Question : How many numbers are there from 400 to 700 in which the digit 6 occurs exactly twice?
Option 1: 19
Option 2: 18
Option 3: 21
Option 4: 20
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Correct Answer: 20
Solution : Given: The numbers are there from 400 to 700. In 400 – 500 ⇒ 466 = 1 time In 500 – 600 ⇒ 566 = 1 time In 600 – 700 ⇒ 9 times ⇒ 660, 661, 662, 663, 664, 665, 667, 668, 669 Again, 9 times = 606, 616, 626, 636, 646, 656, 676, 686, 696 The numbers from 400 to 700 in which the digit 6 occurs exactly twice = 1 + 1 + 9 + 9 = 20. Hence, the correct answer is 20.
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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
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 numbers which of the following equations will be correct? 4 and 6
Option 1: 4 ÷ 2 + 3 – 6 × 5 = –14
Option 2: 9 ÷ 3 + 6 × 5 – 4 = 18
Option 3: 4 × 3 + 6 – 2 ÷ 1 = 21
Option 4: 4 – 6 ÷ 2 + 3 × 5 = 20
Question : The arithmetic mean of the following data is _________. 23, 17, 20, 19, 21
Option 1: 20
Option 2: 19
Option 3: 23
Option 4: 21
Question : The remainder when $19^{19}+20$ is divided by 18, is:
Option 1: 3
Option 2: 2
Option 3: 1
Option 4: 0
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