Staff Selection Commission Combined Graduate Level Exam
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 300 more, then $SP = 300 + x$ Then, gain = 5% $CP =\frac{100}{(100 + P)} \times SP = \frac{100}{(100 +5)} \times (x + 300)$ = $\frac{100}{105}(300 + x)$ According to the question, $\frac{100}{105}(300 + x) = \frac{100}{95}x$ $⇒\frac{(300 + x)}{x} = \frac{105}{95}$ $⇒95 \times (300 + x) = 105x$ $⇒28500 + 95x = 105x$ $⇒10x = 28500$ $\therefore x = 2850$ Hence, the correct answer is Rs. 2,850.
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 communities in India. He did not call for a complete separation of religion from politics. Instead, he used a new form of mass agitation that emphasized truth, tolerance and non-violence, as well as peaceful protests.
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 maximum discount is from option 2, which is a single discount of 10%. Hence, the correct answer is 2.
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 = 3x – 4
Two years hence, twice her age will be equal to five times that of her son
⇒ 2 (3x – 2) = 5 (x + 2)
⇒ 6x – 4 = 5x + 10
⇒ x = 14
Aadhya's present age = 3x – 4 = (3 x 14) – 4 = 38 years.
Hence, option first is correct.
Question : Select the option that expresses the given sentence in passive voice. Does she know me?
Option 1: Am I known by her?
Option 2: Is she known to me?
Option 3: Is she known by me?
Option 4: Am I known to her?
Correct Answer: Am I known to her?
Solution : The correct choice is the fourth option.
Passive voice is the voice in which the object experiences an action rather than the person who performs the action. Hence, the object in the active sentence becomes the subject in the passive voice.
The structure of the passive sentence in the case of the simple present interrogative sentence is: "Am + singular object + past participle form of the main verb + prepositional phrase?"
Therefore, the passive voice sentence would be: "Am I known to her?"
Question : Directions: Some equations have been solved on the same basis as a certain system. Find out the correct answer for the unsolved equation on that basis. If 98 – 39 – 27 = 31, 87 – 38 – 34 = 20, then 79 – 25 – 12 = ?
Option 1: 51
Option 2: 22
Option 3: 42
Option 4: 15
Correct Answer: 51
Solution : Given: 98 – 39 – 27 = 31; 87 – 38 – 34 = 20
Multiply the digits of each number of the L.H.S. and then subtract them to get the R.H.S. Like, 98 – 39 – 27 = 31→(9 × 8) – (3 × 9) – (2 × 7) = 72 – 27 – 14 = 31 And, 87 – 38 – 34 = 20→(8 × 7) – (3 × 8) – (3 × 4) = 56 – 24 – 12 = 20 Similarly, follow the same pattern for 79 – 25 – 12→(7 × 9) – (2 × 5) – (1 × 2) = 63 – 10 – 2 = 51
Hence, the first option is correct.
Question : The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female pupils is 5 : 6. The number of female pupils is:
Option 1: 11
Option 2: 25
Option 3: 30
Option 4: 35
Correct Answer: 30
Solution : Given: The number of pupils in a class = 55 Ratio of male and female = 5 : 6 Let the number of male and female pupils be 5x and 6x, respectively. So, the total number of pupils = 5x + 6x = 11x According to the question, 11x = 55 $\therefore$ x = 5 Number of female pupils = 6x = 6 × 5 = 30 Hence, the correct answer is 30.
Question : Directions: Which of the following numbers will replace the question mark (?) in the given series? 214, 207, 193, ?, 144, 109
Option 1: 172
Option 2: 117
Option 3: 175
Option 4: 170
Correct Answer: 172
Solution : Given: 214, 207, 193, ?, 144, 109
In the above-given series, subtract the multiples of 7 from the previous number to get the next number. 214 – 7 = 207; 207 – 14 = 193; 193 – 21 = 172; 172 – 28 = 144; 144 – 35 = 109
So, 172 is the missing number of the series. Hence, the first option is correct.
Question : When did Carl Friedrich Gauss and Wilhelm Eduard Weber invent the world's first electromagnetic telegraph?
Option 1: 1833
Option 2: 1832
Option 3: 1830
Option 4: 1831
Correct Answer: 1833
Solution : The correct answer is 1833.
Carl Friedrich Gauss and Wilhelm Eduard Weber invented the first electromagnetic telegraph in 1833. Weber was appointed physics professor in Gottingen in 1831, having completed his studies in Halle and Gottingen. His attempts to create an absolute electrical unit system resulted in an advancement in electrical research.
Question : The number system 'Zero' was invented by
Option 1: Ramanujam
Option 2: Arybhatta
Option 3: Patanjali
Option 4: An unknown person
Correct Answer: Arybhatta
Solution : Correct Answer is Aryabhatta
The concept of zero was transmitted from India and Babylon to Greece, Persia, and the Arab world over the course of hundreds of years. Zero was first used in calculations by Aryabhatta in the fifth century and Brahmagupta sometime around 628 BC. The concept of zero was thus invented by Aryabhatta.
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