Staff Selection Commission Combined Graduate Level Exam
Question : A shopkeeper uses 940 gm weight in place of one kg weight. He sells it at 4% profit. What will be the actual profit percentage? (rounded off to two decimal places)
Option 1: 9.25%
Option 2: 10.32%
Option 3: 10.64%
Option 4: 10.96%
Correct Answer: 10.64%
Solution : Let the cost price of 1 kg of the item be $x$. The shopkeeper is selling 940 gm of the item for 1.04$x$ (since he sells it at 4% profit). The cost price of 940 gm of the item is 0.94$x$. The profit made by
Question : In which of the following years did the Indian Premier League begin?
Option 1: 2010
Option 2: 2007
Option 3: 2009
Option 4: 2008
Correct Answer: 2008
Solution : The correct option is 2008.
The Indian Premier League (IPL) is a professional Twenty20 cricket league in India. It was established in 2008 and is one of the most popular and lucrative cricket leagues in the world. There were only eight teams when it
Question : A man sells an article for a 15% profit. If he had sold it for INR 6 more, he would have gained 18%. The man bought the article for:
Option 1: INR 100
Option 2: INR 150
Option 3: INR 200
Option 4: INR 250
Correct Answer: INR 200
Solution : When profit = 15% of cost price, Selling price = Cost price + Profit = Cost price + 15% of cost price = 115% of cost price New selling price = 115% of cost price + INR 6, Profit = 18% of cost price
Question : Directions: Select the figure that will come in place of the question mark (?) in the following figure series.
Option 1:
Option 2:
Option 3:
Option 4:
Correct Answer:
Solution : According to the given figure series – 1. The vertical lines decrease by 1 alternatively from right to left while moving from one box to another. 2. The number of horizontal lines on top of the box increases by 1. 3. The circle in the centre
Question : Who commissioned diagnostic ultrasound?
Option 1: Alexander Fleming
Option 2: lan Donald
Option 3: A. Laveran
Option 4: Robert Koch
Correct Answer: lan Donald
Solution : The correct option is lan Donald.
The use of ultrasound as a diagnostic tool in obstetrics was invented by English physician Ian Donald, allowing for the visual identification of obstetric anomalies. Donald was born in Cornwall, England, to a Scottish family of physicians. This
Question : Directions: Chanda is the wife of Bharat. Mohan is the son of Chanda. Ashish is the brother of Bharat and the father of Dhruv. How is Mohan related to Dhruv?
Option 1: Sister
Option 2: Cousin
Option 3: Brother
Option 4: Mother
Correct Answer: Cousin
Solution : According to the given information, the family tree is shown below –
Here, the quadrilateral represents the male, and the circular figure represents the female in the figure.
So, according to the above family tree, Mohan is the cousin of Dhruv. Hence, the second option
Question : Rio Summit is associated with:
Option 1: Convention on Biological Divesity
Option 2: Green house gases
Option 3: Ozone depletion
Option 4: Wet lands
Correct Answer: Convention on Biological Divesity
Solution : The correct option is Convention on Biological Divesity.
The Rio Summit, also known as the United Nations Conference on Environment and Development (UNCED), is linked to the biological diversity agreement. It was held in 1992 in Rio de Janeiro, Brazil, and one
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".
I watched how the pianoist used her left hand.
(1) I watched how
(2) the pianoist
(3) No Error
(4) used her left hand
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 2
Solution : The word "pianoist" is not the correct spelling; it should be "pianist" to refer to someone who plays the piano.
Therefore, the corrected sentence is, "I watched how the pianist used her left hand," which uses the correct spelling and maintains proper grammar.
Question : Comprehension: In the following passage, some words have been deleted. Read the passage carefully and select the most appropriate option to fill in each blank.
In the $19^{\text {th }}$ century, there was an industrial revolution in Europe. As a result, millions of people left the (1) _______ and went to work in big factories in cities. Today, it is the reverse. In several major cities, people have started moving out. Why? They want a cleaner, (2)_______environment. There are fewer jobs in ‘heavy' industries like steel and power generation. (3) _______, there are more jobs in service industries like banking, tourism and food delivery. Besides, modern transport and communications have made it easier for people to (4) _______to work or even work from home. The result of this revolution in the 21st century will be ‘spread cities' – cities are growing fast, but (5) _______, away from city centres and people are choosing to live 40, 50 or 60 kilometres away.
Select the most appropriate option to fill in blank no. 2.
Option 1: greener
Option 2: worse
Option 3: dark
Option 4: higher
Correct Answer: greener
Solution : The most appropriate choice is the first option.
Explanation: In the context of people moving out of major cities for a "cleaner, greener environment" greener refers to an environment that is more environmentally friendly, with more natural areas and less pollution.
The other options
Question : If $7 a-\frac{7}{a}+4=0$, then find $a^3-\frac{1}{a^3}-1$.
Option 1: $-\frac{995}{343}$
Option 2: $-\frac{875}{248}$
Option 3: $-\frac{694}{315}$
Option 4: $-\frac{765}{262}$
Correct Answer: $-\frac{995}{343}$
Solution : Given: $7a-\frac{7}{a}+4=0$ ⇒ $7(a-\frac{1}{a})=-4$ ⇒ $(a-\frac{1}{a})=-\frac{4}{7}$ Cubing both sides, we get, ⇒ $a^3-\frac{1}{a^3}-3×a×\frac{1}{a}×(a-\frac{1}{a})=\frac{–64}{343}$ ⇒ $a^3-\frac{1}{a^3}-3× (-\frac{4}{7})=-\frac{64}{343}$ ⇒ $a^3-\frac{1}{a^3}=-\frac{64}{343}-\frac{12}{7}$ Adding –1 with both sides, we get, ⇒ $a^3-\frac{1}{a^3}-1=-\frac{64}{343}-\frac{12}{7}-1$ $\therefore a^3-\frac{1}{a^3}-1=-\frac{995}{343}$ Hence, the correct answer is $(\frac{–995}{343})$.
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