Answer: lodine solution


Solution : The correct option is the Iodine solution.

Using a chemical reaction, the iodine-starch test may determine if starch or iodine is present. Iodine creates a blue-black complex when it interacts with starch. The test is performed by dabbing a sample with a few

73 Views

Question : Direction: Select the related word/ letters/ number from the given alternatives.

Y2 : 4 :: V2 : ?

Option 1: 9

Option 2: 25

Option 3: 49

Option 4: 16

Team Careers360 25th Jan, 2024

Correct Answer: 25


Solution : Given:

Y2 : 4 :: V2 : ?

Here, (Y)2 = 22 = 4.

So, (V)2 = 52 = 25.

Hence, second option is correct.

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