Quantitative Aptitude - Arithmetic Ability Questions

Q:

The ratio of present ages of Simi and Seema is 5 : 4. After 9 years the ratio of their ages will be 8 : 7. What is Simi's present age (in years)?

A) 12 B) 15
C) 24 D) 21
 
Answer & Explanation Answer: B) 15

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

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Q:

A container contains 165 litres of milk. Some quantity of milk is taken out and half of that quantity of milk, water is added in the container. Now ratio of milk to water in the container becomes 5:3. What is the quantity of water added in it?

A) 40 litre B) 45 litre
C) 60 litre D) 30 litre
 
Answer & Explanation Answer: B) 45 litre

Explanation:

Let amount of milk removed = 2x litre
So, amount of water added = x litre
Now → (165 − 2x)/x = 5/3
x = 45 lit

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Q:

If 5th September 2008 was a Monday, what day of the week was 9th October 2008?

A) Saturday B) Friday
C) Sunday D) Monday
 
Answer & Explanation Answer: C) Sunday

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Filed Under: Calendar
Exam Prep: Bank Exams

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Q:

A bus travels 2/5 of a total journey at its usual speed. The remaining distance was covered by bus at 6/7 of its usual speed. Due to slow speed it reaches its destination 50 minutes late. If the total distance is 200 kms, then what is the usual speed (in km/hr) of bus?

A) 20.57 B) 24
C) 28 D) 26.52
 
Answer & Explanation Answer: B) 24

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

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Q:

If x varies as y and x = 8 when y = 15 then the value of x when y = 10 is:

A) 5 B) 15/8
C) 8/15 D) 16/3
 
Answer & Explanation Answer: D) 16/3

Explanation:

x : y = 8 : 15
If y = 10, x = 8/15 X 10
y = 16/3

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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If a > b > 0, AB = a - b cm, BC = 2√ab cm, then ∠ABC is

A)  45° B)  60
C)  90° D)  120°
 
Answer & Explanation Answer: C)  90°

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Q:

A wholesaler sells a watch to a retailer at a gain of 32% and the retailer sells it to a customer at a loss of 20%. If the customer pays Rs 1,953.6, what had it cost the wholesaler?

A) Rs 2063 B) Rs 2394
C) Rs 1850 D) Rs 1637
 
Answer & Explanation Answer: C) Rs 1850

Explanation:
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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

If length of a rectangle is decreased by 6 cm we get a square and the area of square formed is 252 cm2 less than the area of square formed when breadth of the original rectangle is increased by 6 cm. Find the perimeter of the rectangle.

A) 66 cm B) 88 cm
C) 80 cm D) 72 cm
 
Answer & Explanation Answer:

Explanation:

Let length and breadth of rectangle be L cm
and B cm respectively So, ATQ
Area1= (L-6)×B
But this is square, so L-6=B
Area1= (L-6) × (L-6)
Case 2, Area2= L × (B+6),
L=B+6
So, Area2= L × L,
Given, Area2-Area1= 252(L)2-(L-6)2=252
Solving this, L= 24
B= 18
Perimeter= 2(L+B)= 2(24+18)= 84 cm

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