Staff Selection Commission Combined Graduate Level Exam
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed at MN as shown below.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear closer to the mirror in the reflection. Here, according to the information provided, the mirror is placed at the bottom of the figure (on line MN). So, the top of the reflected image will appear as the
Question : 4 men, working together, can finish a work in 18 days. How many more men are required to finish the same work in 12 days?
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 6
Correct Answer: 2
Solution : We know that if the number of days decreases, the number of men required to finish a work will increase. $\text{Number of days}(x)∝\frac{1}{\text{Number of men}(y)}$ $\therefore$ $\frac{x{_1}}{x{_2}} = \frac{y{_2}}{y{_1}}$ Given: $x{_1} = 18$; $y{_1} = 4$ and $x{_2} = 12$ ⇒ $\frac{18}{12} = \frac{y{_2}}{4}$ $\therefore
Question : If $A + B = C$, then $\tan A \tan B \tan C =$?
Option 1: $\tan C + \tan A − \tan B$
Option 2: $\tan C + \tan A + \tan B$
Option 3: $\tan A − \tan B − \tan C$
Option 4: $\tan C − \tan A − \tan B$
Correct Answer: $\tan C − \tan A − \tan B$
Solution : Given, $A + B = C$ ⇒ $\tan (A + B) = \tan C$ ⇒ $\frac{\tan A+\tan B}{1−\tan A\tan B}=\tan C$ ⇒ $\tan A + \tan B =\tan C−\tan A \tan B \tan C$ ⇒ $\tan A\tan B\tan
Question : Directions: Select the correct combination of mathematical signs to sequentially replace the * signs and balance the given equation. 42 * 7 * 5 * 5 * 40 * 5
Option 1: ÷, ×, +, =, –
Option 2: ÷, ×, =, +, +
Option 3: ÷, ×, –, =, ×
Option 4: +, =, ÷, ×, +
Correct Answer: ÷, ×, +, =, –
Solution : Given: 42 * 7 * 5 * 5 * 40 * 5
Let's check each option – First option: ÷, ×, +, =, – ⇒ 42 ÷ 7 × 5 + 5 = 40 – 5 Solving the L.H.S. of the
Question : A can complete $\frac{1}{3}$rd of a task in 7 days and B can complete $\frac{2}{7}$th of the same task in 10 days. In how many days can A and B together complete the task?
Option 1: $12 \frac{3}{8}$
Option 2: $11 \frac{7}{8}$
Option 3: $13 \frac{1}{8}$
Option 4: $15 \frac{1}{7}$
Correct Answer: $13 \frac{1}{8}$
Solution : Given: A can do $\frac{1}{3}$rd of a task in 7 days. Total work done = Number of days × Efficiency So, A can complete the task in $(7 × 3) = 21$ days B can do $\frac{2}{7}$th of the same task in $10$ days.
Question :
Pituitary gland is situatied in
The base of the heart
The base of the brain
The neck
Option 4: The abdomen
Solution : The correct option is -
The pituitary gland is situated at the base of the brain, just below the hypothalamus. It is a small, pea-sized gland that is often referred to as the master gland because it plays a crucial role
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. A new swarm of locusts entered Rajasthan’s Jaisalmer on Sunday. This is the fifth swarm to (1)______ the state in four days from (2)______ western border with Pakistan. Since the first locust swarm (3)______ the state’s Sri Ganganagar district on April 11, as many as 25 swarms (4)______ entered Rajasthan. Some swarms moved to Chhattisgarh and Madhya Pradesh, (5)______ which agricultural departments issued advisories to farmers asking them to be on high alert. Question: Select the most appropriate option to fill in the blank no. 1.
Option 1: introduce
Option 2: come
Option 3: enter
Option 4: insert
Correct Answer: enter
Solution : The right choice is the third option.
Explanation: In the context of the sentence, enter is the most suitable choice because it implies moving into or arriving in a place, which is appropriate for describing the movement of a swarm into a state.
Question : A student goes to school at a speed of $5 \frac{1}{2}$ km/hr and returns at a speed of 4 km/hr. If he takes $4 \frac{3}{4}$ hours for the entire journey, then the total distance covered by the student (in km) is:
Option 1: 11
Option 2: 22
Option 3: 16
Option 4: 24
Correct Answer: 22
Solution : Speed of students goes to school = $5\frac{1}{2} = \frac{11}{2}$ km/hr Speed of students in returns = 4 km/hr Time taken to complete the entire journey = $4\frac{3}{4} = \frac{19}{4}$ hours Distance = Speed × Time Let the distance be $D$ km. According to the
Question : Select the correct passive voice form for the given sentence.
My brother likes cricket.
Option 1: Cricket was like by my brother.
Option 2: Cricket is like by my brother.
Option 3: Cricket is liked by my brother.
Option 4: Cricket was liked by my brother
Correct Answer: Cricket is liked by my brother.
Solution : The correct answer is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active voice becomes the subject in the passive
Question : A man sells two cows for Rs. 15,640 each, gaining 15% on one and losing 15% on the other. Find his total gain or loss.
Option 1: Rs. 720 loss
Option 2: Rs. 360 loss
Option 3: Rs. 720 gain
Option 4: Rs. 360 gain
Correct Answer: Rs. 720 loss
Solution : The cost price of the cow that's sold at 15% profit = $\frac{15640}{ (100+15\%)}$ = Rs. 13600 Profit incurred = 15650 – 13600 = Rs. 2040 The cost price of the cow that's sold at 15% loss = $\frac{15640}{ (100-15\%)}$= Rs. 18400 Loss
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