Staff Selection Commission Combined Graduate Level Exam
Question : Mercury is a:
Option 1: solid metal
Option 2: liquid metal
Option 3: Solid non-metal
Option 4: liquid non-metal
Correct Answer: liquid metal
Solution : The correct answer is liquid metal.
Mercury is a liquid metal at room temperature. Mercury is used in thermometers, barometers, manometers, sphygmomanometers, float valves, mercury switches, mercury relays, fluorescent lamps etc.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
Music can improve mood, decrease pain and anxiety, and facilitate opportunities for emotional expression. Research (1)______ that music can benefit our physical and mental health in numerous ways. Music can (2)______ the brain’s production of the hormone dopamine. This increased dopamine production helps (3)________ feelings of anxiety and depression. Music is processed directly by the amygdala, which is the part of the brain (4)________ in mood and emotions. By reducing stress levels and providing a strong competing stimulus to the pain (5) ________ that enter the brain, music therapy can assist in pain management.
Question:
Select the most appropriate option to fill in the blank 5.
Option 1: deter
Option 2: signals
Option 3: deform
Option 4: substance
Correct Answer: signals
Solution : The correct choice is the second option.
In the context of the sentence, the phrase "stimuli to the pain" suggests that there are signals related to pain entering the brain. The correct word to describe these signals is signals. The sentence implies that music
Question : Directions: Read the following pie chart carefully to answer the question. Distribution of sales of Hindi and English newspapers in five localities (A, B, C, D, and E).
English newspaper:
Hindi newspaper: What is the ratio of the average number of sales of English newspapers in localities B and D together to the average sale of Hindi newspapers in all the localities?
Option 1: 25 : 32
Option 2: 40 : 33
Option 3: 33 : 40
Option 4: 43 : 33
Correct Answer: 25 : 32
Solution : The average sales of English newspapers in localities B and D = $\frac{2000+3000}{2}$ = $\frac{5000}{2}$ = 2500 The average sale of Hindi newspapers in all the localities = $\frac{4000+2500+3600+2400+3500}{5}$ = $\frac{16000}{5}$ = 3200 The ratio of the average sales of English newspapers in
Question : If $p^{3}-q^{3}=(p-q)[(p+q)^{2}-xpq$, then the value of $x$ is:
Option 1: 1
Option 2: –1
Option 3: 2
Option 4: –2
Correct Answer: 1
Solution : Given: $p^{3}-q^{3}=(p-q)[(p+q)^{2}–xpq]$ ⇒ $p^{3}-q^{3}=(p-q)(p^{2}+q^{2}+2pq–xpq)$ ⇒ $p^{3}-q^{3}=(p-q)(p^{2}+q^{2}+pq(2-x)$ ----(1) We know the formula of $a^{3}-b^{3}=(a-b)(a^{2}+ab+b^{2})$ Comparing this with equation (1), we have: ⇒ $(2-x)=1$ ⇒ $x=1$ Hence, the correct answer is 1.
Question : The enzyme that converts glucose to ethyl alcohol is:
Option 1: Invertase
Option 2: Maltase
Option 3: Zymase
Option 4: Diastase
Correct Answer: Zymase
Solution : The correct option is - Zymase
Zymase is a complex of enzymes found in yeast cells, and it plays a key role in the fermentation process that converts glucose (or other sugars) into ethanol (ethyl alcohol) and carbon dioxide.
Question : Directions: In a certain code language, HABIT is written as ITAHB, and BASED is written as EDABS. How will GAMES be written in that language?
Option 1: ESAGM
Option 2: ESGAM
Option 3: ESAMG
Option 4: SEAGM
Correct Answer: ESAGM
Solution : Given: HABIT is written as ITAHB, and BASED is written as EDABS.
On reversing the letters of the word HABIT→TIBAH Now, shuffle the position of the reversed letters→
So, HABIT is written as ITAHB. On reversing the letters of the word BASED→DESAB Now, shuffle the
Question : The cost of a diamond is directly proportional to the square of its weight. The cost of a 14 gm diamond is INR 2,560. This diamond was broken down into two pieces in the ratio of 5 : 9. How much loss percentage is incurred due to this breakage? (Correct to two decimal places)
Option 1: 53.47%
Option 2: 49.71%
Option 3: 45.92%
Option 4: 55.41%
Correct Answer: 45.92%
Solution : Given: The cost of a diamond is directly proportional to the square of its weight. A 14-gram diamond costs Rs. 2,560. The fractured diamond pieces to total ratio is 5 : 9. Let the diamond's cost be $k\times (weight)^2$. ⇒ $2560=k\times (14)^2$ ⇒ $k=\frac{2560}{196}=13.06$ When
Question : Select the option that expresses the given sentence in indirect speech. He said, ‘Let us wait for the award.’
Option 1: He proposed that they should wait for the award.
Option 2: He said that he should wait for the award.
Option 3: He proposed that he should wait for the award.
Option 4: He said that they should waited for the award.
Correct Answer: He proposed that they should wait for the award.
Solution : The correct choice is the first option.
The transformation to indirect speech is as follows:
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 3, 8, 15, 26, 39, ?
Option 1: 61
Option 2: 49
Option 3: 52
Option 4: 56
Correct Answer: 56
Solution : Given: 3, 8, 15, 26, 39, ?
Add consecutive prime numbers (starting from 5) to each number in the given series to get the next number of the series. 3 + 5 = 8; 8 + 7 = 15; 15 + 11 = 26; 26
Question : The sum of the cubes of two given natural numbers is 9728, while the sum of the two given numbers is 32. What is the positive difference between the cubes of the two given numbers?
Option 1: 6272
Option 2: 5832
Option 3: 4662
Option 4: 7904
Correct Answer: 6272
Solution : Let the two numbers be a and b. Given, $a^3+b^3=9728$ and $a+b=32$ Now, $a^3+b^3=9728$ ⇒ $(a+b)^3–3ab(a+b)=9728$ ⇒ $32^3–3ab(32)=9728$ ⇒ $96ab=32768–9728$ ⇒ $ab=240$ ⇒ $(a–b)^2=(a+b)^2–4ab=32^2–4(240)=64$ ⇒ $a–b=8$ So, $a^3–b^3=(a–b)^3+3ab(a–b)=8^3+3(240)(8)=512+5760=6272$ Hence, the correct answer is 6272.
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