Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, some parts of the sentence have errors, and some are correct. Find out which part of the sentence has an error. The number of that part is the answer. If a sentence is error-free, your answer is "No Error".
Could she cite (1) / any precedent in support (2) / for her case? (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The error lies in the third part of the sentence.
Explanation: The preposition "for" is incorrect in this context. When talking about supporting something, the correct preposition to use is "of". The term "in support of" means strengthening something.
Hence, the correct sentence should be:
Question : Direction: In each of the following question, which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
SH _ ELAS _ EELA _ HEELASHEE _ A
Option 1: HHSS
Option 2: EEHS
Option 3: EHSL
Option 4: ELHA
Correct Answer: EHSL
Solution : Given:
We have to check the order of the letters in the given series.
To fill the series we have to divide the series, SH _ / ELA / S _ E/ ELA / _ HE
Question : If $y+\frac{1}{y}=11$, then the value of $y^3-\frac{1}{y^3}$ is:
Option 1: $345 \sqrt{13}$
Option 2: $360 \sqrt{13}$
Option 3: $352 \sqrt{13}$
Option 4: $368 \sqrt{13}$
Correct Answer: $360 \sqrt{13}$
Solution : Given, $y+\frac{1}{y}=11$ Squaring both sides, we get: $⇒(y+\frac{1}{y})^2=11^2$ $⇒(y-\frac{1}{y})^2+4(y)(\frac{1}y)=121$ $⇒(y-\frac{1}{y})^2+4=121$ $⇒(y-\frac{1}{y})^2=121-4$ $⇒(y-\frac{1}{y})=3\sqrt{17}$ Cubing both sides, we get: $⇒(y-\frac{1}{y})^3=(3\sqrt{17})^3$ $⇒y^3-\frac{1}{y^3}-3(y)(\frac{1}{y})(y-\frac{1}{y})=351\sqrt{13}$ $⇒y^3-\frac{1}{y^3}-3(3\sqrt{17})=351\sqrt{13}$ $⇒y^3-\frac{1}{y^3}=351\sqrt{13}+9\sqrt{13}$ $\therefore y^3-\frac{1}{y^3}=360\sqrt{13}$ Hence, the correct answer is $360\sqrt{13}$.
Question : Directions: In a certain code language, if PDFJARS is written as OCELZQR and MHCXBTU is written as LGBZAST, how will ZVDGENQ be written in the same code language?
Option 1: XUYCIMP
Option 2: YUCIDMP
Option 3: XUCDEMQ
Option 4: XVDEDNO
Correct Answer: YUCIDMP
Solution : Given: PDFJARS is written as OCELZQR. MHCXBTU is written as LGBZAST.
Subtract 1 from the place values of the letters except the middle one; add 2 to the place value of the letter in the middle of the given word. Like, PDFJARS→P – 1 =
Question : Select the option that expresses the given sentence in direct speech.
The teacher asked me why I had reached the examination hall so late.
Option 1: The teacher said to me, "Why are you reaching the examination hall so late?"
Option 2: The teacher said to me, "Why had I reached the examination hall so late?"
Option 3: The teacher said to me, "Why did you reach the examination hall so late?"
Option 4: The teacher said to me, "Why you reached the examination hall so late?"
Correct Answer: The teacher said to me, "Why did you reach the examination hall so late?"
Solution : The third option is correct choice.
In direct speech, the words of the speaker are directly quoted in quotation marks.
Narration Conversion:
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).
They prevented me from danger.
(1) was preventing
(2) were preventing
(3) protected
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (3)
Solution : The sentence can be improved using the third option "protected".
It conveys the idea that they kept the speaker safe from danger. "Protected" is the past tense of "protect", which fits the context of the sentence. "Prevent" means to avoid or avert a negative situation,
Question : The volume of a solid hemisphere is 19404 cm3. Its total surface area is:
Option 1: 4158 cm2
Option 2: 2858 cm2
Option 3: 1738 cm2
Option 4: 2038 cm2
Correct Answer: 4158 cm2
Solution : Given: Volume of solid hemisphere = 19404 cm3 Let the radius of the hemisphere be $r$. We know, volume of a hemisphere $= \frac{2}{3}\pi r^3$ $⇒ 19404 = \frac{2}{3}\pi r^3$ $⇒ 19404 = \frac{2}{3}\times\frac{22}{7}\times r^3$ $\therefore r= 21$ Total surface area of
Question : Which of the following statement(s) is/are TRUE? I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$
Option 1: Only I
Option 2: Only II
Option 3: Both I and II
Option 4: Neither I nor II
Correct Answer: Only I
Solution : Evaluating the given statements: I. $\sqrt{11}+\sqrt7<\sqrt{10}+\sqrt8$ Squaring both sides we get: ⇒ $(\sqrt{11}+\sqrt7)^2<(\sqrt{10}+\sqrt8)^2$ ⇒ $11+7+2\sqrt{77}<10+8+2\sqrt{80}$ ⇒ $18+2\sqrt{77}<18+2\sqrt{80}$ So, statement I is true. II. $\sqrt{17}+\sqrt{11}>\sqrt{15}+\sqrt{13}$ Squaring both sides we get: ⇒ $(\sqrt{17}+\sqrt{11})^2>(\sqrt{15}+\sqrt{13})^2$ ⇒ $17+11+2\sqrt{187}>15+13+2\sqrt{195}$ ⇒ $28+2\sqrt{187}>28+2\sqrt{195}$ So, statement II is wrong. Hence, the correct answer
Question : Directions: Select the option that is related to the third term in the same way as the second term is related to the first term and the sixth term is related to the fifth term. 24 : 840 :: 27 : ? :: 33 : 1452
Option 1: 756
Option 2: 297
Option 3: 1026
Option 4: 729
Correct Answer: 1026
Solution : Given: 24 : 840 :: 27 : ? :: 33 : 1452
Like, 24 : 840→24 × (24 + 11) = 24 × 35 = 840 33 : 1452→33 × (33 + 11) = 33 × 44 = 1452 Similarly for 27 : ?→27 ×
Question : Directions: A series is given below with one term missing. Choose the correct alternative from the given ones that will complete the series. A, E, I, M, ?
Option 1: P
Option 2: Q
Option 3: R
Option 4: O
Correct Answer: Q
Solution : Given: A, E, I, M, ?
The pattern followed here is – A + 4 = E; E + 4 = I; I + 4 = M Similarly, M + 4 = Q
Q is the missing term of the given series. Hence, the second
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