Question
If the 4-digit number a34b is exactly divisible by 9, what
is the least value of (a + b)?Solution
ATQ,
The sum of digits = a+3+4+b = a+b+7
For divisibility by 9, a + b + 7 should be a multiple of 9.
The smallest value of a + b that satisfies this condition is 2.
Thus, least value of (a + b) = 2.
Manmeet decided to donate 20% of her salary to an NGO. On the day of donation she changed her mind and donated Rs. 13520 which was 80% of what she decid...
Two numbers are less than a third number by 36% and 40% respectively. Find the percent by which the second number is less than the first.
Out of 650 students in school, 20% students like samosa only and 30% students like samosa and momos both. If 40% students don’t like any snacks then f...
In a survey of 1,000 people, 40% preferred Brand X, 30% preferred Brand Y, and the remaining 30% had no preference. If the survey sample is expanded to ...
Monthly income of P is Rs.14000 and his monthly savings is Rs.8500. If his monthly income is decreased by 30% and monthly expenditure is decreased by 25...
Monthly income of A is Rs. 3500 and he saves 42% of his monthly income. If monthly expenditure of A is decreased by 35% while his monthly savings is inc...
In a mixed school 25% of the scholars are infants under 7 and the number of girls above 7 is 4/5 of the number of boys above 7, and amounts to 120. Find...
- Income of 'M' is 30% more than that of 'N'. 'M' and 'N' save 50% and 40% of their respective incomes. If their expenditure difference is Rs. 600, what is t...
Data was gathered from a survey as to what sport was liked by the people surveyed. The data was represented by a pie chart, and the sector representing ...
A man's annual income has increased by Rs 5 lakhs but the tax on income that he has to pay has reduced from 12% to 10%. He now pays Rs 10,000 more inco...