Staff Selection Commission Combined Graduate Level Exam
Question : What is the HCF of 36 and 198?
Option 1: 36
Option 2: 22
Option 3: 18
Option 4: 9
Correct Answer: 18
Solution : Factors of 36 = 2 × 2 × 3 × 3 Factors of 198 = 2 × 3 × 3 × 11 HCF = 2 × 3 × 3 = 18 Hence, the correct answer is 18.
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."
The decapitated body of a young girl was discovered yesterday.
(1) No Error
(2) The decapitated body
(3) of a young girl
(4) was discovered yesterday.
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The error lies in the fourth option.
The sentence can be improved by using the word "found" in place of "discovered." Discovered is used when we find information or some object for the first time, whereas "found" is used when we find something that is
Question : Direction: In a certain code MOUSE is written as PRUQC. How is SHIFT written in that code?
Option 1: VKIDR
Option 2: VJIDR
Option 3: VIKRD
Option 4: RKIVD
Correct Answer: VKIDR
Solution : Given:
MOUSE is written as PRUQC.
In this code –
Applying this pattern to SHIFT –
Question : Rearrange the parts of the sentence in correct order. Back in April P. an afternoon walking around Q. the Tillman Sand Ridge Heritage Preserve R. I was visiting family in South Carolina S. and my brother and I spent
Option 1: RSPQ
Option 2: QPRS
Option 3: PQRS
Option 4: RQPS
Correct Answer: RSPQ
Solution : The correct choice is the first option: RSPQ.
Explanation: R (I was visiting family in South Carolina) sets the context of the time frame. S (my brother and I spent) introduces the main action taken during that time. P (an afternoon walking around) specifies
Question : Two baskets together have 640 oranges. If $\left (\frac{1}{5} \right)^{th}$ of the oranges in the first basket are taken to the second basket then, the number of oranges in both the baskets becomes equal. The number of oranges in the first basket is:
Option 1: 800
Option 2: 600
Option 3: 400
Option 4: 300
Correct Answer: 400
Solution : Let the number of oranges in the first basket and the second basket be $x$ and $(640 –x)$ respectively. According to the question, $x - \frac{x}{5}=640 - x+\frac{x}{5}$ ⇒ $\frac{8x}{5}=640$ ⇒ $x=640 \times \frac{5}{8}$ $\therefore x=400$ Hence, the correct answer is 400.
Question : Pipes A and B can fill a tank in 12 minutes and 15 minutes, respectively. The tank when full can be emptied by pipe C in $x$ minutes. When all three pipes are opened simultaneously, the tank is full in 10 minutes. The value of $x$ is:
Option 1: 18
Option 2: 15
Option 3: 20
Option 4: 24
Correct Answer: 20
Solution : Pipe A can do 1 unit work = $\frac{1}{12}$ minutes Pipe B can do 1 unit work = $\frac{1}{15}$ minutes Pipe C can do 1 unit work = $-\frac{1}{x}$ minutes Together they can fill the tank = $\frac{1}{10}$ minutes Total work = Efficiency × days
Question : Directions: In the following question, find the odd number pair from the given alternatives.
Option 1: 16 – 32
Option 2: 20 – 40
Option 3: 64 – 81
Option 4: 81 – 162
Correct Answer: 64 – 81
Solution : Let's check the options – First option: 16 – 32→16 × 2 = 32 Second option: 20 – 40→20 × 2 = 40 Third option: 64 – 81→64 × 2 = 128 ≠ 81 Fourth option: 81 – 162→81 × 2 = 162
Question : Direction: In the following question, select the missing number from the given responses.
Option 1: 24
Option 2: 16
Option 3: 42
Option 4: 63
Correct Answer: 63
In the first column, 8 × 6 = 48 → 48 ÷ 3 = 16
In the second column, 4 × 9 = 36 → 36 ÷ 3 = 12
In the
Question : Select the most appropriate option to fill in the blank.
I looked at her face and found she was getting disturbed. I decided to drop that ________.
Option 1: product
Option 2: chance
Option 3: subject
Option 4: pride
Correct Answer: subject
Solution : The third option is the correct choice.
In this context, the word subject refers to the topic or matter being discussed or considered. If the person's face revealed signs of being disturbed, the speaker decided to drop or avoid discussing that particular subject to prevent
Question : If $a + b = 10$ and $\sqrt{\frac{a}{b}}-13=-\sqrt{\frac{b}{a}}-11,$ then what is the value of $3ab+4a^{2}+5b^{2}?$
Option 1: $450$
Option 2: $300$
Option 3: $600$
Option 4: $750$
Correct Answer: $300$
Solution : Given: $\sqrt{\frac{a}{b}}-13=-\sqrt{\frac{b}{a}}-11$ ⇒ $\sqrt{\frac{a}{b}} +\sqrt{\frac{b}{a}} = -11 + 13 = 2$ Squaring both sides, ${\frac{a}{b}} +{\frac{b}{a}}+2 = 4$ ⇒ ${\frac{a}{b}} +{\frac{b}{a}} = 2$ ⇒ ${\frac{a}{b}} = 1$ and since $a+b=10$ So, $a=b=5$ So, $3ab + 4a^2 + 5b^2 = 3 × 25 + 4 ×
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