In an election, candidate X got 70% of the overall valid votes. If 20% of the overall votes were declared invalid and the total numbers of votes is 64000, then find the number of valid votes polled in favour of the candidate.
(A) 35840
(B) 45000
(C) 40000
(D) 35800
Solution:
Total vote = 100 Valid vote = 100 - 20 = 80 X = 70% of 80 = 56 100 unit → 64000 1 unit → 640 56 unit → 56 × 640 = 35840
102.
In a school, there are 100 students. 60% of the students are boys, 40% of whom play hockey and the girls don't play hockey, 75% of girls play badminton. There are only two games to be played. The number of student who don't play any game is:
(A) 10%
(B) 20%
(C) 36%
(D) 46%
Solution:
Answer & Solution Answer: Option E Solution: Total student = 100 Boys = 60 Girls = 40 Boys who plays hockey = 40% = 24 There is no information about boys who play badminton. Girls who plays Badminton = 75% = 30 No girls plays hockey. Since, we do not have information that whether the rest of the boys are playing badminton or not. So, we cannot determine the total no. of student who don't play any game.
103.
The price of diesel is increased by 26%. A person wants to increase his expenditure by 15% only. By what percentage, correct to one decimal place, should he decrease his consumption?
(A) 7.2%
(B) 6.5%
(C) 8.7%
(D) 9.5%
Solution:
Given: Percentage increase in the price of diesel = 26% Percentage increase in total expenditure = 15% Concept used: P × C = E Where P is Price, C is Consumption and E is Expenditure Calculation: Let initial price be P1, consumption be C1, and expenditure be E1 P1 × C1 = E1 ⇒ Let new price be P2, new quantity consumed be C2, and new expenditure be E2 P2 = P1 + 26% of P1 ⇒ P2 = 1.26P1 E2 = E1 + 15% of E1 ⇒ E2= 1.15E1 As, P2 × C2 = E2 ⇒ 1.26P1 × C2 = 1.15E1 ⇒ C2 = ⇒ C2 = 0.9126 × ⇒ C2 = 0.9126C1 Decrease in consumption = C1 - C2 ⇒ Decrease in consumption = C1 - 0.9126C1 = 0.0874C1 Percentage decrease in consumption = ⇒ Percentage decrease in consumption = ∴ The percentage decrease in consumption is 8.7% (correct to 1 decimal place)
104.
What percentage of numbers from 1 to 70 have 1 or 9 in the unit's digit?
(A) 1%
(B) 14%
(C) 20%
(D) 21%
Solution:
Clearly, the numbers which have 1 or 9 in the unit's digit, have squares that end in the digit 1. Such numbers from 1 to 70 are 1, 9, 11, 19, 21, 29, 31, 39, 41, 49, 51, 59, 61, 69. Number of such number = 14
105.
Distance between A and B is 72 km. Two men started walking from A and B at the same time towards each other. The person who started from A traveled uniformly with average speed of 4 km/hr. The other man traveled with varying speed as follows: In the first hour his speed 2 km/hr, in the second hour it was 2.5 km/hr, in the third hour it was 3 km/hr, and so on. When / where will they meet each other?
(A) 7 hours after starting
(B) 10 hours after starting
(C) 35 km from A
(D) Mid-way between A and B
Solution:
They covered the distance in this way together in different hours 6 + 6.5 + 7 + 7.5 + 8 + 8.5 + 9 + 9.5 + 10 = 72 Means,they'll meet at the 9th hr. So, In that time A will cover = 4 × 9 = 36kmThey will meet in Midway
106.
23% of 8040 + 42% of 545 = ? % of 3000
(A) 56.17
(B) 63.54
(C) 69.27
(D) 71.04
Solution:
Let 23% of 8040 + 42% of 545 = x% of 3000 Then, =
107.
What is to be added to 15% of 180 so that the sum is equal to 20% of 360?
(A) 45
(B) 40
(C) 60
(D) 50
Solution:
108.
The population of a town increases every year by 4%. If its present population is 50,000, then after 2 years it will be
(A) 53,900
(B) 54,000
(C) 54,080
(D) 54,900
Solution:
Here we can use the compound interest based formula, Population after 2 years = 54080 Alternatively, we can use, net percentage change graphic as well, 50,000------4%↑---→ 52,000---- 4%↑---→ 54,080. Then, population after 2 years= 54,080. In this calculation, we need to find 1% of 50,000 first, which is easily calculated by dividing 50,000 by 100.
109.
If the numerator of a fraction is increased by 60% and the denominator is increased by 40%, then resultant fraction is ÃÂÃÂ The original fraction is:
(A)
(B)
(C)
(D)
Solution:
110.
If the duty on an article is reduced by 40% of his present rate by how much percent must its consumption increase in order that the revenue remains unaltered ?