Quantitative Aptitude - Arithmetic Ability Questions

Q:

If a + b + c = 7/12, 3a – 4b + 5c = 3/4 and 7a – 11b – 13c = – 7/12, then what is the value of a + c?

A) 1/2 B) 5/12
C) 3/4 D) 1/4
 
Answer & Explanation Answer: B) 5/12

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?

A) 45 B) 55
C) 65 D) 75
 
Answer & Explanation Answer: D) 75

Explanation:

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,(x/y)*100 = p%

p% = 3z/100/4z/100×100= 75%

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Filed Under: Percentage
Exam Prep: Bank Exams

3 2832
Q:

8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

A) 10 ltr B) 20 ltr
C) 30 ltr D) 40 ltr
 
Answer & Explanation Answer: B) 20 ltr

Explanation:

Let initial quantity be Q, and final quantity be F

F = Q(1 - 8/Q)4

=> Q = 20

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Filed Under: Alligation or Mixture

5 2831
Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 2830
Q:

X and Y together can do a piece of work in 30 days. Y and Z together can do the work in 20 days. X starts the work and works for 15 days then Y takes that work and works for 27 days. Finally Z finishes the remaining work in 9 days. In how many days Y alone can complete the entire work?

 

A) 60 B) 45
C) 50 D) 65
 
Answer & Explanation Answer: A) 60

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

3 2828
Q:

The average age of Ram and Rahim is 18 years. The average age of Rahim and Ramesh is 25 years. The average age of Ram and Ramesh is 29 years. What is the age (in years) of the eldest of the three?

A) 14 B) 22
C) 28 D) 36
 
Answer & Explanation Answer: D) 36

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

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Q:

The bankers discount on Rs 1800 at 12 % per annum is equal to the true discount on Rs 1872 for the same time at the same rate .Find the time.

A) 4 months B) 5 months
C) 6 months D) 3 months
 
Answer & Explanation Answer: A) 4 months

Explanation:

S.I on Rs 1800 = T.D on Rs 1872

P.W of Rs 1872 is Rs 1800

Rs 72 is S.I on Rs 1800 at 12%

Time = (100 * 72)/(12 * 1800)

= 1/3 years = 4 months

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Filed Under: Banker's Discount

0 2827
Q:

A sum of Rs. 2600 is lent out into two parts, one at 9% and another at 7% if the total annual income is Rs. 206, find the money lent at 7%.

A) Rs. 1400 B) Rs. 900
C) Rs. 1600 D) Rs. 1200
 
Answer & Explanation Answer: A) Rs. 1400

Explanation:

Money lent at 9% = x
Money lent at 7% = (2600 – x)
⇒ 9x/100 + (2600 – x) X 7 /100 = 206
⇒ 9x + 18200 – 7x = 20600
⇒ 2x = 2400
⇒ x = 1200
Money lent at 7% = 2600-1200 = 1400

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Filed Under: Percentage
Exam Prep: Bank Exams

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