Staff Selection Commission Combined Graduate Level Exam
Question : Find the fraction which bears the same ratio to $\frac{1}{27}$ that $\frac{3}{7}$ does to $\frac{5}{9}$.
Option 1: $\frac{5}{9}$
Option 2: $\frac{1}{35}$
Option 3: $\frac{45}{7}$
Option 4: $\frac{7}{45}$
Correct Answer: $\frac{1}{35}$
Solution : Let the required fraction be $x$. As per the question, $\frac{x}{\frac{1}{27}}=\frac{\frac{3}{7}}{\frac{5}{9}}$ ⇒ $27x=\frac{27}{35}$ $\therefore x=\frac{1}{35}$ Hence, the correct answer is $\frac{1}{35}$.
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".
He spoke as though his throat (had had) suffered an injury
(1) has had
(2) had
(3) would have
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (2)
Solution : The sentence can be improved using the second option.
The presence of "as though" indicates that the sentence is in a subjunctive mood. The verb "had" in the past perfect tense is used in the subjunctive mood to express a hypothetical or imaginary situation that
Question : If the side of an equilateral triangle is 16 cm, then what is its area?
Option 1: $81 \sqrt{3} \mathrm{~cm}^2$
Option 2: $48 \sqrt{3} \mathrm{~cm}^2$
Option 3: $32 \sqrt{3} \mathrm{~cm}^2$
Option 4: $64 \sqrt{3} \mathrm{~cm}^2$
Correct Answer: $64 \sqrt{3} \mathrm{~cm}^2$
Solution : Given: Sides of the triangle = 16 cm Area of an equilateral triangle with sides $a$ = $\frac{\sqrt3}{4} (a)^2$ $=\frac{\sqrt3}{4}\times 16\times 16$ $= 64\sqrt{3}$ Hence, the correct answer is $64\sqrt3\ \mathrm{cm^2}$.
Question : Alcohol is more volatile than water because ________ is lower than water.
Option 1: its boiling point
Option 2: its density
Option 3: its viscosity
Option 4: its surface tension
Correct Answer: its boiling point
Solution : The correct answer is its boiling point.
Because of its low boiling point of 78°C, distilling alcohol yields a much stronger solution than wine or beer. Because they are less polar than water, drinking alcohol (ethanol), and many other simple alcohols are more
Question : Two rifles are fired from the same place at a difference of 11 minutes 45 seconds. But a man who is coming towards the same place on a train hears the second sound after 11 minutes. Find the speed of the train (Assuming the speed of sound = 330 m/s).
Option 1: 72 km/h
Option 2: 36 km/h
Option 3: 81 km/h
Option 4: 108 km/h
Correct Answer: 81 km/h
Solution : Given: Time interval between two rifle fires = 11 minutes 45 seconds = 705 seconds Time taken for the man to hear the second sound = 11 minutes = 660 seconds Formula used: Distance travelled by the man on a train in 11 minutes
Question : Select the INCORRECTLY spelt word in the following sentence. Rather than being aggressive, you should be accomodative, magnanimous and benevolent in nature.
Option 1: accomodative
Option 2: magnanimous
Option 3: aggressive
Option 4: benevolent
Correct Answer: accomodative
Solution : The first option is the correct answer.
The incorrectly spelled word in the sentence is accomodative. The correct spelling is accommodative, meaning willing to adapt or help others.
The meanings of other options are as follows:
Magnanimous means willing to forgive, not resentful, and generous
Question : Rearrange the parts of the sentence in correct order.
Kemp's ridleys are P. usually found in nearshore and Q. inshore waters of the northern R. Gulf of Mexico, especially in Louisiana waters, S. which are their primary feeding grounds.
Option 1: SRQP
Option 2: QPSR
Option 3: PQRS
Option 4: PRSQ
Correct Answer: PQRS
Solution : The right option is the third option: PQRS.
The complete sentence provides information about the typical habitats of Kemp's ridley sea turtles, particularly highlighting their presence in nearshore and inshore waters of the northern Gulf of Mexico, notably within Louisiana waters, which serve as
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the options given. Select the most appropriate option for each number. Castles are home to a rich history. From blood feuds to tragic pasts, (1)______ love affairs to alleged ghosts, no castle is ever (2)______ a secret to unveil. Known locally as Chateaux Picomtal, Picomtal Castle (3)______ came under new ownership. During the renovation of the (4)______, a surprising discovery was made. Messages (5)______long ago were found on the floorboards of (6)______ upper chambers. The messages were written (7)______1880 and 1881 by Joachim Martin; the carpenter (8)______ installed the flooring. His messages were a diary of 72 entries of his daily (9)______, personal thoughts along with his emotions and feelings. Joachim’s (10)______is indeed a very personal account of the history of those times. The discovery gives us an honest look at an average person’s daily life over 135 years ago. Question: Select the most appropriate option to fill in the blank no. 7.
Option 1: between
Option 2: among
Option 3: across
Option 4: from
Correct Answer: between
Solution : The correct choice will be the first option.
The sentence structure suggests that the missing word should be a preposition that indicates the time frame within which the messages were written. Between is the most suitable option in this context, indicating the time between the
Question : Before the battle, the ratio of tanks to planes in an army was 5 : 3. During the war, 1000 tanks were destroyed and 800 planes were destroyed. The ratio of tanks to planes became 2 : 1, what was the number of tanks after the war?
Option 1: 2000
Option 2: 1000
Option 3: 3000
Option 4: 4000
Correct Answer: 2000
Solution : Given: Before the battle, the ratio of tanks to planes in an army was 5 : 3. Let the number of tanks before battle = $5x$ and the number of planes before battle = $3x$. During the war, 1000 tanks and 800 planes were destroyed.
Question : The pair of compounds used as anaesthetic in medicines :
Option 1: Ether, Ammonia
Option 2: Nitrous oxide, Chloroform
Option 3: Chloroform, Nitrogen dioxide
Option 4: Nitrogen dioxide, Ether
Correct Answer: Nitrous oxide, Chloroform
Solution : The correct option is Nitrous oxide, Chloroform.
One of the first anesthetics was nitrous oxide. It is a gas that has no color or smell. It is not appropriate for severe surgical anesthesia, while it can cause a mild sedative and analgesic condition.
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