Metallurgical Engineering
GATE MT Quantitative Aptitude PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 39. Imported answers require independent review unless marked reviewed.
Question 5
Open questionGAMCQ1 markNeeds review
For positive non-zero real variables
and
, if
then, the value of
isYour answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
Open questionGAMCQ2 marksNeeds review
A rectangular paper sheet of dimensions 54 cm × 4 cm is taken. The two longer edges of the sheet are joined together to create a cylindrical tube. A cube whose surface area is equal to the area of the sheet is also taken.
Then, the ratio of the volume of the cylindrical tube to the volume of the cube is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
Open questionGAMCQ2 marksNeeds review
The pie chart presents the percentage contribution of different macronutrients to a typical 2,000 kcal diet of a person.
The typical energy density (kcal/g) of these macronutrients is given in the table.
Macronutrient | Energy density (kcal/g) |
|---|---|
Carbohydrates | 4 |
Proteins | 4 |
Unsaturated fat | 9 |
Saturated fat | 9 |
Trans fat | 9 |
The total fat (all three types), in grams, this person consumes is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
Open questionGAMCQ2 marksNeeds review
A rectangular paper of 20 cm × 8 cm is folded 3 times. Each fold is made along the line of symmetry, which is perpendicular to its long edge. The perimeter of the final folded sheet (in cm) is
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
Open questionGAMCQ2 marksNeeds review
To construct a wall, sand and cement are mixed in the ratio of 3:1. The cost of sand and that of cement are in the ratio of 1:2.
If the total cost of sand and cement to construct the wall is 1000 rupees, then what is the cost (in rupees) of cement used?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 9
Open questionGAMCQ2 marksNeeds review
The coefficient of
in the polynomial
is equal to ______.Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 2
Open questionGAMCQ1 markNeeds review
A sum of money is to be distributed among P, Q, R, and S in the proportion 5 : 2 : 4 : 3, respectively.
If R gets ₹ 1000 more than S, what is the share of Q (in ₹)?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 3
Open questionGAMCQ1 markNeeds review
A trapezium has vertices marked as P, Q, R and S (in that order anticlockwise). The side PQ is parallel to side SR.
Further, it is given that, PQ = 11 cm, QR = 4 cm, RS = 6 cm and SP = 3 cm.
What is the shortest distance between PQ and SR (in cm)?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 7
Open questionGAMCQ2 marksNeeds review
Consider the following inequalities.
(i)
(ii)
Which one of the following expressions below satisfies the above two inequalities?Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 8
Open questionGAMCQ2 marksNeeds review
Four points P(0, 1), Q(0, −3), R(−2, −1), and S(2, −1) represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral?
Your answerChoose one option.
Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer