Staff Selection Commission Combined Graduate Level Exam
Question : The marked price of an article is INR 28,000. It can be sold in one of the following ways: Way A: A single discount of 24%. Way B: Two successive discounts of 16% and 10%. Which way will have the lowest selling price and what will be the value of it?
Option 1: Way A, INR 21,168
Option 2: Way B, INR 21,280
Option 3: Way A, INR 21,280
Option 4: Way B, INR 21,168
Correct Answer: Way B, INR 21,168
Solution : Given: The marked price of an article is INR 28,000. Use the formula, $SP=(1-\frac{d_1}{100})\times (1-\frac{d_2}{100})\times MP$ where $SP, d_1, d_2$ and $MP$ are the selling price, the discount percentages, and the marked price. For the Way A, $SP=1–\frac{24}{100}\times 28000$ ⇒ $SP=\frac{100–24}{100}\times 28000$
Question : Directions: In a certain code language, BYE is coded as 245 and OLA is coded as 265. How will CAR be coded in that language?
Option 1: 280
Option 2: 285
Option 3: 295
Option 4: 300
Correct Answer: 295
Solution : Given: BYE is coded as 245 and OLA is coded as 265.
Add the opposite positional values of the alphabet in the given words and then the result is multiplied by 5 to obtain the code. BYE→Opposite of B is Y(25); Opposite of Y is
Question : Select the option that can be used as a one-word substitute for the given group of words.
A person who does not drink alcohol.
Option 1: Vegetarian
Option 2: Celibate
Option 3: Teetotaller
Option 4: Abstain
Correct Answer: Teetotaller
Solution : The correct one-word substitute is the third option.
Explanation: Teetotaller is a one-word substitute that specifically describes a person who does not drink alcohol, making it the most appropriate choice.
The meanings of the other options are as follows:
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).
We will take care of your children when you are away at Mumbai.
(1) be looking for
(2) look after
(3) take care after
(4) No Improvement
Option 1: (1)
Option 2: (2)
Option 3: (3)
Option 4: (4)
Correct Answer: (4)
Solution : The correct choice is the fourth option.
In this sentence, the phrase take care of is correct and effectively conveys the idea of looking after and ensuring the well-being of the children.
Other options suggest changes to the phrase, but they do not improve the
Question : Direction: In a certain code language FASHION is coded as FOIHSAN. How is PROBLEM coded in that code?
Option 1: ROBLEMP
Option 2: RPBOELM
Option 3: PELBORM
Option 4: PRBOELM
Correct Answer: PELBORM
Solution : Given:
FASHION is coded as FOIHSAN.
Here, it seems that all the letters are being reversed except the first and the last letter.
Similarly, applying the same pattern to the word PROBLEM, we have –
PROBLEM is coded as PELBORM.
Hence, third option is correct.
Question : Directions: If D stands for ×, S stands for +, A stands for –, and M stands for ÷, what is the value of the given expression? 28 D 6 S 34 M 2 A 8 D 6 = ?
Option 1: 558
Option 2: 3312
Option 3: 137
Option 4: 31
Correct Answer: 137
Solution : Given: 28 D 6 S 34 M 2 A 8 D 6 = ?
After replacing the letters with mathematical signs, the equation becomes – = 28 × 6 + 34 ÷ 2 – 8 × 6 = 28 × 6 + 17 – 8
Question : Directions: In a certain code language, birds are flying is coded as 536, the nest is big is coded as 3423 and close the door is coded as 534. How will complete your work be coded in that language?
Option 1: 844
Option 2: 484
Option 3: 733
Option 4: 955
Correct Answer: 844
Solution : Given: 1. birds are flying ⇒ 536 2. the nest is big ⇒ 3423 3. close the door ⇒ 534
Count the number of letters in birds are flying to obtain the required code – birds→5, are→3, flying→6 Thus, birds are flying is coded as
Question : What is $\sin \alpha - \sin\beta$?
Option 1: $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$
Option 2: $2 \sin \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$
Option 3: $2 \cos \frac{\alpha-\beta}{2} \sin \frac{\alpha+\beta}{2}$
Option 4: $2 \cos \frac{\alpha+\beta}{2} \cos \frac{\alpha-\beta}{2}$
Correct Answer: $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$
Solution : The formula of $\sin α - \sin β$ is given by $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$. Hence, the correct answer is $2 \cos \frac{\alpha+\beta}{2} \sin \frac{\alpha-\beta}{2}$.
Question : The Government of ______ launched the Mukhyamantri Chaa Srami Kalyan Prakalpa Scheme for tea garden workers.
Option 1: Kerala
Option 2: Assam
Option 3: Tripura
Option 4: Andhra Pradesh
Correct Answer: Tripura
Solution : The correct option is Tripura.
A unique programme called "Mukhyamantri Chaa Srami Kalyan Prakalpa" has been announced by the state government of Tripura to guarantee the social security of over 7,000 tea garden labourers.
Question :
Directions: In the following question, select the related word from the given alternatives. Dark : Light :: Noise : ?
Option 1: Music
Option 2: Quiet
Option 3: Melody
Option 4: Vacuum
Correct Answer: Quiet
Solution : Given: Dark : Light :: Noise : ?
Like, dark and light are antonyms. Similarly, noise is the antonym of quiet.
Hence, the second option is correct.
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