Staff Selection Commission Combined Graduate Level Exam
Question : Benny can do a piece of work in 24 days. Chethan and David can do the same work individually in 36 and 48 days, respectively. All of them begin the work together. However, Benny leaves the work 4 days before the completion of work and Chethan leaves the work 10 days before the completion of the work. David worked till the end and completed the work. Find the number of days in which the work was completed.
Option 1: 16
Option 2: 20
Option 3: 18
Option 4: 15
Correct Answer: 16
Solution : The rates of work per day at which Benny, Chethan, and David can complete the work are $\frac{1}{24}$,$\frac{1}{36}$, and $\frac{1}{48}$ respectively. Let the total time taken to complete the work be $T$ days. Benny worked for ($T - 4$) days, Chethan worked for ($T -
Question : Humidity is measured by Which of the following?
Option 1: Lactometer
Option 2: Polarimeter
Option 3: Thermometer
Option 4: Hygrometer
Correct Answer: Hygrometer
Solution : The correct option is the Hygrometer.
A Hygrometer is used to measure humidity. Hygrometers measure the amount of moisture in the air, which is crucial for weather, comfort, and natural processes. Relative humidity (RH), a measurement that compares the amount of water vapour in the
Question : Directions: Select the figure from among the given options that can replace the question mark (?) in the following series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figures – 1. The figure inside the box rotates by 90° in the clockwise direction. 2. The letters present in each box are consecutive letters. 3. The position of the letters is shifting in the clockwise direction from one box to another.
Question : As of April 2022, who among the following is the Chairman of the National Green Tribunal?
Option 1: Adarsh Kumar Goel
Option 2: Uday Umesh Lalit
Option 3: Anoop Kumar Mendiratta
Option 4: Vikram Nath
Correct Answer: Adarsh Kumar Goel
Solution : Correct answer is Adarsh Kumar Goel
National green tribunal established in 2010, NGT is a specialized judicial body for the environment cases in the country. NGT headquarter or the principal place of sitting of the Tribunal is at New Delhi
In April 2022
Question : The law of demand states that:
Option 1: if the price of a good increases, the demand for that good decreases
Option 2: if the price of a good increases, the demand for that good increases
Option 3: if the price of a good increases, the quantity demanded of that good decreases
Option 4: if the price of a good increases, the quantity demanded of that good increases
Correct Answer: if the price of a good increases, the quantity demanded of that good decreases
Solution : The correct answer is if the price of a good increases, the quantity demanded of that good decreases.
According to the law of demand, there is an inverse connection between the
Question : Select the most appropriate meaning of the given idiom.
Far and wide
Option 1: From the past
Option 2: In the future
Option 3: In all possible ways
Option 4: In all directions
Correct Answer: In all directions
Solution : The correct choice is the fourth option.
The idiom far and wide is used to describe a broad or extensive area, indicating a considerable distance or range. It doesn't refer to time but rather to the spatial extent of something. In this
Question : PQR is a triangle right-angled at Q and PQ : QR = 3 : 4. What is the value of $\sin P + \sin Q + \sin R?$
Option 1: $\frac{4}{5}$
Option 2: $\frac{3}{5}$
Option 3: $\frac{12}{5}$
Option 4: $\frac{2}{5}$
Correct Answer: $\frac{12}{5}$
Solution : Given: $\angle PQR = 90°$ and $PQ:QR = 3:4$ Let, $PQ = 3k$, $QR = 4k$. As $PR$ is the hypotenuse, $PR = \sqrt{(3k^{2} + 4k^{2})}=5k$ $\sin P = \frac{QR}{PR} = \frac{4k}{5k}=\frac{4}{5}$ $\sin Q = \sin 90° = 1$ $\sin R = \frac{PQ}{PR} = \frac{3k}{5k}=\frac{3}{5}$
Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it. (NOTE; Operation should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13- operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
Option 1: 7
Option 2: 5
Option 3: 13
Option 4: 9
Correct Answer: 7
Solution : Subtract the number of column 2 from column one and divide the resultant by 3 to get the required missing number –
In the first row: (14 – 5) ÷ 3 = 9 ÷ 3 = 3 In the second row: (24 – 3) ÷
Question : What is the value of S $=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms, then what is the value of S?
Option 1: $\frac{6179}{15275}$
Option 2: $\frac{6070}{14973}$
Option 3: $\frac{7191}{15174}$
Option 4: $\frac{5183}{16423}$
Correct Answer: $\frac{6070}{14973}$
Solution : Given: $S=\frac{1}{1×3×5}+\frac{1}{1×4}+\frac{1}{3×5×7}+\frac{1}{4×7}+\frac{1}{5×7×9}+\frac{1}{7×10}+....$ Up to 20 terms. Rewriting it like, $\frac{1}{1×3×5}+\frac{1}{3×5×7}+\frac{1}{5×7×9}+...+\frac{1}{1×4}+\frac{1}{4×7}+\frac{1}{7×10}+...$Up to 20 terms. $=\frac{1}{4}[\frac{1}{1×3}-\frac{1}{3×5}+\frac{1}{3×5}-\frac{1}{5×7}+\frac{1}{5×7}-\frac{1}{7×9}+...–\frac{1}{21×23}]+\frac{1}{3}[1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...-\frac{1}{31}]$ It will cancel out most of the terms except the first and last term. $=\frac{1}{4}[\frac{1}{1×3}-\frac{1}{21×23}]+\frac{1}{3}[1-\frac{1}{31}]$ $=\frac{40}{483}+\frac{10}{31}$ $=\frac{6070}{14973}$ Hence, the correct answer is $\frac{6070}{14973}$.
Question : Directions: In the question, a part of the sentence is in bold. Below are given alternatives to the bold part at (1), (2), and (3) that may improve the sentence. Choose the correct alternative. In case no improvement is needed, your answer is (4).
Because that there were heavy rains the lake was flooded.
(1) Because of the
(2) As there were
(3) Since there was
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (1)
Solution : The correct answer is the first option.
In the sentence "because of the heavy rains, the lake was flooded," the phrase because of the is used to explain why the lake was flooded. It clearly and concisely indicates that heavy rains were the cause of
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