1. What is the place value of 7 in the numeral 2734?
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Answer: Option C
Explanation:
7 × 100 = 700 |
2. Find the product of the local value and absolute value of 4 in 564823
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Answer: Option C
Explanation:
Place value = Local value Face value = Absolute value The place value of 4 in 564823 is 4 x 1000 = 4000 The face value of 4 in 564823 is nothing but 4. => 4000 x 4 = 16000 |
3. Find the product of the place value and face value of 3 in 5769354
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Answer: Option A
Explanation:
Place value = Local value Face value = Absolute value The place value of 3 in 5769354 is 3 x 100 = 300 The face value of 3 in 5769354 is nothing but 3. => 300 x 3 = 900 |
4. What is the least value of x, so that 23x57 is divisible by 3.
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Answer: Option C
Explanation:
23257 is not divisible by 3 23057 is not divisible by 3 23157 is divisible by 3 23357 is not divisible by 3 2+3+1+5+7 = 18 18/3 = 6. x = 1 |
5. What is the least value of p, so that 123p578 is divisible by 11
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Answer: Option B
Explanation:
123p578 1 + 3 + 5 + 8 = 17 2 + p + 7 = 17 => 9 + p = 17 => p = 17 - 9 => p = 8 |
6. Find the prodect of the local value and absolute value of 4 in 23468
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Answer: Option B
Explanation:
Local value of 4 = 4 x 100 = 400 Place value of 4 = 4 There fore = 4 x 400 = 1600 |
7. What is the least value of x. So that 23x57 is divisible by 3.
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Answer: Option C
Explanation:
The sum of the digits of the number is divisible by 3, then the number is divisible by3. 2 + 3 + x + 5 + 7 = 17 + x Least value of x may be 1 Therefore 17 + 1 = 18 is divisible by 3. |
8. What is the least value of x, So that 2x5472 is divisible by 9
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Answer: Option A
Explanation:
The sum of the digits of the number is divisible by 9. Then the number is divisible by 9. 2 + x + 5 + 4 + 7 + 2 = 20 + x Least value of x may be '7', So that the total 20 + 7 = 27 is divisible by 9. |
9. What is the least value of k. So that 123k578 is divisible by 11.
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Answer: Option A
Explanation:
The Difference of the sum of the digits at odd place and the sum of the digits at even place of the number, is either 0 or a number divisible by 11. (1 + 3 + 5 + 8) - (2 + k + 7) = 17 - 9 - k = 8 - k Therefore if k = 8, then the value become zero. k = 8 is the least value so that 123k578 is divisible by 11. |
10. Which is the following is divisible by 11.
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Answer: Option D
Explanation:
Sum of first 'n' natural numbers = n(n + 1)/2 Sum of first 9 natural numbers = 9(9 + 1)//2 = 9 x 5 = 45 Sum of first 99 natural numbers = 99(99 + 1)//2 = 99 x 50 = 4950 4950 - 45 = 4905 |
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