Staff Selection Commission Combined Graduate Level Exam
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: $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$
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 $\sqrt[6]{25}<\sqrt[3]{9}<\sqrt[4]{20}$.
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
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
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
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
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%
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
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
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 –
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)
Correct Answer: (A), (B), (D), (C)
Solution : Given:
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
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
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 +
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
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
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
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
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
Correct Answer: 25
Here, (Y)2 = 22 = 4.
So, (V)2 = 52 = 25.
Hence, second option is correct.
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