Staff Selection Commission Combined Graduate Level Exam
Question : A shopkeeper advertises for selling clothes at a 7% loss. However, by using a false scale of length 1 metre he gains 24%. What will be the actual length he uses instead of 1 metre?
Option 1: 75 cm
Option 2: 31 cm
Option 3: 76 cm
Option 4: 93 cm
Correct Answer: 75 cm
Solution : Let the length of scale be $x$ metres. Let the cost price per meter cloth be Rs. 100 Now, the shopkeeper advertises to sell cloth at a 7% loss i.e. Rs. 93/metre But actually, he sells $x$ meters for Rs. 93 and gains 24%
Question : Direction: In the following question,one / two statements are given followed by two Conclusions /assumptions I and II. You have to consider the statement to be true, even if it seems to be at variance from commonly known facts. You are to decide which of the given conclusions can be definitely be drawn from the given statement.
Statement: A good book even if costly is sold out in no time.
Conclusions:
I. Some books are better than others.
II. All good books are costly.
Option 1: Only II follows.
Option 2: Both I and II follows.
Option 3: Only I follows.
Option 4: Neither I nor II follows.
Correct Answer: Neither I nor II follows.
Solution : Conclusion I: Some books are better than others. The above given statement, does not strongly states whether a book is good or bad.
Conclusion II: All good books are costly. From the given statements, it can be said that a good
Question : If $\triangle A B C \sim \triangle F D E$ such that $A B=9 \mathrm{~cm}, A C=11 \mathrm{~cm}, D F=16 \mathrm{~cm}$ and $D E=12 \mathrm{~cm}$, then the length of $BC$ is:
Option 1: $5 \frac{3}{4} \mathrm{~cm}$
Option 2: $4\frac{3}{5} \mathrm{~cm}$
Option 3: $3\frac{5}{7} \mathrm{~cm}$
Option 4: $6\frac{3}{4} \mathrm{~cm}$
Correct Answer: $6\frac{3}{4} \mathrm{~cm}$
Solution : Given: $A B=9 \mathrm{~cm}, A C=11 \mathrm{~cm}, D F=16 \mathrm{~cm}$ and $D E=12 \mathrm{~cm}$ $\triangle ABC \sim \triangle FDE$ Now, $\frac{AB}{DF}= \frac{BC}{DE}$ Substituting the given values: ⇒ $\frac{9}{16}= \frac{BC}{12}$ $⇒BC = 12 \times \frac{9}{16} = 6\frac{3}{4} \mathrm{~cm}$ Hence, the correct answer is $6\frac{3}{4} \mathrm{~cm}$.
Question : Directions: In the following question, a series is given with one alphabet missing. Choose the correct alternative from the ones given that will complete the series. R, M, I, F, D, ?
Option 1: B
Option 2: C
Option 3: A
Option 4: E
Correct Answer: C
Solution : Given: R, M, I, F, D, ?
Subtract consecutive numbers starting from 5 in decreasing order to find the required alphabet. R – 5 = M; M – 4 = I; I – 3 = F; F – 2 = D; D – 1 =
Question : Two motorists start together to travel to a certain destination, one at the speed of 4 km/h and the other at the speed of 6 km/h. Find the distance travelled by them (in km) if the motorist travelling at 4 km/h arrives half an hour after the other motorist.
Option 1: 8
Option 2: 5
Option 3: 6
Option 4: 4
Correct Answer: 6
Solution : Given: Speed of first motorist = 4 km/h Speed of second motorist = 6 km/h Let the distance be $x$ km. According to the question, ⇒ $\frac{x}{4}–\frac{x}{6}=\frac{1}{2}$ ⇒ $\frac{3x–2x}{12}=\frac{1}{2}$ ⇒ $2x=12$ ⇒ $x=6$ km Hence, the correct answer is 6.
Question : The first edition of the Commonwealth Youth Games was held at __________.
Option 1: Edinburgh
Option 2: Sydney
Option 3: Melbourne
Option 4: Brisbane
Correct Answer: Edinburgh
Solution : The correct option is Edinburgh.
In 2000, Edinburgh, Scotland, hosted the inaugural Commonwealth Youth Games. The event provided young athletes from various Commonwealth nations with the opportunity to compete in a multi-sport competition, fostering international friendship and sportsmanship.
Question : Two numbers $x$ and $y$ are such that their mean proportion is 9 and the third proportion is 243. What are the values of $x$ and $y$?
Option 1: 3 and 9
Option 2: 3 and 27
Option 3: 6 and 27
Option 4: 6 and 81
Correct Answer: 3 and 27
Solution : Two given numbers are $x$ and $y$. The mean proportion between $x$ and $y$ is 9. ⇒ $x:9=9:y$ ⇒ $\frac{x}{9}=\frac{9}{y}$ $⇒x=\frac{81}{y}$ ------------------------------(1) The third proportion to $x$ and $y$ is 243. ⇒ $x:y=y:243$ ⇒ $\frac{x}{y}=\frac{y}{243}$ By putting the value of $x$, we get,
Question : Which edition of the India International Trade Fair (IITF) took place in the year 2021?
Option 1: 40th
Option 2: 39th
Option 3: 38th
Option 4: 41st
Correct Answer: 40th
Solution : The correct option is 40th.
The India International Trade Fair (IITF) is an annual event organised by the India Trade Promotion Organisation (ITPO). IITF 2021 was held on 14th - 27th November at Pragati Maidan in New Delhi. It is one of the largest
Question : If the five-digit number 235xy is divisible by 3,7 and 11, then what is the value of (3x - 4y)?
Option 1: 10
Option 2: 8
Option 3: 9
Option 4: 5
Correct Answer: 10
Solution : Given, Five-digit number 235xy is divisible by 3, 7, and 11 Divisibility rule of 3: The sum of its digit is divisible by 3. Divisibility rule of 7: To make a pair of 3 from the unit digits then subtract the leftover pair, The result
Question : Which of the following organic compounds is synonymous with olefiant gas which is used to make anaesthetics, refrigerants and other chemicals?
Option 1: Ethylene
Option 2: 1-Pentene
Option 3: Methane
Option 4: Butane
Correct Answer: Ethylene
Solution : The correct option is Ethylene.
Ethylene, also referred to as ethene, is the organic compound that is synonymous with olefiant gas. With the chemical formula C2H4, it is a colourless and flammable gas extensively utilized in a range of industrial applications.
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