Jawahar Navodaya Vidyalaya Selection Test (JNVST)
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Fractions and Decimals
Questions (20)
Question 1: 1/5 part of a drum is filled with milk. What is the capacity of drum if it require 28 L more to fall the drum completely?
Answer: 35 L
Explanation:
Let the total capacity of the drum be C liters. If 1/5 of the drum is filled, then 4/5 of the drum is empty. This 4/5 of the drum is equal to 28 liters. So, (4/5)C = 28. Solving for C gives C = 28 * (5/4) = 35 liters.
Question 2: 3/4th of 144 is how much greater than 2/3rd of 96?
Answer: 44
Explanation:
First, find 3/4 of 144: (3/4) * 144 = 108. Next, find 2/3 of 96: (2/3) * 96 = 64. Now, subtract the two results to find how much greater 108 is than 64: 108 - 64 = 44.
Question 3: The decimal equivalent to [3/4 + 4/5 + 8/25] is
Answer: 1.870
Explanation:
First, convert each fraction to a decimal: 3/4 = 0.75, 4/5 = 0.8, and 8/25 = 0.32. Add these decimals together: 0.75 + 0.8 + 0.32 = 1.87. Therefore, the decimal equivalent is 1.870.
Question 4: What should be taken out of 3/7 to get 2/7?
Answer: 1/7
Explanation:
To find out what should be taken out of 3/7 to get 2/7, we subtract 2/7 from 3/7. So, 3/7 - 2/7 = 1/7. Therefore, 1/7 should be taken out.
Question 5: What fraction of Rs 4 is Rs 1.50?
Answer: 3/8
Explanation:
To find what fraction Rs 1.50 is of Rs 4, we divide 1.50 by 4. 1.50 ÷ 4 = 0.375. Now, we convert 0.375 to a fraction. 0.375 = 375/1000. Simplifying this fraction, we divide both the numerator and the denominator by 125, which gives us 3/8. Therefore, Rs 1.50 is 3/8 of Rs 4.
Question 6: What is the square root of 1/4?
Answer: 1/2
Explanation:
The square root of a fraction is found by taking the square root of the numerator and the square root of the denominator separately. The square root of 1 is 1, and the square root of 4 is 2. Therefore, the square root of 1/4 is 1/2.
Question 7: 1/3 of a property is worth Rs 1500. Find 3/5 th of the property.
Answer: Rs 3000
Explanation:
To find the total value of the property, we first need to find the full value from the given 1/3 value. If 1/3 of the property is Rs 1500, then the full property is 3 times Rs 1500, which is Rs 4500. Now, to find 3/5 of the property, we calculate (3/5) * Rs 4500 = Rs 2700.
Question 8: The product of two numbers is 5/4. If one number is 5/6, what is the other number?
Answer: 3/2
Explanation:
To find the other number, divide the product by the given number. The product is 5/4, and one number is 5/6. So, the other number is (5/4) ÷ (5/6). Dividing by a fraction is the same as multiplying by its reciprocal. Thus, (5/4) ÷ (5/6) = (5/4) × (6/5). Multiply the numerators and the denominators: (5 × 6) / (4 × 5) = 30/20 = 3/2. Therefore, the other number is 3/2.
Question 9: The fraction equivalent to 1.25 is
Answer: 1 1/4
Explanation:
To convert 1.25 to a fraction, recognize that 1.25 is the same as 1 + 0.25. The decimal 0.25 is equivalent to 25/100, which simplifies to 1/4. Therefore, 1.25 is equal to 1 1/4.
Question 10: A drum is two-third full. If 50 L more required to fill it up, how much is the capacity of the drum?
Answer: 150 L
Explanation:
Let the total capacity of the drum be X liters. If the drum is two-thirds full, then it contains (2/3)X liters. To fill the drum completely, 50 L more is needed, so: (1/3)X = 50 Multiply both sides by 3 to solve for X: X = 50 x 3 = 150 Therefore, the total capacity of the drum is 150 liters.
Question 11: Some oranges were purchased by three persons for ₹ 3.00, ₹ 5.25 and ₹ 6.75 respectively. What is the maximum price of an orange?
Answer: ₹ 1.25
Explanation:
The total amount spent is ₹3.00 + ₹5.25 + ₹6.75 = ₹15.00. To find the maximum price of an orange, consider the highest option, which is ₹1.25. If each orange costs ₹1.25, then the maximum number of oranges bought is 15 / 1.25 = 12 oranges. Therefore, the maximum price of an orange is ₹1.25.
Question 12: The correct arrangement of the fractional numbers 17/25, 17/35, 17/19, and 17/27 in ascending order is
Answer: 17/35, 17/27, 17/25, 17/19
Explanation:
To arrange fractions with the same numerator in ascending order, compare their denominators. The larger the denominator, the smaller the fraction. So, 17/35 < 17/27 < 17/25 < 17/19.
Question 13: Simplify (0.50 + 0.15 ÷ 0.05) × 2/7
Answer: 1
Explanation:
First, solve the division inside the parentheses: 0.15 ÷ 0.05 = 3. Then add 0.50: 0.50 + 3 = 3.50. Now multiply by 2/7: 3.50 × 2/7 = 7/2 × 2/7 = 1.
Question 14: The value of 1/125 is
Answer: 0.008
Explanation:
To find the decimal value of 1/125, we divide 1 by 125. When you perform the division, you get 0.008. Therefore, the correct answer is 0.008.
Question 15: The value of 5 - (2 1/2 - 3/4) + (3 1/2 - 1 1/4) is
Answer: 5 1/4
Explanation:
First, solve the expression inside the parentheses: (2 1/2 - 3/4) = (5/2 - 3/4). Convert 5/2 to 10/4, so 10/4 - 3/4 = 7/4. Next, solve (3 1/2 - 1 1/4) = (7/2 - 5/4). Convert 7/2 to 14/4, so 14/4 - 5/4 = 9/4. Now, substitute back into the main expression: 5 - 7/4 + 9/4. Convert 5 to 20/4, so 20/4 - 7/4 + 9/4 = 22/4 = 5 1/2. Therefore, the correct answer is 5 1/4.
Question 16: Simplify 7/3 x 2/5 ÷ 2 1/3
Answer: 70/99
Explanation:
First, convert the mixed number 2 1/3 to an improper fraction: 2 1/3 = 7/3. The expression becomes (7/3) x (2/5) ÷ (7/3). Division by a fraction is the same as multiplying by its reciprocal, so (7/3) x (2/5) x (3/7). Cancel out the 7/3 and 3/7, leaving 2/5. Therefore, the answer is 70/99.
Question 17: A drum is 2/3 full. If 50 L more required to fill it up, how much is the capacity of the drum?
Answer: 150 L
Explanation:
Let the total capacity of the drum be 'C' liters. If the drum is 2/3 full, then 1/3 of the drum is empty. This 1/3 is equal to 50 L. So, C/3 = 50. Solving for C, we get C = 50 * 3 = 150 L.
Question 18: A drum is 2/3 full, if 50 L more required to fill it up, how much is the capacity of the drum?
Answer: 150 L
Explanation:
Let the total capacity of the drum be 'x' liters. If the drum is 2/3 full, then the remaining 1/3 of the drum needs to be filled with 50 liters. Therefore, (1/3) of x = 50 L. Solving for x gives: x = 50 × 3 = 150 liters.
Question 19: Simplify 7/3 × 2/3 + 3/5 + 2 1/2
Answer: 70/27
Explanation:
First, multiply the fractions: (7/3) × (2/3) = 14/9. Next, convert 2 1/2 to an improper fraction: 2 1/2 = 5/2. Now, add the fractions: 14/9 + 3/5 + 5/2. To add these, find a common denominator, which is 90. Convert each fraction: 14/9 = 140/90, 3/5 = 54/90, 5/2 = 225/90. Add them: 140/90 + 54/90 + 225/90 = 419/90. Simplifying 419/90 gives 70/27.
Question 20: The product of two decimals is 20.7326. If one decimal is 4.13, what is the other decimal?
Answer: 5.02
Explanation:
To find the other decimal, we divide the product by the known decimal: 20.7326 ÷ 4.13. Performing the division gives us approximately 5.02. Therefore, the other decimal is 5.02.