Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In the following question, select the related number from the given alternatives. 8 : 32 :: ? : 108
Option 1: 68
Option 2: 69
Option 3: 27
Option 4: 67
Correct Answer: 27
Solution : Given: 8 : 32 :: ? : 108
Divide the second number by 4 to obtain the first number. Like, 8 : 32→32 ÷ 4 = 8 Similarly, follow the same pattern for 108 : ?→108 ÷ 4 = 27
So, 27 is related to
Question : A cylindrical tube, open at both ends, is made of a metal sheet which is 0.5 cm thick. Its outer radius is 4 cm and its length is 2 m. How much metal (in cm$^3$) has been used in making the tube?
Option 1: $800 \pi$
Option 2: $450 \pi$
Option 3: $750 \pi$
Option 4: $550 \pi$
Correct Answer: $750 \pi$
Solution : Given: Outer radius $(R)$ = 4 cm Thickness = 0.5 cm Internal radius $(r)$ = 4 – 0.5 = 3.5 cm Volume of material = $\pi(R^2 - r^2)h$ = $\pi \times (4^2 - 3.5^2)\times 200$ = $\pi \times 3.75\times 200$ = $750\pi$ cm$^3$ Hence,
Question : Directions: Select the correct mirror image of the given figure when the mirror is placed on the right side of the figure.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : As per the mirror image properties, closer things appear close to the mirror in the reflection. Here, according to the information provided, the mirror is placed on the right side of the figure (on line AB). So, the left side of the reflected image will appear
Question : Identify the segment in the sentence which contains a grammatical error. The tired and vexed travellers waiting at the airport for a long time.
Option 1: waiting at the airport
Option 2: for a long time
Option 3: The tired and
Option 4: vexed travellers
Correct Answer: waiting at the airport
Solution : The correct choice is the first option.
Explanation: The error lies in the incomplete expression of the continuous action. The present participle "waiting" should be accompanied by a helping verb to form the correct present perfect continuous tense. The sentence should
Question : Select the most appropriate synonym of the underlined word. In the 2030 Agenda for Sustainable Development, Member States express their commitment to protect the planet from degradation and take urgent action on climate change.
Option 1: pollution
Option 2: hazard
Option 3: degeneration
Option 4: approval
Correct Answer: degeneration
Solution : The correct answer is the third option.
The word "degeneration" is a suitable synonym for "degradation" in this context because both terms convey a similar idea of a decline or deterioration in the quality or condition of something. In the sentence, "degradation" is used to
Question : A can do the same work in 8 days, B can do the same work in 10 days, and C can do the same work in 12 days. If all three of them do the same work together and they are paid Rs. 7400, what is the share (in Rs.) of B?
Option 1: 2600
Option 2: 3000
Option 3: 2400
Option 4: 2000
Correct Answer: 2400
Solution : Let total work to be done = LCM (8, 10, 12) = 120 units A can do the work in 8 days. ⇒ A's efficiency = $\frac{120}{8} = 15$ units/day Similarly, B's efficiency = $\frac{120}{10} = 12$ units/day and C's efficiency = $\frac{120}{12} = 10$
Question : Directions: Select the related letter cluster from the given alternatives. ACEG : ZXVT :: IKMO : ?
Option 1: MNOP
Option 2: PQRS
Option 3: RPNL
Option 4: LNPR
Correct Answer: RPNL
Solution : Given: ACEG : ZXVT :: IKMO : ?
The pattern followed here is each letter is coded as its opposite letter – Like, ACEG = A→Z; C→X; E→V; G→T Thus, ACEG is coded as ZXVT. Similarly, follow the same pattern for IKMO – I→R; K→P;
Question : The disease that has been eradicated from the world is :
Option 1: Leprosy
Option 2: Poliomyelitis
Option 3: Chicken pox
Option 4: Small pox
Correct Answer: Small pox
Solution : The correct option is - small pox.
When smallpox was declared eradicated by the WHO in 1980, it became the first infectious illness to achieve this status. This highly contagious sickness is caused by the variola virus. The smallpox vaccine, created by Edward Jenner
Question : Directions: How many triangles are there in the given figure?
Option 1: 10
Option 2: 11
Option 3: 12
Option 4: 13
Correct Answer: 11
Solution : The figure can be labeled as shown below –
There are 11 triangles in the above figure. They are ABC, AGB, AGC, DBF, DFG, DBG, GEH, HEC, GEC, ADG, AEG.
Hence, the second option is correct.
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".
We have made progress in our development journey, and people came out in large numbers to vote for development.
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The correct choice is the third option.
The phrase will come follow the simple future tense rule, as the successful result of the election is hoped for in the future. The sentence refers to the expectation that people will come out to vote for
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