NIFT Maths Questions with Answers, Check Previous Year NIFT Maths Questions

NIFT 2027 - Types of Mathematics Questions

Given below is a structure of types of math questions that appear in the NIFT exam:

NIFT Maths Questions and Answers PDF

Careers360 experts have created a NIFT Maths questions and answers pdf along with detailed study material. Aspirants can practice NIFT free mock tests designed specifically for students aiming to get admission to BDes/ BFTech courses at the National Institute of Fashion Technology. Thoroughly check the NIFT syllabus for a clear understanding. Moreover, students can get an insight into the exam’s structure, marking schemes, and crucial tips for success.

• NIFT Quantitative Ability Section (Full Study Material) PDF

Important Preparation Resources for NIFT 2027- Free PDFs

Aspiring students preparing for the NIFT 2027 exam are advised to go through these important free PDFs given below curated especially by experts to help them in their study strategies and score high in the exam:

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Previous Year NIFT Maths Questions

Solving NIFT Maths questions that were asked in previous years is one of the important steps of the study plan. Solving and analyzing the NIFT previous year question papers will allow candidates to understand their overall preparation level and also the strong and weak areas. Below are some of the NIFT Maths questions from previous year questions papers.

Q1. A person took a loan of Rs. 10,000 at x% simple interest and after 5 years he pays a total of Rs. 14,250. Then x is?

Options:
A. 6.5
B. 8
C. 7.5
D. 8.5

Correct Option: D. 8.5
Explanation:
Simple Interest = 14,250 - 10,000 = ₹4,250
Use SI = (P × R × T)/100 → 4250 = (10000 × x × 5)/100
Solve: x = (4250 × 100) / (10000 × 5) = 8.5%

Q2. Find the fourth proportional to 6, 9, 20

Options:
A. 40
B. 60
C. 25
D. 30

Correct Option: D. 30
Explanation:
Fourth proportional = (9 × 20)/6 = 180/6 = 30

Q3. The sum of speed with which a motor ship goes with the stream and against the stream of a river is equal to 30 km/h. The speed of the motor ship in stagnant water is?

Options:
A. 12 km/h
B. 18 km/h
C. 30 km/h
D. 15 km/h

Correct Option: D. 15 km/h
Explanation:
Let the speed in still water = x, speed of stream = y
Then, (x + y) + (x - y) = 30 ⇒ 2x = 30 ⇒ x = 15 km/h

Q4. Two numbers are in the ratio 5:6. If 20 is added to each of them, the ratio becomes 7:8. The numbers are

Options:
A. 55, 66
B. 40, 48
C. 50, 60
D. 25, 30

Correct Option: C. 50, 60
Explanation:
Let numbers be 5x and 6x. Then,
(5x + 20)/(6x + 20) = 7/8
Cross-multiplying: 8(5x + 20) = 7(6x + 20)
⇒ 40x + 160 = 42x + 140 ⇒ 2x = 20 ⇒ x = 10
So, numbers = 50 and 60

Q5. A person took a loan of Rs. 10,000 at x% simple interest and after 5 years he pays a total of Rs. 14,250. Then x is?

Options:
A. 6.5
B. 8
C. 7.5
D. 8.5

Correct Option: D. 8.5
(Repeated question — same explanation as Q1)

Q6. Two bottles contain a mixture of milk and water in the ratio of 5:1 and 9:1. What proportion of quantities from the two be mixed together so that the mixture thus formed may contain milk and water in the ratio of 8:1?

Options:
A. 1:8
B. 1:5
C. 5:1
D. 2:5

Correct Option: C. 5:1
Explanation:
Use allegation:
Milk % in 5:1 = (5/6)*100 = 83.33%
Milk % in 9:1 = (9/10)*100 = 90%
Target = 8:1 ⇒ 88.89%
Apply alligation:
(90 - 88.89) : (88.89 - 83.33) ⇒ 1.11 : 5.56 ≈ 1:5 ⇒ Reverse ratio = 5:1

Q7. If twice the age of daughter is added to three times the age of mother, the sum is 120 and if twice the mother’s age is added to three times the daughter’s age, then the sum is 90. The age of mother is?

Options:
A. 30 years
B. 36 years
C. 41 years
D. 42 years

Correct Option: B. 36 years
Explanation:
Let daughter = x, mother = y
2x + 3y = 120 …(1)
3x + 2y = 90 …(2)
Solving: Multiply (1) by 3 and (2) by 2:
6x + 9y = 360
6x + 4y = 180
Subtract: 5y = 180 ⇒ y = 36

Q8. What is the value of A:B:C, if A:B = 2:3 and B:C = 4:5?

Options:
A. 8:12:15
B. 2:3:4
C. 2:3:5
D. 4:6:11

Correct Option: A. 8:12:15
Explanation:
A:B = 2:3
B:C = 4:5
Make B same: LCM of 3 and 4 = 12
⇒ A:B = 8:12, B:C = 12:15
So, A:B:C = 8:12:15

Q9. If the cost price of 24 articles is equal to the selling price of 16 articles, then profit/loss percentage is?

Options:
A. 40% loss
B. 50% profit
C. 45% loss
D. 33.33% profit

Correct Option: B. 50% profit
Explanation:
Let CP of 1 article = ₹1 ⇒ CP of 24 = ₹24
SP of 16 = ₹24 ⇒ SP of 1 = ₹1.5
Profit = 0.5 on CP 1 ⇒ (0.5/1) × 100 = 50%

Q10. x% of y + y% of x is equal to?

Options:
A. 2% of xy
B. 20% of xy
C. 2% of 100 xy
D. 2.5% of xy

Correct Option: A. 2% of xy
Explanation:
x% of y = (x/100) × y
y% of x = (y/100) × x
Sum = (xy + xy)/100 = 2xy/100 = 2% of xy

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NIFT 2027 Sample Paper

Candidates can download NIFT sample papers at the official website - nift.ac.in and from this page. Sample papers include section-wise questions including NIFT Maths paper.

NIFT 2027 High-Weightage Topics for Maths

Some of the important topics for NIFT preparation for Maths sections are mentioned below. These important topics in NIFT maths syllabus are based on the previous years NIFT exam analysis.

• Number System
• HCF LCM
• Percentage
• Profit And Loss
• Average / Ratio
• Simple Interest And Compound Interest
• Time Speed And Distance
• Boats And Streams
• Time And Work
• Mixtures

How to prepare for NIFT 2027 Math section?

Candidates can below check some expert’s tips and tricks to improve Mathematical skills for NIFT entrance exam 2027:

• Emphasize Practice: Achieving proficiency in math requires more than just reading or listening. Actively engage in problem-solving to enhance your skills. The more problems you solve, the better equipped you’ll be. Practice different problem-solving approaches to build versatility.
• Learn from Mistakes: When practicing NIFT sample papers or previous year questions, thoroughly analyze your solutions, especially if you make mistakes. Understand the shortcomings in your problem-solving approach. Identifying errors helps strengthen your skills and prevents repeating the same mistakes.
• Grasp Key Concepts: Avoid memorizing processes; instead, focus on understanding the underlying logic. Mathematics builds on sequential concepts, so ensure a solid grasp of fundamental principles before tackling more complex problems. Understanding the “why” is crucial for long-term success.
• Address Doubts: When stuck on a part of a problem, resist the urge to skip it. Take the time to comprehend the solution process. Once you understand the initial problem, use it as a foundation to progress through the entire question. Math mastery requires time, patience, and a willingness to confront challenges.
• Optimise Study Environment: Create a distraction-free study environment for math, a subject demanding high concentration. Background music, chosen carefully for a relaxing atmosphere, can aid focus. Eliminate distractions to enhance your ability to solve complex problems in geometry, algebra, or trigonometry.
• Build a Mathematical Dictionary: Compile notes, flashcards, or cheat sheets containing essential math concepts, terminology, and definitions while studying detailed topics from NIFT syllabus. Include meanings, key points, and sample answers for quick reference. This resource will serve as a handy tool for reviewing and reinforcing your understanding.
• Apply Math to Real-World Problems: Relate mathematical concepts to real-world scenarios to make them more tangible. Applying math to practical situations can alter your perspective and enhance comprehension. For instance, use probability to assess risks in everyday decisions, such as buying a lottery ticket.

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