Graduate Trainee Quantitative Ability Access Bank Job

Graduate Trainee Quantitative Ability Access Bank Job
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Question 1

Dan had an average of 72 on his first four math tests. After taking the next test, his average dropped to 70. Which of the following is his most recent test grade?
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The average of the first four tests = 72
Total marks for four tests = 4 Ɨ 72 = 288
After the fifth test, average = 70
Total marks for five tests = 5 Ɨ 70 = 350
Score on the fifth test = 350 āˆ’ 288 = 62
Hence, his most recent test grade is 62.
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Question 2

What is the average of the first 15 positive integers?
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The first 15 positive integers are 1 to 15.
Average = \( \dfrac{1 + 15}{2} = 8 \).
Hence, the average is 8.
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Question 3

David had d dollars. After a shopping trip, he returned with c cents. How many cents did he spend?
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David had \( d \) dollars = \( 100d \) cents.
He returned with \( c \) cents.
Amount spent = \( 100d āˆ’ c \) cents.
Therefore, the correct expression is \( 100d āˆ’ c \).
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Question 4

A certain copy machine produces 13 copies every 10 seconds. If the machine operates without interruption, how many copies will it produce in an hour?
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Copies in 10 seconds = 13
Copies per second = \( \dfrac{13}{10} = 1.3 \)
Copies in 1 hour = \( 1.3 Ɨ 3600 = 4680 \)
Hence, the machine produces 4680 copies in one hour.
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Question 5

A suit marked at \$80 is sold for \$68. What is the rate of discount?
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Discount = \$80 āˆ’ \$68 = \$12
Rate of discount = \( \dfrac{12}{80} Ɨ 100 = 15\% \)
Hence, the rate of discount is 15%.
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Question 6

What was the original price of a radio that sold for $70 during a 20%-off sale?
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Let the original price be \( x \).
20% off means the selling price is 80% of \( x \).
\( 0.8x = 70 \Rightarrow x = \dfrac{70}{0.8} = 87.5 \)
Hence, the original price was $87.50.
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Question 7

What is 40% of 16?
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40% of 16 = \( \dfrac{40}{100} Ɨ 16 = 6.4 \)
Hence, 40% of 16 is 6.4.
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Question 8

What is the number of triangles in an octagon?
Show explanation Expand Question
The number of triangles that can be formed by joining non-adjacent vertices of an \( n \)-sided polygon is given by \( n(nāˆ’3)/2 \).
For an octagon (\( n = 8 \)):
\( 8(8āˆ’3)/2 = 8 Ɨ 5 / 2 = 20 \).
However, the total number of triangles that can be formed using any 3 vertices is \( ^8C_3 = 56 \).
Hence, the number of triangles in an octagon is 56.
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Question 9

The average of 5 quantities is 6. The average of 3 of them is 8. What is the average of the remaining two numbers?
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Sum of 5 quantities = \( 5 Ɨ 6 = 30 \)
Sum of 3 quantities = \( 3 Ɨ 8 = 24 \)
Sum of remaining two = \( 30 āˆ’ 24 = 6 \)
Average of remaining two = \( \dfrac{6}{2} = 3 \)
Hence, the average of the remaining two numbers is 3.
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Question 10

The price of a product is reduced by 30%. By what percentage should it be increased to make it 100%?
Show explanation Expand Question
Let the original price be 100.
After a 30% reduction, new price = 70.
Required percentage increase to return to 100%:
\( \dfrac{100āˆ’70}{70} Ɨ 100 = 42.857\% \)
Hence, it should be increased by 42.857%.
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