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GATE EC 2021: General Aptitude Quiz 4

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Question 1

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible.

Question 2

The multi-level hierarchical pie chart shows the population of animals in a reserve forest. The correct conclusions from this information are:

(i) Butterflies are birds
(ii) There are more tigers in this forest than red ants
(iii) All reptiles in this forest are either snakes or crocodiles
(iv) Elephants are the largest mammals in this forest

Question 3

A group of 3000 students, which includes 1750 girls, in a school are engaged in exactly one of the 5 activities as per details given below in the table. What is the difference in the number of boys opting for craft and dancing compared to drawing and swimming?

Question 4

Venkat earns Rs 18,00,000 per annum which is spent under various heads as under:
Food: 24%
Transportation and House rent: 19%
Clothing: 9%
Miscellaneous heads: 22%
Savings: 14%
Loan installment: 18,000 per month.
If he cuts down his expenditure on food by 4.33% and his clothing expense is down by 4%, and the entire saving thus achieved is used to pay off his loan, then the increase in the monthly installment of loan that he can afford is ` ___________.

Question 5

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. What is the percentage increase in total cost for the company in 2013?

Question 6

A firm producing air purifiers sold 200 units in 2012. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportation costs in the total manufacturing cost of the firm in 2012. The expenditure on labour in 2012 is Rs. 4,50,000. In 2013, the raw material expenses increased by 30% and all other expenses increased by 20%. If the company registered a profit of Rs. 10 lakhs in 2012, at what price (in Rs.) was each air purifier sold?
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Dec 20ESE & GATE EC