The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
A) 10000
B) 12000
C) 14000
D) 16000
Answer: B) 12000
Explanation:
= Rs.12000
The value of a machine depreciates at the rate of 10% every year. It was purchased 3 years ago. If its present value is Rs. 8748, its purchase price was :
A) 10000
B) 12000
C) 14000
D) 16000
Answer: B) 12000
Explanation:
= Rs.12000
If 20% of a = b, then b% of 20 is the same as :
A) 4% of a
B) 6% of a
C) 8% of a
D) 10% of a
Answer: A) 4% of a
Explanation:
20% of a = b
b% of 20 = = = = 4% of a.
Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can be obtained from 100 kg of fresh fruits ?
A) 20
B) 30
C) 40
D) 50
Answer: C) 40
Explanation:
The fruit content in both the fresh fruit and dry fruit is the same.
Given, fresh fruit has 68% water.so remaining 32% is fruit content. weight of fresh fruits is 100kg
Dry fruit has 20% water.so remaining 80% is fruit content.let weight if dry fruit be y kg.
fruit % in freshfruit = fruit% in dryfruit
(32/100) * 100 = (80/100 )* y
we get, y = 40 kg
In an election between two candidates, one got 55% of the total valid votes, 20% of the votes were invalid. If the total number of votes was 7500, the number of valid votes that the other candidate got, was :
A) 2500
B) 2700
C) 2900
D) 3100
Answer: B) 2700
Explanation:
Total number of votes = 7500
Given that 20% of Percentage votes were invalid
=> Valid votes = 80%
Total valid votes =
1st candidate got 55% of the total valid votes.
Hence the 2nd candidate should have got 45% of the total valid votes
=> Valid votes that 2nd candidate got = total valid votes x
A's salary is 40% of B's salary which is 25% of C's salary. What percentage of C's salary is A's salary ?
A) 10
B) 20
C) 30
D) 40
Answer: A) 10
Explanation:
A's Salary = 40% of B = 40% of (25% of C) = % of C = 10% of C.
A man spends 35% of his income on food, 25% on children's education and 80% of the remaining on house rent. What percent of his income he is left with ?
A) 6 %
B) 8 %
C) 10 %
D) 12 %
Answer: B) 8 %
Explanation:
Let the total income be x.
Then, income left = (100 -80)% of [100 - (35 + 25)] % of x = 20% of 40% of x
=% of x = 8 % of x.
In a History examination, the average for the entire class was 80 marks. If 10% of the students scored 35 marks and 20% scored 90 marks, what was the average marks of the remaining students of the class ?
A) 25
B) 50
C) 75
D) 100
Answer: C) 75
Explanation:
Let the number of students in the class be 100 and let this required average be x.
Then, (10 * 95) + (20 * 90) + (70 * x) = (100 * 80)
=> 70x = 8000 - (950 + 1800) = 5250
=> x = 75.
A housewife saved Rs. 2.50 in buying an item on sale. If she spent Rs. 25 for the item, approximately how much percent she saved in the transaction ?
A) 8
B) 9
C) 10
D) 11
Answer: B) 9
Explanation:
Actual price = Rs. (25 + 2.50) = Rs. 27.50.
Saving = 2.50
Percentage Saving =
=
= %
%
270 candidates appeared for an examination, of which 252 passed. The pass percentage is :
A) (91 + 1/3)%
B) (93 + 1/3 )%
C) (97 + 1/3 )%
D) (98 + 1/3) %
Answer: B) (93 + 1/3 )%
Explanation:
Pass percentage = % = % = %
Gaurav spends 30% of his monthly income on food articles, 40% of the remaining on conveyance and clothes and saves 50% of the remaining. If his monthly salary is Rs. 18,400, how much money does he save every month ?
A) 3864
B) 4903
C) 5849
D) 6789
Answer: A) 3864
Explanation:
Saving = 50% of (100 - 40)% of (100 - 30)% of Rs. 18,400
= Rs. (50/100 * 60/100 * 70/100 * 18400) = Rs. 3864.
If A's height is 40% less than that of B, how much percent B's height is more than that of A?
A) 66.66%
B) 76.66%
C) 96.66%
D) 86.66%
Answer: A) 66.66%
Explanation:
Excess of B's height over A's = [(40/(100 - 40)] x 100%
= 66.66%
A car owner buys petrol at Rs 7.50, Rs. 8 and Rs. 8.50 per litre for three successive years. What approximately is the average cost per litre of petrol if he spends Rs. 4000 each year ?
A) 6.23
B) 7.98
C) 8.97
D) 9.89
Answer: B) 7.98
Explanation:
Total quantity of petrol consumed in 3 years = liters
= liters
= liters
Total amount spent = Rs. (3 x 4000) = Rs. 12000.
Average cost = Rs. = Rs. 7.98.
A motorist travels to a place 150 km away at an average speed of 50 km/hr and returns at 30 km/hr. His average speed for the whole journey in km/hr is :
A) 35
B) 36
C) 37.5
D) 38.2
Answer: C) 37.5
Explanation:
Average speed = (2xy) /(x + y) km/hr
= (2 * 50 * 30) / (50 + 30) km/hr.
= 37.5 km/hr.
A batsman makes a score of 70 runs in the 15 th inning and thus increases average by 2 runs. Find the average after 15 th inning ?
Solution : Let the average after 15 th inning be x
The average after 14 th inning = (x-2)
Now 14 (x-2)+70=15x
So x=42
Ex. Find the average of first 10 multiples of 8 ?
Solution :
There were 42 students in a hostel. If the number of students increases by 7, the expenses of the mess increases by Rs 49 per day.While the average expenditure per head diminishes by Rs. 1. Find the original expenditure of the mess.
Solution : Let the average expenditure was Rs. x
So total expenditure will be 42x.
When 7 more students join the mess, total expenditure= 42x+49
So x= 14, therefore original expenditure of the mess= 42*14=Rs 588
The mean temperature of Monday to Wednesday was 27 °C and of Tuesday to Thrusday was 24 °C. If the temperature on Thrusday was 2 / 3 rd of the temperature on Monday, What was the temperature on Thrusday ?
Solution : Mon + Tue + Wed = 81
Tue + Wed + Thu = 72
hence Mon - Thu = 9
Also Thu = ( 2 /3 ) * Mon
So the temperature of Thrusday = 18 °C
A man divides his total journey into three equal parts and decides to travel the three parts with speeds 60 km / hr , 24 km / hr and 45 km /hr . Find the average speed during the whole journey ?
Solution : Average speed = 3 * 60 * 24 * 45 / 60 * 24 + 24 * 45 + 45 * 60 = 37.24 km / hr
In a class, there are 20 students whose average age is decreased by two months, when one student aged 18 years is replaced by a new student, find the age of the new student ?
Solution : Age of new student = Age of removed student - Numbers of students * Decrease in average age
= 18 - 20 * ( 2 / 12 ) = 44 / 3 = 14 years 8 monthsRule : If a person travels a distance at a speed of x km/hr, and the same distance at a speed of y km /hr, then the average speed during the whole journey is given by :
Rule : If a person travels three equal distances at a speed of x km / hr, y km / hr and z km / hr respectively. Then the average speed during the whole journey is :
The average of 13 results is 40 and that of first six is 30 and last six is 34. Find the value of 7 th number.
Solution : 7 th number will be = Sum of 13 results - ( Sum of first six + Sum of last six ) = ( 13 * 40 ) - ( 6 * 30 + 6 * 34 ) = 136
The captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older. If the ages of these two are excluded, the average age of the remaining players is one year less than the average age of the whole team. What is the average age of the team?
A. 23 years
B. 24 years
C. 25 years
D. 30 years
Ans: A.Sol.
Let the average age of the whole team be x years.
∴ 11 x - (26 + 29) = 9 (x - 1)
⇔ 11x - 9x = 46
⇔ 2x = 46
⇔ x = 23.
So, average age of the team is 23 years.
Find the average of all the numbers between 6 and 34 which are divisible by 5.
A. 15
B. 18
C. 20
D. 22
Ans: C.Sol.
Average = (10 + 15 + 20 + 25 + 30 / 5) = 100 / 5 = 20.
The average age of husband, wife and their child 3 years ago was 27 years and that of wife and the child 5 years. The present age of the husband is
A. 35 years
B. 40 years
C. 45 years
D. 50 years
Ans: B.Sol.
Sum of the present ages ofH husband, wife and child
= (27 × 3 + 3 × 3)years = 90 years.
Sum of present ages of wife and child = (20 × 2 + 5 × 2) = 50 years.
∴ Husband's present age = (90 - 50)years = 40 years.
After replacing an old member by a new member, it was found that the average age of five numbers of a club is the same as it was 3 years ago. What is the difference between the ages of the replaced and the new member?
A. 2 years
B. 4 years
C. 8 years
D. 15 years
Ans: D.Sol.
Age decrease = (5 × 3) years = 15 years.
So, the required difference = 15 years.