Question : The number $334 \times 545 \times 7p$ is divisible by $3340$ if $p$ is at least:
Option 1: 2
Option 2: 4
Option 3: 3
Option 4: 1
Correct Answer: 2
Solution : Given: The number $334 × 545 × 7p$ is divisible by $3340$. $\frac{334 × 545 × 7p}{3340}$ = $\frac{334 × 545 × 7p}{334×10}$ = $\frac{109 × 7p}{2}$ After going through the options we get, $p$ = 2 Hence, the correct answer is 2.
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Question : A six-digit number 763254 is divisible by 18. If we subtract five times of 41 from the number, then the new number which is formed will be divisible by:
Option 2: 7
Option 3: 5
Option 4: 3
Question : The largest six-digit number is divisible by 198, if the digits are rearranged, even then the number will be divisible by:
Option 1: 3
Option 2: 6
Option 3: 2
Option 4: 66
Question : If 86y5 is exactly divisible by 3, then the least value of y is:
Option 2: 0
Option 3: 1
Option 4: 2
Question : Find the least value of (A + B) if the number 27B58A4 is completely divisible by 88.
Option 1: 5
Option 2: 2
Option 3: 4
Option 4: 7
Question : The number 1563241234351 is:
Option 1: divisible by 11 but not by 3
Option 2: neither divisible by 3 nor by 11
Option 3: divisible by both 3 and 11
Option 4: divisible by 3 but not by 11
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