Mechanical Engineering
GATE ME topic:quantitative-aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 21–30 of 65. Imported answers require independent review unless marked reviewed.
Question 3
Open questionGAMCQ1 markNeeds review
In the above figure, O is the center of the circle and, M and N lie on the circle.
The area of the right triangle MON is 50 cm
.What is the area of the circle in cm
? 
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Open questionGAMCQ1 markNeeds review
A digital watch X beeps every 30 seconds while watch Y beeps every 32 seconds. They beeped together at 10 AM.
The immediate next time that they will be together is ______
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Open questionGAMCQ1 markNeeds review
If “⊕” means “−”,
“⊗” means “÷”,
“Δ” means “+”,
“▽” means “×”,
then, the value of the expression Δ 2 ⊕ 3 Δ ((4 ⊗ 2) ▽ 4) =
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Open questionGAMCQ1 markNeeds review
If
;
;
;
, Then, the value of
, is:Your answerChoose one option.
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Open questionGAMCQ2 marksNeeds review
A box contains 15 blue balls and 45 black balls. If 2 balls are selected randomly, without replacement, the probability of an outcome in which the first selected is a blue ball and the second selected is a black ball, is
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Open questionGAMCQ2 marksNeeds review
The number of hens, ducks and goats in farm P are 65, 91 and 169, respectively. The total number of hens, ducks and goats in a nearby farm Q is 416. The ratio of hens:ducks:goats in farm Q is 5:14:13. All the hens, ducks and goats are sent from farm Q to farm P.
The new ratio of hens:ducks:goats in farm P is_____
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Open questionGAMCQ2 marksNeeds review
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is
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Open questionGAMCQ2 marksNeeds review
The distribution of employees at the rank of executives, across different companies C1, C2, ..., C6 is presented in the chart given above. The ratio of executives with a management degree to those without a management degree in each of these companies is provided in the table above:
Company | Ratio |
|---|---|
C1 | 3:2 |
C2 | 1:4 |
C3 | 5:3 |
C4 | 2:3 |
C5 | 9:1 |
C6 | 3:4 |
The total number of executives across all companies is 10,000.
The total number of management degree holders among the executives in companies C2 and C5 together is_____
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Open questionGAMCQ1 markNeeds review
There are five levels in a linear supply chain before a product reaches customers, as shown in the figure.
At each of the five levels, the price of the product is increased by 25%. If the product is produced at level P at the cost of Rs. 120 per unit, what is the price paid (in rupees) by the customers?
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Open questionGAMCQ2 marksNeeds review
The sum of the first n terms in the sequence 8, 88, 888, 8888, … is _____.
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