Question : How many numbers are there from 300 to 700 which are divisible by 2, 3, and 7?
Option 1: 7
Option 2: 8
Option 3: 9
Option 4: 10
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Correct Answer: 9
Solution : Given: Range from 300 to 700. $\Rightarrow \frac{700 - 300}{\text{LCM of 2, 3 ,7}}$ $\Rightarrow \frac{400}{42} = 9.523$ Take only the integer part i.e., 9. Hence, the correct answer is 9.
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Question : How many numbers are there from 700 to 950 which are neither divisible by 3 nor by 7?
Option 1: 107
Option 2: 141
Option 3: 144
Option 4: 145
Question : How many numbers from 1 to 430 are divisible by 7 and 11 both?
Option 1: 5
Option 2: 11
Option 4: 7
Question : Directions: By Interchanging the given two numbers which of the following equations will be not correct? 7 and 9
Option 1: 8 × 3 ÷ 6 + 9 – 7 = 2
Option 2: 7 + 6 – 9 × 4 ÷ 2 = 2
Option 3: 9 + 4 × 3 – 7 ÷ 1 = 10
Option 4: 9 × 3 + 4 ÷ 2 – 7 = 14
Question : A four-digit number abba is divisible by 4 and a < b. How many such numbers are there?
Option 1: 10
Option 3: 12
Option 4: 6
Question : Directions: By interchanging the given two signs and numbers which of the following equations will be correct? × and +, 9 and 6
Option 1: 7 × 6 ÷ 3 + 9 – 8 = 17
Option 2: 6 × 8 – 9 ÷ 3 + 5 = 50
Option 3: 7 + 6 × 4 ÷ 9 – 8 = 8
Option 4: 9 × 7 + 4 ÷ 1 – 6 = 7
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