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Questions and Answers
Which topic is NOT considered a part of quantitative aptitude syllabus?
Which topic is NOT considered a part of quantitative aptitude syllabus?
- Percentage
- Environmental Science (correct)
- Linear Equations
- Simple Interest
In which year were there no 1 mark questions in GATE?
In which year were there no 1 mark questions in GATE?
- 2010 (correct)
- 2014
- 2016
- 2015
How many total questions were presented in GATE 2012?
How many total questions were presented in GATE 2012?
- 8
- 5
- 7 (correct)
- 3
Which concept is a part of the quantitative aptitude syllabus related to financial analysis?
Which concept is a part of the quantitative aptitude syllabus related to financial analysis?
What type of questions dominate the GATE papers in the years analyzed, in terms of points?
What type of questions dominate the GATE papers in the years analyzed, in terms of points?
In GATE 2014, how many sets were present in total?
In GATE 2014, how many sets were present in total?
Which of the following topics involves calculating the possibility of an event occurring?
Which of the following topics involves calculating the possibility of an event occurring?
Which year had the maximum number of 2 mark questions according to the data provided?
Which year had the maximum number of 2 mark questions according to the data provided?
What defines a composite number?
What defines a composite number?
Which of the following numbers is a perfect number?
Which of the following numbers is a perfect number?
What is the first term in the Fibonacci sequence?
What is the first term in the Fibonacci sequence?
Which inequality is correctly represented?
Which inequality is correctly represented?
What is the sum of the divisors of 28 excluding itself?
What is the sum of the divisors of 28 excluding itself?
If Vinod and Lokesh have their money divided in the ratio of 3:7 and Vinod receives Rs. 240, how much does Lokesh get?
If Vinod and Lokesh have their money divided in the ratio of 3:7 and Vinod receives Rs. 240, how much does Lokesh get?
Which sequence represents the Fibonacci sequence starting from 1?
Which sequence represents the Fibonacci sequence starting from 1?
In the proportion statement a:b = c:d, which terms are referred to as extremes?
In the proportion statement a:b = c:d, which terms are referred to as extremes?
Which number is classified as a natural number and a composite number?
Which number is classified as a natural number and a composite number?
What is the definition of proportion?
What is the definition of proportion?
What characteristic do Fibonacci numbers share?
What characteristic do Fibonacci numbers share?
If the number of girls in a school is 468 and increases by 60, what will be the total number of girls?
If the number of girls in a school is 468 and increases by 60, what will be the total number of girls?
In the example given, if the ratio of boys to girls is 5:2, what fraction represents the boys?
In the example given, if the ratio of boys to girls is 5:2, what fraction represents the boys?
Which statement is true for quantities a, b, c, and d to be in proportion?
Which statement is true for quantities a, b, c, and d to be in proportion?
If the total number of boys was calculated as 1170 in a school, what was the original ratio of boys to girls?
If the total number of boys was calculated as 1170 in a school, what was the original ratio of boys to girls?
If the increased number of girls changes the ratio of boys to girls to 4:3, what was the decrease in the number of boys needed?
If the increased number of girls changes the ratio of boys to girls to 4:3, what was the decrease in the number of boys needed?
What is indicated by the expression X Y?
What is indicated by the expression X Y?
In the proportion a : b = b : c, which term is referred to as the mean proportional?
In the proportion a : b = b : c, which term is referred to as the mean proportional?
If X1 = KY1 and X2 = KY2, what can we conclude about their ratio?
If X1 = KY1 and X2 = KY2, what can we conclude about their ratio?
Which term describes a quantity that remains constant in direct variation?
Which term describes a quantity that remains constant in direct variation?
What is the fourth proportional to the sequence 12a², 9a²b, and 6ab²?
What is the fourth proportional to the sequence 12a², 9a²b, and 6ab²?
How is the relationship between X and Y expressed in terms of K when X Y?
How is the relationship between X and Y expressed in terms of K when X Y?
What does b² = ac represent in the context of proportions?
What does b² = ac represent in the context of proportions?
Which of the following statements correctly describes continued proportion?
Which of the following statements correctly describes continued proportion?
If the initial price of a commodity is Rs. 100/gm and it decreases to Rs. 80/gm while the expenditure remains Rs. 100, what is the new consumption in gm?
If the initial price of a commodity is Rs. 100/gm and it decreases to Rs. 80/gm while the expenditure remains Rs. 100, what is the new consumption in gm?
What is the percentage increase in consumption if it increases from 1 gm to 5/4 gm?
What is the percentage increase in consumption if it increases from 1 gm to 5/4 gm?
A rectangle's length increases by 14% and its breadth by 8%. What is the formula for the new area?
A rectangle's length increases by 14% and its breadth by 8%. What is the formula for the new area?
How is the percentage increase in area of the rectangle determined after the length and breadth increase?
How is the percentage increase in area of the rectangle determined after the length and breadth increase?
What is the cost price if a shopkeeper sells an article at a price of Rs. 120 with a gain of 20%?
What is the cost price if a shopkeeper sells an article at a price of Rs. 120 with a gain of 20%?
What formula represents the selling price based on cost price and loss percentage?
What formula represents the selling price based on cost price and loss percentage?
If a shopkeeper experiences a loss of 10% on an article with a cost price of Rs. 200, what is the selling price?
If a shopkeeper experiences a loss of 10% on an article with a cost price of Rs. 200, what is the selling price?
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Study Notes
Quantitative Aptitude Syllabus
- Topics include Numbers, Linear Equations, Ratio, Proportion, Variation, Percentage, Profit & Loss, and Partnership.
- Covers Simple & Compound Interest, Average-Mixture-Alligation, Time and Work, Pipes & Cisterns, Time-Speed-Distance, Permutation and Combination, Probability, Geometry & Mensuration.
GATE Exam Analysis
- Exam papers from 2010 to 2018 show varying distributions of 1-mark and 2-mark questions.
- Example:
- 2010: 3 questions total (0 one-mark, 3 two-mark)
- 2018: 14 questions total (1 one-mark, 6 two-mark)
Composite Numbers
- Composite numbers are natural numbers with factors other than one and itself (e.g., 4, 6, 8, 9).
- Defined as natural numbers that are not prime.
Perfect Numbers
- A number is perfect if the sum of its divisors (excluding itself) equals the number (e.g., 6: 1 + 2 + 3 = 6).
- Example of perfect numbers: 6 and 28.
Fibonacci Numbers
- Sequence where each term is the sum of the two preceding terms (e.g., 1, 1, 2, 3, 5, 8).
- Named after Leonardo Fibonacci, who popularized it.
Proportion
- A statement that shows the equality of two ratios, such as a:b = c:d.
- In a proportion, a and d are extremes, and b and c are means.
Direct Variation
- Two quantities are in direct proportion if an increase/decrease in one leads to a similar change in the other (X ∝ Y).
- Relationships represented as X = kY, where k is a constant.
Calculating Changes in Ratios
- Example problem:
- Original boys to girls ratio is 5:2 in a school of 1638 students.
- After an increase of girls, find necessary decrease in boys to maintain a new ratio.
Profit and Loss Formulas
- Cost Price (C.P.) is the buying price; Selling Price (S.P.) is the price at which it is sold.
- Gain can be calculated using:
- Gain% = [(S.P. - C.P.) / C.P.] × 100
- S.P. = C.P. × (100 + Gain%) / 100
- Loss% = [Loss / C.P.] × 100
Area Calculation Changes
- If length increases by 14% and breadth by 8%, the percentage increase in area can be derived from the new dimensions.
- New area = New length × New breadth; calculate the percentage increase in area accordingly.
Important Concepts
- Understanding the properties of numbers (composite, perfect, Fibonacci) is crucial for problem-solving.
- Familiarity with proportions and their applications aids in solving ratio-related questions.
- Mastery of profit and loss calculations is essential for financial aptitude in engineering contexts.
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