Staff Selection Commission Combined Graduate Level Exam
Question : Directions: In a code language, SLAIN is written as PKCNU and DENT is written as VPGF. How will CUBOID be written in that language?
Option 1: FKQDWE
Option 2: FJQDWE
Option 3: FKQDVF
Option 4: EWDPKE
Correct Answer: FKQDWE
Solution : Given: SLAIN is written as PKCNU and DENT is written as VPGF.
Follow the pattern to obtain the required code – Thus, SLAIN is coded as PKCNU. And, DENT is written as VPGF. Thus, DENT is coded as VPGF. Similarly, follow the same pattern for
Question : Select the option that can be used as a one-word substitute for the given group of words. A shortened version of a larger work
Option 1: Summary
Option 2: Precise
Option 3: Shorts
Option 4: Abridgement
Correct Answer: Abridgement
Solution : The correct choice is the fourth option.
Abridgement is a term used to describe a version of a larger work that has been condensed. This involves shortening the original work by omitting details while still preserving the essential content and narrative.
The meanings of
Question : The sides of a triangle are in the ratio $\frac{1}{2}:\frac{1}{3}:\frac{1}{4}$ and its perimeter is 104 cm. The length of the longest side (in cm) is:
Option 1: 52
Option 2: 48
Option 3: 32
Option 4: 26
Correct Answer: 48
Solution : Given: The ratio of the triangle's sides $=\frac{1}{2} : \frac{1}{3} : \frac{1}{4}$. $=\frac{1}{2} × 12 : \frac{1}{3} × 12 : \frac{1}{4} × 12$ $=6: 4: 3$ The perimeter of the triangle is $104$ cm. $\therefore$ The longest length of the triangle = $\frac{104}{6+4+3}×6= 48$ cm
Question : Comprehension: In the following passage, some words have been deleted. Fill in the blanks with the help of the alternatives given. Select the most appropriate option for each number.
A marketplace is always abuzz with activity. It is especially (1)___________a visit in the evenings. A (2)_________range of items are on display. (3) _________and getting a satisfactory (4) _________give the necessary sense of (5) __________to the bored housewife and bring a smile (6) ___________her face. People from all (7) __________of life, rich and poor, (8) ___________shoulders with each other. From their busy (9). ___________, here people find time to (10) __________a greeting with friends or neighbours.
Question: Select the most appropriate option to fill in the blank number 10.
Option 1: displace
Option 2: transfer
Option 3: exchange
Option 4: return
Correct Answer: exchange
Solution : The correct choice is the third option.
The word exchange is appropriate in this context as it implies a mutual or reciprocal action of giving and receiving greetings.
People at the marketplace take time from their busy schedules not just to offer greetings but also
Question : If $\sec \theta+\tan \theta=5, (\theta \neq 0)$, then $\sec \theta$ is equal to:
Option 1: $\left(5+\frac{1}{5}\right)$
Option 2: $\frac{1}{2}\left(3+\frac{1}{3}\right)$
Option 3: $\frac{1}{2}\left(5+\frac{1}{5}\right)$
Option 4: $\left(3+\frac{1}{3}\right)$
Correct Answer: $\frac{1}{2}\left(5+\frac{1}{5}\right)$
Solution : Given: $\sec \theta+\tan \theta=5$ ..... equation1 $\sec^{2}\theta - \tan^{2}\theta =1$ ⇒ $(\sec \theta+\tan \theta)(\sec \theta-\tan \theta)=1$ ⇒ $\sec \theta-\tan \theta=\frac{1}{5}$......equation2 Adding equation1 and equation2 $2\sec\theta = 5 + \frac{1}{5}$ ⇒ $\sec\theta=\frac{1}{2}\left(5+\frac{1}{5}\right)$ Hence, the correct answer is $\frac{1}{2}\left(5+\frac{1}{5}\right)$.
Question : The following sentence has been split into four segments. Identify the segment that contains a grammatical error. I am sure that / the postman would be / coming shortly / to deliver the letter.
Option 1: I am sure that
Option 2: coming shortly
Option 3: to deliver the letter
Option 4: the postman would be
Correct Answer: the postman would be
Solution : The fourth option contains the error.
Would is used to express a past event and is the past tense of will, which is used to predict a future event. Since we are talking about a future event, we should use will
Question : Ankita sold her watch at a 5% loss. If she had sold it for Rs. 300 more, she would have gained 5%. Find the selling price of the watch.
Option 1: Rs. 2,900
Option 2: Rs. 2,750
Option 3: Rs. 3,000
Option 4: Rs. 2,850
Correct Answer: Rs. 2,850
Solution : Ankita sold her watch at a 5% loss. Here, SP = Selling price and CP = Cost price Let the SP of the watch be $x$. Then, CP $= \frac{100}{(100 - \text{Loss}\%)} \times SP =\frac{100}{(100- 5)} \times x = \frac{100}{95}x$ If she sold for
Question : Which of the following is not correct about Mahatma Gandhi ?
Option 1: Gandhi advocated complete sepration of Politics from religion.
Option 2: Gandhi believed in non-violence
Option 3: Gandhi believed in the sanctity of means.
Option 4: Gandhi supported close relation between religion and politics.
Correct Answer: Gandhi advocated complete sepration of Politics from religion.
Solution : Correct Answer is Gandhi advocated complete sepration of Politics from religion.
He argued for a religion-based form of secularism, based on the principle of tolerance and plurality as a means of promoting the peaceful co-habitation of various religious
Question : Which of the following will yield a maximum discount on INR 7,500? 1. Two successive discounts of 5% and 5% 2. Single discount of 10% 3. Two successive discounts of 8% and 2%
Option 1: 2
Option 2: 1
Option 3: All will yield the same discount
Option 4: 3
Correct Answer: 2
Solution : Amount = INR 7500 1. Two successive discounts of 5% and 5% Net discount % = $5 +5- \frac{5×5}{100}$ = $9.75$ 2. Single discount of 10% 3. Two successive discounts of 8% and 2% Net discount % = $8 +2- \frac{8×2}{100}$ = $9.84$ So, the
Question : Direction: Two years ago, Aadhya was three times as old as his son, and two years hence, twice her age will be equal to five times that of her son. Find Aadhya's present age.
Option 1: 38 years
Option 2: 36 years
Option 3: 34 years
Option 4: 42 years
Correct Answer: 38 years
Solution : Let the present age of the son be x years.
Two years ago, Aadhya was three times as old as his son, the equation becomes
⇒ Aadhya's age two years ago = 3 (x – 2) = 3x – 6
⇒ Aadhya's present age
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