Staff Selection Commission Combined Graduate Level Exam
Question : Directions: A sentence or a part of the sentence is printed in bold. Below are alternatives to the bold part that may improve the sentence. Choose the correct alternative. In case no improvement is needed, choose "No Improvement."
It nuances the larger debate on whether such votes should override the will of the legislature or guided it further.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 1
Solution : The correct choice is the first option.
This alternative provides the correct verb form (guide) to maintain a parallel structure in the sentence.
The original sentence has the verb form override. So, the correct phrase should also have a verb form, not a noun
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. 3, 4, 7, ?, 18, 29, 47
Option 1: 8
Option 2: 9
Option 3: 11
Option 4: 12
Correct Answer: 11
Solution : Given: 3, 4, 7, ?, 18, 29, 47
Add the first two numbers to get the third number, then add the second and third numbers to get the fourth number and so on. 3 + 4 = 7; 7 + 4 = 11; 11 +
Question : Study the given table and answer the following question.
The table shows the number of graduate students enrolled in 4 different colleges A, B, C, and D in a city from 2010 to 2014 and the number of students who passed the final examination during these years.
Find the percentage of students who passed from college B for all the years put together to the number of students enrolled from college B during all the years (rounded to 2 decimals).
Option 1: 94.92 %
Option 2: 94.98 %
Option 3: 94.95 %
Option 4: 94.96 %
Correct Answer: 94.92 %
Solution : The percentage of students who passed from college B for all the years put together to the number of students from college B during all the years = $\frac{530+420+550+620+680}{550+450+600+650+700}\times 100$% = $94.91 \% $ Hence, the correct answer is 94.92 %.
Question : Directions: Select the option that is related to the third number in the same way as the second number is related to the first number and the sixth number is related to the fifth number. 30 : 48 :: 60 : ? :: 45 : 72
Option 1: 96
Option 2: 92
Option 3: 90
Option 4: 88
Correct Answer: 96
Solution : Given: 30 : 48 :: 60 : ? :: 45 : 72
Like, 30 : 48→(30 ÷ 5) = 6; 6 × 8 = 48 45 : 72→(45 ÷ 5) = 9; 9 × 8 = 72 Similarly, for 60 : ?→(60 ÷ 5) =
Question : Directions: In this question, a part of the sentence is in bold. Below are given alternatives to the bold parts at 1, 2, and 3, which may improve the sentence. Choose the correct alternative in case no improvement is needed your answer is 4.
What she said is not correct at all.
Explanation: There is an error in the phrase "no correct at all" in the given sentence. The phrase "no correct at all" would be replaced with "incorrect" to improve the given sentence and convey the intended meaning
Question : In the following figure, the length of arc AB is equal to five times the radius $r$ of the circle. Find the area of sector AOB.
Option 1: $2.5 r^2$
Option 2: $\frac{1}{2}r^2$
Option 3: $3r^2$
Option 4: $2r^2$
Correct Answer: $2.5 r^2$
Solution : Length of the arc AB = $5r$ Radius of the circle = $r$ Given: Length of arc = $5r$ ⇒ $\frac{\theta}{360^\circ }\times 2\pi r=5r$ ⇒ $\theta = \frac{360^\circ}{2\pi} \times 5$ Area of sector with angle $\theta$ = $\frac{\theta}{360^\circ}\pi r^2$ =$\frac{\frac{360^\circ}{2\pi} \times 5}{360^\circ}\pi r^2$ =
Question : Direction: In the following question a word is followed by four other words, one of which can not be formed by using the letters of the given word. Find this word.
DISTANCE
Option 1: DANCE
Option 2: STAND
Option 3: SANE
Option 4: TEASE
Correct Answer: TEASE
Solution : Given:
First option: DANCE;
All the letters of the above word are present in the given word DISTANCE.
Second option: STAND;
Third option: SANE;
All the letters of the above
Question : Parts of the following sentence are given as options. Identify the segment that contains a grammatical error.
Either of these two roads lead to the post office.
Option 1: Either of these
Option 2: the post office
Option 3: lead to
Option 4: two roads
Correct Answer: lead to
Solution : The correct choice is the third option.
Explanation: The correct form should be "leads to" to maintain subject-verb agreement. In the original sentence, the subject "either of these two roads" is singular, so the verb "lead" should be singular as well.
Question : Identify the segment that contains a grammatical error. A misunderstanding has crept between he and his sister.
Option 1: And his sister
Option 2: Between he
Option 3: Has crept
Option 4: A misunderstanding
Correct Answer: Between he
Solution : The second option is correct.
Question : If $x = 32.5$, $y = 34.6$ and $z = 30.9$, then the value of $x^3+y^3+z^3-3xyz$ is $0.98k$, where $k$ is equal to:
Option 1: 1033
Option 2: 933
Option 3: 1026
Option 4: 921
Correct Answer: 1033
Solution : Given that $x = 32.5$, $y = 34.6$ and $z = 30.9$ Use the identity, $x^3+y^3+z^3-3xyz=\frac{1}{2}[x+y+z][(x-y)^2+(y-z)^2+(z-x)^2]$ $⇒0.98k=\frac{1}{2}[32.5+34.6+30.9][(32.5-34.6)^2+(34.6-30.9)^2+(30.9-32.5)^2]$ $⇒\frac{1}{2}[98][(-2.1)^2+(3.7)^2+(-1.6)^2]=0.98k$ $⇒49[4.41+13.69+2.56]=0.98k$ $⇒49[20.66]=0.98k$ $⇒k=1033$ Hence, the correct answer is 1033.
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