Graduate Trainee Quantitative Ability Access Bank Job

Graduate Trainee Quantitative Ability Access Bank Job
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Question 11

If you take 29 oranges from 60 oranges, how many oranges will you have?
Show explanation Expand Question
The question asks how many oranges *you have*, not how many remain.
If you take 29 oranges, then you have 29 oranges in your possession.
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Question 12

If a class begins at 2:21pm and ends at 4:36pm the same afternoon, how many minutes long is the class?
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From 2:21pm to 4:21pm is 2 hours = 120 minutes.
From 4:21pm to 4:36pm is 15 minutes.
Total duration = 120 + 15 = 135 minutes.
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Question 13

If two typists can type two pages in two minutes, how many typists will it take to type 18 pages in six minutes?
Show explanation Expand Question
Two typists type 2 pages in 2 minutes ⟹ 1 typist types 1 page in 2 minutes.
Thus, 1 typist types \(\dfrac{6}{2} = 3\) pages in 6 minutes.
To type 18 pages, number of typists = \(\dfrac{18}{3} = 6\).
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Question 14

The enrollments at College X and College Y both grew by 8 percent from 1980 to 1985. If the enrollment at College X grew by 800 and the enrollment at College Y grew by 840, the enrollment at College Y was how much greater than the enrollment at College X in 1985?
Show explanation Expand Question
Growth for College X = 8% of X = 800 ⟹ X = 10000.
Growth for College Y = 8% of Y = 840 ⟹ Y = 10500.
Difference = 10500 − 10000 = 500.
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Question 15

A box is filled with cookies ranging in weight from 3.2 grams to 3.8 grams. How many cookies are in the box?
(1) The gross weight of the box and the cookies is 130 grams.
(2) The net weight of the cookies is 112 grams.
Show explanation Expand Question
Statement 1 gives only total + box weight, insufficient.
Statement 2 gives only total cookie weight, but not individual cookie weight or box weight.
Both statements together still do not provide the average weight of each cookie. Therefore, not enough facts are given.
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Question 16

What is 200% of 0.010?
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\(200\% = \dfrac{200}{100} = 2\).
\(2 \times 0.010 = 0.020\).
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Question 17

If \(\dfrac{3}{p} = 6\) and \(\dfrac{3}{q} = 15\) then \(p - q = ?\)
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From \(\dfrac{3}{p} = 6\), we get \(p = \dfrac{3}{6} = 0.5\).
From \(\dfrac{3}{q} = 15\), we get \(q = \dfrac{3}{15} = 0.2\).
\(p - q = 0.5 - 0.2 = 0.3 = \dfrac{3}{10}\).
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Question 18

Which of the following is the greatest?
Show explanation Expand Question
A: 40% of 30 = 12.
B: \(\dfrac{3}{5} \times 25 = 15\).
C: 6.5% of 200 = 13.
D: Five more than \(3^2 = 9\) → 9 + 5 = 14.
Greatest = 15.
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Question 19

If the value of XYZ Company stock drops from \$25 per share to \$21 per share, what is the percent of the decrease?
Show explanation Expand Question
Decrease = \$25 − \$21 = \$4.
Percentage decrease = \(\dfrac{4}{25} \times 100 = 16\%\).
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Question 20

What is the greatest value of a positive integer n such that 3n is a factor of 1815?
Show explanation Expand Question
Prime factorisation: \(1815 = 3 \times 5 \times 11 \times 11 = 3^1 \times 5^1 \times 11^2\).
Let n = 11 which is the greates of the factors of 1815. 
Then 3n = 3 * 11 = 33.
1815 / 33 = 55.
Thus 33 is also a factor.
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