Staff Selection Commission Combined Graduate Level Exam
Question : If $a+\frac{1}{a}=1$, then the value of $\frac{a^2-a+1}{a^2+a+1}$ is $(a\neq 0)$:
Option 1: 1
Option 2: –1
Option 3: 0
Option 4: 2
Correct Answer: 0
Solution : Given: $a+\frac{1}{a}=1$ ⇒ $\frac{a^2+1}{a}=1$ ⇒ $a^2+1=a$ ⇒ $a^2-a+1=0$ Now, $\frac{a^2–a+1}{a^2+a+1}=\frac{0}{a^2+a+1}=0$ Hence, the correct answer is 0.
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 with the arrow rotates by 90° in the clockwise direction. 2. The letters are in sequential order and shift their position following the below two patterns – a. Top left→Top right→Bottom right→Bottom left→Top left b. Bottom right→Bottom
Question : P and Q can complete a project in 15 days and 10 days, respectively. They started doing the work together, but after 2 days, Q had to leave and P alone completed the remaining work. In how many days was the whole work completed?
Option 1: 11
Option 2: 12
Option 3: 13
Option 4: 10
Correct Answer: 12
Solution : Given: P and Q can complete a project in 15 days and 10 days, respectively. LCM of 15 and 10 is 30. Let the work be 30 units. Efficiency of P = $\frac{30}{15}=2$ Efficiency of Q = $\frac{30}{10}=3$ Two days of work of P and
Question : A man spends 15% of his income. If his expenditure is Rs. 75, then his income (in Rs.) is:
Option 1: 400
Option 2: 300
Option 3: 750
Option 4: 500
Correct Answer: 500
Solution : Given: A man spends 15% of his income and his expenditure is Rs. 75. Here, 15% is equivalent to Rs. 75. So, 100% is equivalent to $\frac{75×100}{15}$ = Rs. 500 $\therefore$ His income is Rs. 500. Hence, the correct answer is 500.
Question : Select the correct passive form of the given sentence. They are making elaborate arrangements for the party.
Option 1: Elaborate arrangements have been made for the party.
Option 2: Elaborate arrangements are made for the party.
Option 3: Elaborate arrangements are being made for the party.
Option 4: Elaborate arrangements were being made for the party.
Correct Answer: Elaborate arrangements are being made for the party.
Solution : The correct choice is the third option.
Passive voice is the voice in which the object experiences an action rather than the person who acts. Hence, the object in the active sentence becomes the subject in the
Question : Two numbers are 50% and 80% less than the third number. By what percentage should the second number be enhanced to make it equal to the first number?
Option 1: 150%
Option 2: 60%
Option 3: 30%
Option 4: 37.5%
Correct Answer: 150%
Solution : Let the third number be 100$x$. Then, the first number = 50% less than 100$x$ = 50$x$ The second number = 80% less than 100$x$ = 20$x$ So, the required percentage change = $\frac{\text{ first number – second number}}{\text{second number}} × 100$% = $\frac{50x-20x}{20x}$ ×
Question : Directions: In the following question a series is given, with one number missing. Choose the correct alternative from the given ones that will complete the series. 1, 5, 2, 6, 3, 7, ?
Option 1: 6
Option 2: 5
Option 3: 4
Option 4: 3
Correct Answer: 4
Solution : Given: 1, 5, 2, 6, 3, 7, ?
The series is a combination of two series (1, 2, 3, ...) and (5, 6, 7, ...) The common difference between the first and second series is 1. 1, 5, 2, 6, 3, 7,
Question :
Which of the following structures present in mammalian skin directly helps in keeping the body warm
Pigmented cells
Sweat glands
Lymph vessels
Option 4: Blood capillaries
Correct Answer: Blood capillaries
Solution : The correct option is blood capillaries.
Among the structures present in mammalian skin, blood capillaries play a significant role in helping to regulate body temperature. Blood capillaries in mammalian skin help regulate body temperature by constricting to conserve heat in cold conditions and dilating
Question : The volume of a solid cylinder is 2002 cm3 and its height is 13 cm. What is the area (in cm2) of its base? (Take $\pi=\frac{22}{7}$)
Option 1: 77
Option 2: 154
Option 3: 231
Option 4: 308
Correct Answer: 154
Solution : The volume of a solid cylinder = 2002 cm3 Height = 13 cm The volume of the cylinder = Bh Where B = Area of the base and h = height According to the question, 2002 = B × 13 $\therefore$ B = $\frac{2002}{13}=154
Question : Select the most appropriate option to improve the underlined segment in the given sentence. If there is no need to improve it, select 'No improvement'.
You will have to pay heavy for your crimes.
Option 1: to be paying heavily
Option 2: to pay heavily
Option 3: to paid heavily
Option 4: No improvement
Correct Answer: to pay heavily
Solution : The second option is the correct choice.
In this context, heavy is an adjective, and it should be replaced with the adverb heavily to modify the verb pay correctly. Adverbs are used to describe how an action is performed, and in this case,
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