TS ICET 2024 Sample Questions for Mathematical Ability with Answers

Solving TS ICET 2024 Sample Questions for Mathematical Ability is the most effective way to prepare for the Mathematical Ability section of the TS ICET 2024. This section is widely regarded as the most challenging of the three sections. The TS ICET math section has 75 questions, each worth one mark, just like the Analytical Ability section. Due to its time-consuming nature, candidates need to ensure they are thoroughly prepared for the Mathematical Ability section of the TS ICET 2024 exam. 

Scheduled to be held between June 5–6, 2024, the TS ICET 2024 exam covers topics from all three sections: Communication Ability, Mathematical Ability, and Analytical Ability. Candidates must practice sample papers to successfully tackle the mathematical ability section. Read on to find the most common TS ICET 2024 Sample Questions for Mathematical Ability with detailed solutions provided.

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TS ICET 2024 Sample Questions for Mathematical Ability

This section encompasses finding the least common multiple (LCM), percentages, profit and loss calculations, greatest common divisor (GCD), time calculations, relations and functions, median, and mean. Both Analytical and Mathematical Ability sections hold a weightage of 75 marks each, in contrast to the Communication Ability section, which is allocated 50 marks. Delve into the questions provided below to enhance your comprehension of the question types anticipated in this section.

1. What is the least number that needs to be added to 8961 to ensure it is divisible by 84?

   A. 27

   B. 57

   C. 141

   D. 107

Answer: B. 57

To make 8961 divisible by 84, we need to find the remainder when 8961 is divided by 84, then add the difference to make it divisible. Remainder = 33, so we need to add 51 to make it divisible.

2. How many composite numbers exist between 67 and 101?

   A. 27

   B. 24

   C. 26

   D. 23

Answer: D. 23

Composite numbers between 67 and 101 are 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.

3. If the sum of the digits of any number between 100 and 1000 is subtracted from the number itself, what will the resulting number always be divisible by?

   A. 2

   B. 5

   C. 6

   D. 9

Answer: C. 6

The sum of the digits of numbers between 100 and 1000 is always divisible by 9. Hence, subtracting this sum from the number itself results in a number divisible by 9.

4. To make 3401 completely divisible by 11, what is the least number that should be subtracted?

   A. 3

   B. 1

   C. 2

   D. 0

Answer: B. 1

To make 3401 divisible by 11, subtract 1. The resulting number is 3400, which is divisible by 11.

5. How many numbers between 700 and 950 are not divisible by either 3 or 7?

   A. 107

   B. 141

   C. 144

   D. 145

Answer: C. 144

Numbers between 700 and 950 not divisible by 3 or 7 can be counted using inclusion-exclusion principle. The total numbers between 700 and 950 are 251. The numbers divisible by 3 are 83, and those divisible by 7 are 36. Numbers divisible by both 3 and 7 (divisible by 21) are 17. So, the required count is 251 - 83 - 36 + 17 = 149.

6. Darshana, Swati, and Nivriti received money in the ratio of 5:6:7. If Nivriti received INR 539, what was the total amount distributed?

   A. INR 1,341

   B. INR 1,422

   C. INR 1,386

   D. INR 1,356

Answer: A. INR 1,341

Total money = 539 * (5 + 6 + 7) / 7 = INR 1,341.

7. INR 6,764 is to be distributed among P, Q, R, and S in the ratio of 8:6:3:2. How much will P and R receive together?

   A. INR 4,120

   B. INR 2,848

   C. INR 3,916

   D. INR 3,766

Answer: A. INR 4,120

P's share = 8/19 * 6764 = INR 2848; R's share = 3/19 * 6764 = INR 1056. Total = INR 2848 + INR 1056 = INR 4,120.

8. Determine the LCM of 20, 30, 45, and 65.

   A. 2000

   B. 2340

   C. 2240

   D. 180

Answer: B. 2340

LCM (20, 30, 45, 65) = 2^2 * 3^3 * 5 * 13 = 2340.

9. If the LCM and HCF of two numbers are 1105 and 5 respectively, and the LCM is 17 times the first number, what are the two numbers?

   A. 65 and 85

   B. 55 and 85

   C. 65 and 75

   D. 60 and 80

Answer: A. 65 and 85

Let the numbers be 5x and 5y. LCM * HCF = 1105 * 5 = 5525 = 17 * 5x. Solving, x = 13, y = 17.

10. Three numbers are in the ratio of 5:7:9, and their LCM is 34,650. What is their HCF?

    A. 315

    B. 55

    C. 110

    D. 99

Answer: B. 55

LCM * HCF = Product of the numbers. So, 34,650 * HCF = 5 * 7 * 9 * HCF. Hence, HCF = 55.

11. If the cost of apples is increased by 20% and then decreased by 20%, what is the net percentage decrease?

    A. 4%

    B. 3%

    C. 5%

    D. 6%

Answer: A. 4%

Let the initial cost be 100. After a 20% increase, it becomes 120. Then, after a 20% decrease, it becomes 96. The net percentage decrease is (100 - 96) / 100 * 100 = 4%.

12. If the price of petrol increased by 7%, what percentage decrease in consumption should the consumer make to keep the expenditure on petrol unchanged?

    A. 6 58/107%

    B. 5 11/107%

    C. 3 49/107%

    D. 4 99/107%

Answer: A. 6 58/107%

Let initial consumption be 100 units and initial price be 100. After a 7% increase in price, it becomes 107. To keep the expenditure unchanged, consumption must decrease to \( \frac{100 \times 100}{107} \). The percentage decrease in consumption is \( \frac{(100 - \frac{100 \times 100}{107})}{100} \times 100 \) which simplifies to \( \frac{600}{107} \).

13. A woman's expenditure to savings ratio is 5:1. If her income and expenditure both increase by 10% and 20% respectively, what is the percentage change in her savings?

    A. 55%

    B. 60%

    C. 50%

    D. 40%

Answer: B. 60%

Let the woman's income be $500 and her expenditure be $100. Savings = Income - Expenditure = $400. After the increase, her income becomes $550 and expenditure becomes $120. New savings = $550 - $120 = $430. Percentage change in savings = \( \frac{(430 - 400)}{400} \times 100 \) = 30/400 * 100 = 7.5%.

14. If the length and breadth of a rectangle are increased by 8% and 5% respectively, what is the percentage increase in the area of the rectangle?

    A. 13.4%

    B. 15.4%

    C. 12.4%

    D. 16.4%

Answer: B. 15.4%

Let the original length and breadth be 100 and 50 units respectively. After the increase, length becomes 108 and breadth becomes 52.5 units. Area increases from 5000 to 5670 units. Percentage increase = \( \frac{(5670 - 5000)}{5000} \times 100 \) ≈ 15.4%.

TS ICET Mathematical Ability Preparation Tips 2024

Effective preparation for the TS ICET exam demands a strategic approach, particularly in the mathematical ability section. By focusing on understanding concepts, practicing effectively, applying math to real-life situations, and utilizing online resources, candidates can significantly improve their readiness for the examination.

• Focus on Understanding Concepts: Spending ample time understanding concepts enhances the TS ICET preparation strategy. Strong concept clarity makes even complex questions manageable.
• Check New Concepts and Practice Problems: Avoid solving problems directly to prevent frustration. Utilize TS ICET Question Papers on Shiksha to identify and overcome challenging problem types.
• Apply Math to Real Life: Applying math concepts in real-life scenarios boosts analytical ability and maintains motivation. Continuously practicing formulas enhances problem-solving skills.
• Utilize Online Study Materials: Access various online study materials aligned with classroom learning. Solve interactive quizzes and tests to improve attention span and problem-solving speed.

Best Books for TS ICET Mathematical Ability 2024

Selecting the right study materials is paramount for success in the TS ICET mathematical Ability section. Below is a list of recommended best books for TS ICET mathematical ability preparation:  

• How to Prepare for Quantitative Aptitude for CAT by Arun Sharma
• Quantitative Aptitude for Competitive Exams by RS Agarwal
• Reasoning Test (Verbal & Non-Verbal)" by Dr. MB Lal and AK Singh

The TS ICET 2024 Sample Questions for Mathematical Ability provides insights about the type of questions to expect in the TS ICET mathematical ability. Covering topics like LCM, percentages, and more, these questions offer crucial practice for the TS ICET 2024 exam. With detailed solutions provided, candidates can enhance their understanding and strategic preparation. Additionally, valuable tips and recommended books ensure comprehensive readiness for success in this challenging section.

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