Staff Selection Commission Combined Graduate Level Exam
Question : Match the columns.
Option 1: i-b, ii-a, iii-d, iv-c
Option 2: i-b, ii-c, iii-a, iv-d
Option 3: i-a, ii-b, iii-c, iv-d
Option 4: i-d, ii-c, iii-b, iv-a
Correct Answer: i-a, ii-b, iii-c, iv-d
Solution : The correct answer is i-a, ii-b, iii-c, iv-d.
Question : The least number that divides 37044, gives the result in a perfect cube, is:
Option 1: 2
Option 2: 4
Option 3: 14
Option 4: 21
Correct Answer: 4
Solution : We have to find the smallest number that divides 37044 and results in a perfect cube. Here, 37044 = 2 × 2 × 3 × 3 × 3 × 7 × 7 × 7 = 4 × 33 × 73 = 4 ×
Question : When 5 children from class A join class B, the number of children in both classes is the same. If 25 children from B, join A, then the number of children in A becomes double the number of children in B. The ratio of the number of children in A to those in B is:
Option 1: 19 : 18
Option 2: 9 : 8
Option 3: 18 : 17
Option 4: 19 : 17
Correct Answer: 19 : 17
Solution : Let the number of children in class A as $a$ and the number of children in class B as $b$. From the problem, When 5 children from A join B, the number of children in both classes is the same. $⇒a - 5
Question : Directions: In the following question, out of the four alternatives, select the alternative that will improve the bracketed part of the sentence. In case no improvement is needed, select "No Improvement".
What (you have been) doing since the workshop last month?
(1) have you done
(2) you have done
(3) have you been doing
(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.
The tense that is used when an action that started in the past is continuing in the present is present perfect continuous. Thus, "have you been doing" fits in the sentence grammatically.
Therefore, the correct sentence
Question : If $a^2+b^2+c^2=16$, $x^2+y^2+z^2=25$ and $ax+by+cz=20$, then the value of $\frac{a+b+c}{x+y+z}$ is:
Option 1: $\frac{3}{5}$
Option 2: $\frac{5}{3}$
Option 3: $\frac{4}{5}$
Option 4: $\frac{5}{4}$
Correct Answer: $\frac{4}{5}$
Solution : Given: $a^2+b^2+c^2=16$----(equation 1) $x^2+y^2+z^2=25$-----(equation 2) $ax+by+cz=20$-----(equation 3) Substitute the values of $b=0$ and $c=0$ in the given equation 1, we get, $a^2+0^2+0^2=16$ $⇒a^2=16$ $\therefore a=4$ Substitute the values of $y=0$ and $z=0$ in the given equation 2, we get, $x^2+0^2+0^2=25$ $⇒x^2=25$ $\therefore x=5$ Substitute the
Question : Directions: Three statements are followed by three conclusions numbered I, II, and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which conclusions logically follow(s) from the statements. Statements: I. All metals are gold. II. All jewellery is gold. III. All gold are ornaments. Conclusions: I. Some ornaments are jewellery. II. Some metals are jewellery. III. All jewellery are ornaments.
Option 1: Only conclusions I and III follow
Option 2: All conclusions follow
Option 3: Only conclusions II and III follow
Option 4: Only conclusions I and II follow
Correct Answer: Only conclusions I and III follow
Solution : The possible Venn diagram according to the given statements is as follows –
Let's analyse the conclusions – Conclusion I: Some ornaments are jewellery – From the Venn diagram, it is clear that only some part of the circle of
Question : Select the option that expresses the given sentence in direct speech. Your sister will say that she has lost her pen again.
Option 1: Your sister said, "She has lost my pen again."
Option 2: Your sister will say, "I have lost my pen again."
Option 3: Your sister will say, "I lost my pen again."
Option 4: Your sister says, "I lost her pen again."
Correct Answer: Your sister will say, "I have lost my pen again."
Solution : The second option is the correct answer.
Direct speech is a form of speech or writing where the actual words spoken by a person are quoted within quotation marks and attributed to the speaker.
The change
Question : If $0°<A<90°$, the value of $\frac{\tan A\ -\ \sec A\ -\ 1}{\tan A\ +\ \sec A\ +\ 1}$ is:
Option 1: $\frac{\sin A-1}{\cos A}$
Option 2: $\frac{1-\sin A}{\cos A}$
Option 3: $\frac{1-\cos A}{\sin A}$
Option 4: $\frac{\sin A+1}{\cos A}$
Correct Answer: $\frac{\sin A-1}{\cos A}$
Solution : Given: $\frac{\tan A-\sec A-1}{\tan A+\sec A+1}$ = $\frac{\tan A-\sec A-(\sec^{2} A-\tan^{2} A)}{\tan A+\sec A+1}$ = $\frac{(\tan A-\sec A)-(\sec A-\tan A)(\sec A+\tan A)}{\tan A+\sec A+1}$ = $\frac{(\tan A-\sec A)+(\tan A-\sec A)(\sec A+\tan A)}{\tan A+\sec A+1}$ = $\frac{(\tan A-\sec A)(1+\sec A+\tan A)}{\tan A+\sec A+1}$ =
Question : Directions: Three of the following four triads are alike in a certain way as they are formed by performing the same mathematical operations among themselves and thus form a group. Which triad does NOT belong to that group?
Option 1: 36 : 13 : 7
Option 2: 16 : 9 : 5
Option 3: 72 : 16 : 8
Option 4: 1 : 3 : 2
Correct Answer: 72 : 16 : 8
Solution : Let's check the options – First option: 36 : 13 : 7→36 + 13 = 49; (7)2 = 49 Second option: 16 : 9 : 5→16 + 9 = 25; (5)2 = 25 Third option: 72 : 16 :
Question : Select the INCORRECTLY spelt word.
Option 1: Receipt
Option 2: Technically
Option 3: Harrasment
Option 4: Vaccinate
Correct Answer: Harrasment
Solution : The correct choice is the third option.
The incorrectly spelt word is "harrasment". The correct spelling is harassment, which means the act of persistently annoying, tormenting, or intimidating someone, often in a harmful or unwelcome manner.
Other words are correctly spelt and their meanings
The Question containing Inaapropriate or Abusive Words
Question lacks the basic details making it difficult to answer
Topic Tagged to the Question are not relevant to Question
Question drives traffic to external sites for promotional or commercial purposes
The Question is not relevant to User
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