Quantitative Aptitude for Engineering

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Questions and Answers

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?

2010 (correct)

2014

2016

2015

How many total questions were presented in GATE 2012?

7 (correct)

Which concept is a part of the quantitative aptitude syllabus related to financial analysis?

Profit-Loss and Partnership Signup and view all the answers

What type of questions dominate the GATE papers in the years analyzed, in terms of points?

Two mark questions Signup and view all the answers

In GATE 2014, how many sets were present in total?

3 sets Signup and view all the answers

Which of the following topics involves calculating the possibility of an event occurring?

Probability Signup and view all the answers

Which year had the maximum number of 2 mark questions according to the data provided?

2015 Set-3 Signup and view all the answers

What defines a composite number?

A natural number greater than 1 that is not prime. Signup and view all the answers

Which of the following numbers is a perfect number?

6 Signup and view all the answers

What is the first term in the Fibonacci sequence?

1 Signup and view all the answers

Which inequality is correctly represented?

-6 is less than -4. Signup and view all the answers

What is the sum of the divisors of 28 excluding itself?

24 Signup and view all the answers

If Vinod and Lokesh have their money divided in the ratio of 3:7 and Vinod receives Rs. 240, how much does Lokesh get?

Rs. 560 Signup and view all the answers

Which sequence represents the Fibonacci sequence starting from 1?

1, 1, 2, 3, 5, 8, 13 Signup and view all the answers

In the proportion statement a:b = c:d, which terms are referred to as extremes?

a and d Signup and view all the answers

Which number is classified as a natural number and a composite number?

8 Signup and view all the answers

What is the definition of proportion?

A statement expressing the equality of two ratios Signup and view all the answers

What characteristic do Fibonacci numbers share?

Each term is the sum of the two preceding terms. Signup and view all the answers

If the number of girls in a school is 468 and increases by 60, what will be the total number of girls?

528 Signup and view all the answers

In the example given, if the ratio of boys to girls is 5:2, what fraction represents the boys?

$\frac{5}{7}$ Signup and view all the answers

Which statement is true for quantities a, b, c, and d to be in proportion?

The product of the means must equal the product of the extremes. Signup and view all the answers

If the total number of boys was calculated as 1170 in a school, what was the original ratio of boys to girls?

3:7 Signup and view all the answers

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?

60 Signup and view all the answers

What is indicated by the expression X  Y?

X is directly proportional to Y Signup and view all the answers

In the proportion a : b = b : c, which term is referred to as the mean proportional?

b Signup and view all the answers

If X1 = KY1 and X2 = KY2, what can we conclude about their ratio?

The ratio X1/X2 is equal to Y1/Y2 Signup and view all the answers

Which term describes a quantity that remains constant in direct variation?

Proportionality constant Signup and view all the answers

What is the fourth proportional to the sequence 12a², 9a²b, and 6ab²?

15a²b Signup and view all the answers

How is the relationship between X and Y expressed in terms of K when X  Y?

X = K * Y Signup and view all the answers

What does b² = ac represent in the context of proportions?

Mean proportional Signup and view all the answers

Which of the following statements correctly describes continued proportion?

It relates three quantities where the first is to the second as the second is to the third. Signup and view all the answers

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?

1.25 gm Signup and view all the answers

What is the percentage increase in consumption if it increases from 1 gm to 5/4 gm?

25% Signup and view all the answers

A rectangle's length increases by 14% and its breadth by 8%. What is the formula for the new area?

Area = $1.14l imes 1.08b$ Signup and view all the answers

How is the percentage increase in area of the rectangle determined after the length and breadth increase?

1.14 * 1.08 - 1 Signup and view all the answers

What is the cost price if a shopkeeper sells an article at a price of Rs. 120 with a gain of 20%?

Rs. 100 Signup and view all the answers

What formula represents the selling price based on cost price and loss percentage?

SP = CP * (100 - Loss%) / 100 Signup and view all the answers

If a shopkeeper experiences a loss of 10% on an article with a cost price of Rs. 200, what is the selling price?

Rs. 180 Signup and view all the answers

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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Description

This quiz covers various topics in quantitative aptitude tailored for students in civil, computer science, electrical, instrumentation, electronics, and mechanical engineering. Explore areas such as numbers, linear equations, ratios, percentages, and more. Test your skills and readiness for examinations in these fields!