Quantitative Aptitude - Arithmetic Ability Questions

Q:

In what ratio sugar at Rs 30/kg should be mixed with sugar at Rs 45/kg so that on selling the mixture at Rs 42/kg there is a profit of 20%?

A) 2 : 1 B) 2 : 3
C) 5 : 2 D) 3 : 7
 
Answer & Explanation Answer: A) 2 : 1

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Filed Under: Profit and Loss
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Q:

A trader had 6 quintals of wheat. He sold a part of it at 7% profit and the rest at 17% profit, so that he made a total profit of 11%. How much wheat did he sell at 17% profit?

A) 360 kg B) 240 kg
C) 120 kg D) 480 kg
 
Answer & Explanation Answer: B) 240 kg

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Q:

What is the value of 20% of 500% of 50?

A) 0.5 B) 5000
C) 500 D) 50
 
Answer & Explanation Answer: D) 50

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Filed Under: Percentage
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Q:

Area of 4 walls of a cuboid is 57 sq m, if its length is 5.5 m and height is 3 m. What is its breadth (in m)?

A) 4.5 B) 4
C) 3 D) 3.5
 
Answer & Explanation Answer: B) 4

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Filed Under: Area
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Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km B) 10.5 km
C) 12.5 km D) 15 km
 
Answer & Explanation Answer: C) 12.5 km

Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
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Filed Under: Height and Distance
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Q:

A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?

 

A) 9 square feet B) 15 square feet
C) 17 square feet D) 18 square feet
 
Answer & Explanation Answer: C) 17 square feet

Explanation:
Initially carpet is 6×12 = 72 sq feet
Since red border is 6 inches wide from all 4 side
So area without border = 5× 11 = 55 sq feet
Area of border = total–area without border = 72–55 = 17 sq feet
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Filed Under: Volume and Surface Area
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Q:

The mean height of 25 boys in a class is 150 cm, and the mean height of 35 girls in the same class is 145 cm. The combined mean height of 60 students in the class is ___ (app)

A) 146 B) 143
C) 147 D) 145
 
Answer & Explanation Answer: C) 147

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Filed Under: Average
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Q:

A student multiplied a number by 4/7 instead of 7/4. What is the percentage error in the calculation?

A) 206.25 percent B) 67.35 percent
C) 33.67 percent D) 103.13 percent
 
Answer & Explanation Answer: B) 67.35 percent

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