Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In a certain code language, ABROAD is written as DFORDH, and ACCESS is written as DGECVW. How will AGENCY be written in that language?
Option 1: DKNEFC
Option 2: EKNEFC
Option 3: DJNEFB
Option 4: DKNEGC
Correct Answer: DKNEFC
Solution : Given: ABROAD is written as DFORDH, and ACCESS is written as DGECVW.
Add 3 and 4 in the place value of the first two and last two letters and interchange the position of the third and fourth letter of ABROAD, to get the required code
Question : Directions: In the following question, a sentence is given with a blank that is to be filled in with an appropriate word. Four alternatives are suggested; choose the correct alternative out of them as your answer.
Each time he tried to climb the tree, he failed to do ________.
Option 1: thus
Option 2: then
Option 3: so
Option 4: this
Correct Answer: so
Solution : The third option is the correct answer.
"So" is a conjunctive adverb that is used to refer back to the action mentioned earlier in the sentence, which is "climbing the tree". It connects the failure to the attempted action.
Therefore, the complete sentence is: "Each
Question : Directions: P, Q, R, and S are four friends. P is shorter than Q but taller than R who is shorter than S. Who is the shortest among all?
Option 1: P
Option 2: Q
Option 3: R
Option 4: S
Correct Answer: R
Solution : Given: P is shorter than Q but taller than R. R < P < Q R is shorter than S. R < S
So, as per the above data, R is the shortest. Hence, the third option is correct.
Question : Constitutional Monarchy means
Option 1: The King writes the constitution
Option 2: The King interprets the constitution
Option 3: The King exercises power granted by constitution
Option 4: The King is elected by the people
Correct Answer: The King exercises power granted by constitution
Solution : Correct Answer is The King exercises power granted by constitution
Constitutional monarchies include the British Monarchy. This indicates that, even though The Sovereign is Head of State, it is up to an elected Parliament to draft and pass laws.
Question : A 6-digit number has digits as consecutive natural numbers. The number is always divisible by
Option 1: 4
Option 2: 5
Option 3: 2
Option 4: 3
Correct Answer: 3
Solution : A 6-digit number consisting of consecutive natural numbers is always divisible by 3. The sum of consecutive natural numbers is always divisible by 3. If the number is divisible by 3, then the sum of its digits will also be divisible by 3. An example
Question : In $\triangle$PQR, a straight line parallel to the base, QR cuts PQ at X and PR at Y. If PX : XQ = 5 : 6, then XY : QR will be:
Option 1: 5 : 11
Option 2: 6 : 5
Option 3: 11 : 6
Option 4: 11 : 5
Correct Answer: 5 : 11
Solution : Given: In $\triangle$PQR, QR || XY $\frac{PX}{XQ}=\frac{5}{6}$ Let PX = 5 units, XQ = 6 units So, PQ = 5 + 6 = 11 units In ∆ PXY and ∆ PQR, ∵ QR | | XY ∵ $\angle$X = $\angle$Q ; $\angle$Y =
Question : Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution'. The Karaoke programme was planned by the club was a grand success.
Option 1: were planned by the club
Option 2: planned by the club
Option 3: has been planned by the club
Option 4: No substitution
Correct Answer: planned by the club
Solution : The correct answer is the second option.
The original sentence has a redundant or unnecessary use of the verb was. When constructing a sentence, it is generally more concise and grammatically correct to avoid unnecessary repetition of verbs.
In this case, the
Question : If $a(\tan\theta +\cot \theta)=1$, $\sin\theta +\cos\theta =b$ with $0^{\circ}< \theta < 90^{\circ}$, then a relation between $a$ and $b$ is:
Option 1: $b^{2}=2\left ( a+1 \right )$
Option 2: $b^{2}=2\left ( a-1 \right )$
Option 3: $2a=b^{2}-1$
Option 4: $2a=b^{2}+1$
Correct Answer: $2a=b^{2}-1$
Solution : $a(\tan\theta +\cot \theta) = 1$ $⇒a(\frac{\sin\theta}{\cos\theta} + \frac{\cos\theta}{\sin\theta}) = 1$ $⇒a(\frac{\sin^2\theta+\cos^2\theta}{\sin\theta\cos\theta}) = 1$ $⇒a={\sin\theta\cos\theta}$ $\sin\theta +\cos\theta = b$ ......(i) Squaring both sides, $(\sin\theta +\cos\theta)^2 = b^2$ $⇒(\sin^2\theta +\cos^2\theta+2\sin\theta\cos\theta) = b^2$ $⇒1+2\sin\theta\cos\theta = b^2$ From equation (i) $⇒1+2a = b^2$ $⇒2a=b^{2}-1$ Hence, the correct answer is
Question : The cost of a daily ticket for a local train is Rs. 50 and the monthly pass cost is Rs. 1125. If I buy the monthly pass and travel for 30 days in a month, then I save:
Option 1: 10%
Option 2: 25%
Option 3: 14%
Option 4: 15%
Correct Answer: 25%
Solution : Given: Cost of daily ticket = Rs. 50 Monthly pass cost = Rs. 1125 Cost of daily ticket for a month = 30 × 50 = Rs. 1500 Monthly savings = 1500 – 1125 = Rs. 375 Savings percentage $=\frac{\text{Savings}}{\text{Cost of daily ticket for a
Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is NOT allowed.) (8, 1, 46) (9, 4, 22)
Option 1: (4, 2, 5)
Option 2: (8, 5, 43)
Option 3: (7, 3, 13)
Option 4: (7, 6, 13)
Correct Answer: (7, 3, 13)
Solution : Given: (8, 1, 46); (9, 4, 22)
Here, (8, 1, 46)→(8 – 1)2 – 3 = (7)2 – 3 = 49 – 3 = 46 (9, 4, 22)→(9 – 4)2 – 3 = (5)2 – 3 = 25 –
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