Staff Selection Commission Combined Graduate Level Exam
Question : A line of length 1.5 metres was mistakenly measured as 1.55 metres. What is the percentage error in the measurement?
Option 1: $0.05$%
Option 2: $3\frac{7}{31}$%
Option 3: $3\frac{1}{3}$%
Option 4: $0.5$%
Correct Answer: $3\frac{1}{3}$%
Solution : Given: A line of length 1.5 metres was measured as 1.55 metres by mistake. Wrong Number = 1.55 metres Actual Number = 1.5 metres Error percentage = $\frac{\text{Wrong number – Actual number}}{\text{Actual number}}$ × 100 = $\frac{1.55-1.5}{1.5}$ × 100 = $\frac{0.05}{1.5}$ × 100 = $\frac{5}{1.5}$%
Question : Directions: In this question, a sentence is given with a blank to be filled in with an appropriate word. Four alternatives are suggested for each question. Choose the correct alternative out of the four alternatives.
Lata Mangeshkar was ___ with a natural talent for music.
Option 1: Given
Option 2: found
Option 3: endowed
Option 4: entrusted
Correct Answer: endowed
Solution : The correct word to fill in the blank is the third option.
This means to be naturally gifted or possessed of a particular quality or talent. In the context of the sentence, it conveys the idea that Lata Mangeshkar had an inherent, natural talent for
Question : Which state is famous for celebrating the Majuli festival?
Option 1: Manipur
Option 2: Assam
Option 3: Sikkim
Option 4: Meghalaya
Correct Answer: Assam
Solution : The correct answer is Assam.
Majuli festival is held in the country's northeastern state of Assam. The event takes place on the banks of the River Luit, which has the world's largest river island. Every year on November 21, this celebration begins and ends on
Question : Directions: The weights of the 4 boxes are 90, 40, 80, and 50 kilograms. Which of the following cannot be the total weight, in kilograms, of any combination of these boxes, and in a combination a box can be used only once?
Option 1: 200
Option 2: 260
Option 3: 180
Option 4: 170
Correct Answer: 200
Solution : Given: The weights of 4 boxes are 90, 40, 80, and 50 kilograms.
The total weight of all possible combinations of boxes is as follows – 90 + 40 = 130; 90 + 80 = 170; 90 + 50 = 140; 40 + 80 =
Question : Select the correct direct form of the given sentence. Neha exclaimed that it was a very pleasant surprise.
Option 1: Neha said, “Is it a very pleasant surprise?”
Option 2: Neha said, “How a pleasant surprise!”
Option 3: Neha said, “It is a very pleasant surprise.”
Option 4: Neha said, “What a pleasant surprise!”
Correct Answer: Neha said, “What a pleasant surprise!”
Solution : The correct choice is the fourth option.
Direct speech involves quoting the exact words spoken by a person without any changes.
The steps of conversion are as follows:
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * and balance the given equation. 76 * 34 * 23 * 12 * 6 * 21
Option 1: +, –, +, ÷, =
Option 2: –, –, +, +, =
Option 3: ×, –, +, ÷, =
Option 4: –, –, +, ÷, =
Correct Answer: –, –, +, ÷, =
Solution : Given: 76 * 34 * 23 * 12 * 6 * 21
On replacing * with the mathematical signs, we get – First option: +, –, +, ÷, = ⇒ 76 + 34 – 23 + 12 ÷ 6 = 21
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. Scarcely had I / started reading / the paper / then the doorbell rang.
Option 1: Scarcely had I
Option 2: started reading
Option 3: then the doorbell rang
Option 4: the paper
Correct Answer: then the doorbell rang
Solution : The error lies in the third option.
The reason for the error is that then is not the appropriate conjunction to connect the two actions in this context.
When is the correct choice to indicate the immediate sequence of events, as scarcely
Question : Rs.11,500 has to be divided between X, Y, and Z such that X gets $\frac{4}{5}$th of what Y gets and Y gets $\frac{2}{3}$rd of what Z gets. How much more does Z get over X (in Rs.)?
Option 1: 7200
Option 2: 1800
Option 3: 1170
Option 4: 2450
Correct Answer: 2450
Solution : Given: Rs.11,500 has to be divided between X, Y, and Z such X gets $\frac{4}{5}$th of what Y gets and Y gets $\frac{2}{3}$rd of what Z gets. Let Z get Rs. $p$. From the question, Y will get $\frac{2p}{3}$ and X will obtain $\frac{2p}{3}×\frac{4}{5}=\frac{8p}{15}$ Also,
Question : Directions: Select the option that is related to the fifth letter cluster in the same way as the second letter cluster is related to the first letter cluster and the fourth letter cluster is related to the third letter cluster. ACCUSED : UCCASDE :: FACTORY : TCAFOYR :: DYNAMIC : ?
Option 1: YNMICAD
Option 2: DNYMACI
Option 3: ANYDMCI
Option 4: DANYMIC
Correct Answer: ANYDMCI
Solution : Given: ACCUSED : UCCASDE :: FACTORY : TCAFOYR :: DYNAMIC : ?
Here, the letters of the given words are being shuffled following a certain pattern as shown below – ACCUSED : UCCASDE→
FACTORY : TCAFOYR→
Similarly, follow the same pattern for DYNAMIC→
So, ANYDMCI
Question : The monthly income of a person was INR 12,000 and his monthly expenditure was INR 8,000. Next year, his income increased by 10% and his expenditure by 8%. Find the percentage increase in his savings.
Option 1: 10%
Option 2: 14%
Option 3: 12%
Option 4: 15%
Correct Answer: 14%
Solution : Given: Monthly Income = INR 12000 Monthly Expenditure = INR 8000 Increase in income = 10% Increase in expenditure = 8% Solution: Savings before increase = 12000 – 8000 = INR 4000 Increase in income = 12000 + $\frac{10}{100}$ × 12000 = INR 13200 Increase
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