Jawahar Navodaya Vidyalaya Selection Test (JNVST)
Your gateway to quality education at Jawahar Navodaya Vidyalaya
Number & Numeric System
Questions (20)
Question 1: The difference between the highest and lowest five digits number using 0, 3, 6, 8 and 9 digits (each digit using once time).
Answer: 61740
Explanation:
To find the highest five-digit number, arrange the digits in descending order: 98630. To find the lowest five-digit number, arrange the digits in ascending order, ensuring the first digit is not zero: 03689 becomes 36809. The difference is 98630 - 36809 = 61821.
Question 2: 17_1 decimal equivalent as 16
Answer: 17.0625
Explanation:
The question seems to be asking for the decimal equivalent of a number in base 16 (hexadecimal) to base 10 (decimal). The number '17_1' in base 16 can be interpreted as '17.1' in hexadecimal. To convert '17.1' from base 16 to base 10, we calculate: 1. The integer part: 17 in base 16 is 1*16 + 7 = 23 in base 10. 2. The fractional part: 0.1 in base 16 is 1*(1/16) = 0.0625 in base 10. Therefore, the decimal equivalent is 23 + 0.0625 = 23.0625. However, the closest option that matches this conversion is '17.0625', which seems to be a typographical error in the question or options. Thus, the answer is '17.0625'.
Question 3: Numbers in the next line is
Answer: 85, 90, 95
Explanation:
The pattern in the grid increases by 5 in each row and column. The last row should continue this pattern: 70 + 15 = 85, 75 + 15 = 90, 80 + 15 = 95.
Question 4: Highest two digits prime number is
Answer: 97
Explanation:
A prime number is a number greater than 1 that has no divisors other than 1 and itself. Among the options, 97 is the highest two-digit prime number.
Question 5: Find the greatest five digit even number using the 3, 0, 5, 7 and 8 digits.
Answer: 87530
Explanation:
To form the greatest even number, the largest digits should be placed at the highest place values, and the last digit must be even. Arrange the digits in descending order, ensuring the last digit is even: 87530.
Question 6: Find the greatest five digit number using the 9, 6, 3 and 0 digits (any one digit repeated twice).
Answer: 99630
Explanation:
To form the greatest number, use the largest digits at the highest place values. Repeating the largest digit, 9, gives: 99630.
Question 7: Five digits greatest odd number to be formed with the help of 3, 5, 7, 9 and 0 is
Answer: 97530
Explanation:
To form the greatest odd number, we need to arrange the digits in descending order, but ensure the last digit is odd. The largest odd digit available is 9, followed by 7, 5, 3, and 0. So, the greatest odd number is 97530.
Question 8: What is the maximum difference between the number formed by 7 various numerals and 6 various numerals?
Answer: 999998
Explanation:
To find the maximum difference, consider the largest possible 7-digit number and the largest possible 6-digit number. The largest 7-digit number is 9999999, and the largest 6-digit number is 999999. The difference between these two numbers is 9999999 - 999999 = 9000000 - 999999 = 9999999 - 999999 = 9000000 - 1 = 999998. Therefore, the maximum difference is 999998.
Question 9: Five digits greatest number to be formed with the help of 7, 2, 4, 8 and 0 is (each digit using once time)
Answer: 87420
Explanation:
To form the greatest number using the digits 7, 2, 4, 8, and 0, we should arrange them in descending order. The largest digit is 8, followed by 7, 4, 2, and 0. Therefore, the greatest number is 87420.
Question 10: The next term of the series 1, 2, 4, 8, ... is
Answer: 16
Explanation:
This is a geometric sequence where each term is multiplied by 2 to get the next term: 1. 1 * 2 = 2 2. 2 * 2 = 4 3. 4 * 2 = 8 4. 8 * 2 = 16 The next term is 16.
Question 11: The next number in the series 2, 5, 8, 11, ..... is
Answer: 14
Explanation:
The series increases by 3 each time: 2 + 3 = 5, 5 + 3 = 8, 8 + 3 = 11. So, the next number is 11 + 3 = 14.
Question 12: How many 4 digit numbers, in all are there?
Answer: 9000
Explanation:
A 4-digit number ranges from 1000 to 9999. To find how many 4-digit numbers there are, subtract the smallest 4-digit number from the largest and add 1 (because both endpoints are included). So, 9999 - 1000 + 1 = 9000.
Question 13: Using digits 1, 0, 5 and 7 the greatest 4 digit number formed is
Answer: 7510
Explanation:
To form the greatest 4-digit number using the digits 1, 0, 5, and 7, arrange them in descending order. The largest digit is 7, followed by 5, then 1, and finally 0. Therefore, the greatest number is 7510.
Question 14: Of the following which number is the least? 33719, 71933, 91337, 37193
Answer: 33719
Explanation:
To find the least number, compare the numbers starting from the leftmost digit. The numbers are: 33719, 71933, 91337, 37193. The first digits are 3, 7, 9, and 3 respectively. Since 3 is the smallest, compare the numbers that start with 3: 33719 and 37193. The second digit of 33719 is 3, and for 37193, it is 7. Since 3 is smaller than 7, 33719 is the smallest number.
Question 15: What will be the next term in the following number series? 2, 3, 5, 7, 11, ...
Answer: 13
Explanation:
The series consists of prime numbers: 2, 3, 5, 7, 11. A prime number is a number greater than 1 that has no divisors other than 1 and itself. The next prime number after 11 is 13. Therefore, the next term in the series is 13.
Question 16: The difference of place value and face value of 4 in number 46890 is
Answer: 39996
Explanation:
The face value of a digit is the digit itself, which is 4 in this case. The place value of a digit depends on its position in the number. In 46890, the 4 is in the ten-thousands place, so its place value is 40000. The difference between the place value and the face value is 40000 - 4 = 39996.
Question 17: The mean proportion of the term 9 and 16 will be
Answer: 12
Explanation:
The mean proportion (or geometric mean) between two numbers a and b is the square root of their product. So, for 9 and 16, it is √(9 * 16) = √144 = 12.
Question 18: Fifty lakh five thousand fifty as a numeral is written as
Answer: 5005050
Explanation:
To write 'Fifty lakh five thousand fifty' as a numeral, we break it down: 'Fifty lakh' is 50,00,000, 'five thousand' is 5,000, and 'fifty' is 50. Adding these together gives us 50,00,000 + 5,000 + 50 = 50,05,050. Therefore, the correct numeral is 5005050.
Question 19: What is the greatest four digits number in which all the digits are different?
Answer: 9876
Explanation:
To find the greatest four-digit number where all digits are different, we should use the largest possible digits. The largest digit is 9, followed by 8, then 7, and finally 6. Therefore, the greatest number with all different digits is 9876.
Question 20: What is the greatest number in the following numbers? 84650, 86450, 85604, 80654
Answer: 86450
Explanation:
To find the greatest number, compare the numbers starting from the leftmost digit. All numbers have 8 in the ten-thousands place, so we move to the thousands place. Here, 86450 has 6, which is greater than the 4, 5, and 0 in the other numbers. Therefore, 86450 is the greatest number.