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HSBC Percentages Questions and Answers Quiz-1

Question 1

Time: 00:00:00

Two friends, Akash & Beenu had some candies each. One of them had 15 candies more than the other. The candies with Akash was 60% of the total candies with them. How many candies did each have?

40, 25

47, 32

45, 30

49, 34

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Explanation Let the candies with be (x + 15) and x.
Therefore, x + 15 = 60/100(x + 15 + x)
(x + 15) = 3/5(2x + 15)
5x + 75 = 6x + 45
x = 30
So, the marks of two students are 45 and 30.

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Question 2

Time: 00:00:00

A fruit seller had some oranges. He sells 30% oranges and still has 140 mangoes. Originally, he had:

288 oranges

300 oranges

672 oranges

200 oranges

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Explanation: Suppose originally he had x oranges.
Then, (100 - 30)% of x = 140.
70/100 x = 140
x = (140 x 100)/70 = 200.

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Question 3

Time: 00:00:00

What percentage of numbers from 1 to 30 has 1 or 9 in the unit's digit?

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Explanation: Such numbers from 1 to 30 are 1, 9, 11, 19, 21, 29
Number of such numbers =6
Required percentage is (6/20 * 100) % = 20%

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Question 4

Time: 00:00:00

If M = y% of z and B = z% of y, then which of the following must be true?

M is lesser than N.

M is more than N

Relation between M and N cannot be determined.

None of these

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Explanation: y% of z = (y/100 x z) = (z/100 x y) = z% of y
A = B.

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Question 5

Time: 00:00:00

In ABC College, 63% of students are less than 20 years of age. The number of students more than 20 years of age is 2/3 of number of students of 20 years of age which is 42. What is the total number of students in the ABC College?

130

189

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Explanation: Let the total number of students be x.
Then, Number of students more than 20 years of age = (100 - 63)% of x = 37% of x.
37% of x = 42 + 2/3 of 42
37/100x = 70
x = 189.19 or 189

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Question 6

Time: 00:00:00

A student erroneously multiplied a number by 2/5 instead of 5/2.What is the percentage error in the calculation?

24%

54%

74%

84%

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Explanation: Let the number be 100. 2/5 of 100 is 40 while 5/2 of 100 is 250.
Now the difference is 210 on a base of 250. Therefore, percentage difference is 210/250 into 100 = 84%.

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Question 7

Time: 00:00:00

The sum of the first six terms of an AP is 48 and the common difference is 2. What is the 4th term?

2400

2700

3200

2100

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Explanation: Number of valid votes = 75% of 8000 = 1/4 or 5/20
Valid votes polled by other candidate = 6/20 of 8000
= (6/20 * 8000) = 2400.

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Question 8

Time: 00:00:00

Three candidates, Ajay, Bijoy & Chandu contested an election and received 1800, 3300 and votes 3900 respectively. What percent of the total votes did A get?

20%

40%

45%

70%

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Explanation: Total no. of votes polled = (1800 + 3300 + 3900) = 9000.
Required percentage = (1800/9000 * 100)% = 20%.

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Question 9

Time: 00:00:00

A Stationery seller had some Pens, Sharpeners, Erasers & Pencils. He sells 65% of the total units and still has 175 units. Originally, he had :

588 units

400 units

272 units

500 units

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Explanation: Suppose originally he had x units.
Then, (100 - 65)% of x = 175.
35/100 x = 175
x = 500

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Question 10

Time: 00:00:00

The total population of a village increased from 1,80,00 to 22, 500 in a decade. The average percentage increase of population per year of that village is:

2.37%

2.5%

3. 6%

6.75%

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Explanation: Population increase in 10 years = (22500- 18000) = 4500.
Increase% = (4500/18000 x 100)% = 25%
Required average = (25/10)% = 2. 5%

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