RE 5 - Arithmetic Revision Exercise | Arithmetic - Revision
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All three-digit numbers, having all three digits distinct and the tens place digit as the average of the other two digits, are arranged in an ascending order to form a single number. What will be the 38th digit of that number from left?
Solution
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ReportOn selling a certain good, the profit made by a trader is 25% of the selling price. The percentage discount he offered is same as the percentage profit earned by him. By what percentage did the trader mark up the price?
- (a)
80%
- (b)
100%
- (c)
75%
- (d)
66.67%
A group of girls went for shopping. The average number of items purchased by the first half of the girls is equal to the average amount spent by the other half and the average amount spent by the first half of the girls is equal to the average number of items purchased by the other half. If the total amount spent by all the girls is Rs. 234, then what can be the total number of items purchased by the girls in the first half, if the average amount spent by the girls in each half is an integer? (The average amount spent by the girls in the first half is more than Rs. 10).
- (a)
13
- (b)
6
- (c)
9
- (d)
39
If the number of female employees in an office e is increased by 50% and the number of male employees is decreased by 25%, then the total number of employees in the office remains same. By what percentage will the total number of employees increase, if the number of male employees and that of female employees increases by 20% and 60% respectively?
- (a)
25%
- (b)
33.33%
- (c)
50%
- (d)
66.67%
In a class of 20 students, the average weight of the boys is 1 kg more than that of the girls while the weight of the students in the class are consecutive integers from 31 to 50 kg. If the average weight of the boys and that of the girls are integral values, then find the number of boys in the class?
Siddharth, Pihu and Nidhaan paid the electricity bill of their flat for the months of January, February and March respectively. After that, Pihu and Siddharth give Rs. 250 and Rs. 450 to Nidhaan respectively, so that the final amount spent by all of them are in the ratio of 1 : 3 : 4 respectively. Find the absolute difference between the electricity bills (in Rs.) of January and February combined and March alone.
A and B are racing on a circular track. They start simultaneously and it is known that A meets B for the first time after he finishes his 5th round and before he finishes his 6th round. If it is known that there are 4 unique points where they can meet which of the following cannot be the ratio of their speeds.
- (a)
21 : 25
- (b)
21 : 17
- (c)
23 : 19
- (d)
27 : 23
A container contains 30 L of pure milk. From the container, 10 L milk is taken out, and replaced with 20 L of water. From the resulting mixture, 10 L mixture is taken out and replaced with 20 L of water. The same process is repeated (n – 2) more times. What is the ratio of water to milk in the final mixture?
- (a)
n(n + 5) : 6
- (b)
(n – 1) : 2
- (c)
(n – 2) : 2
- (d)
n (n + 4) : 7
Two consecutive numbers are removed from a list of the first ‘n’ natural numbers. The average of the remaining numbers is 33 1/3. What is the product of the two numbers that have been removed?
Five men and a woman working together can do a job in 6 days. The same job is done by one woman in ‘p’ days and by eleven men in p-5 days. By what percentage is the efficiency of a woman greater than that of a man?
- (a)
300%
- (b)
500%
- (c)
600%
- (d)
700%