Quantitative Aptitude - Arithmetic Ability Questions

Q:

A showroom on its anniversary gives a discount of 18% on marked price of bikes. Raghuram purchases a bike in Rs. 54,540. What is the marked price of bike?

A) Rs. 63548 B) Rs. 66512
C) Rs. 65000 D) Rs. 67857
 
Answer & Explanation Answer: B) Rs. 66512

Explanation:

The discount offered by showroom = 18%

Raghu purchased at Rs. 54540

Then,

The marked price is given by 

54540 x 100/82

=~ Rs. 66,512

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

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Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10 B) 20
C) 40 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

Given a principal of $12,000 with a compound amount of $17,631.94 and interest rate of 8% compounded anually,what is the time peroid in years?

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

Explanation:

M=P(1+i)^n

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Q:

Solve this inequality 3p - 16 < 20?

A) p >= 12 B) p <= 11/3
C) p < 12 D) p > 11/3
 
Answer & Explanation Answer: C) p < 12

Explanation:

The given inequality is 3p - 16 < 20

For solving this inequality, follow these steps

Now add 16 on both sides

we get 3p - 16 + 16 < 20 + 16

=> 3p  < 36

Now divide the above eqn with 3 on both sides

we get, 3p/3 < 36/3

p < 12.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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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:

A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the vertical faces. A right circular once is inside the cylinder. Their heights are same and the diameter of the cone is equal to that of the cylinder.

What is the ratio of the volume of the sphere to that of cone?

A) 6√3:1 B) 7 : 2
C) 3√3:1   D) 5√3:1
 
Answer & Explanation Answer: A) 6√3:1

Explanation:
The top view of the given assembly will look like the figure above
Outermost is the sphere. Inside that there is a cube and within that there is a cone and cylinder with same radius.
Here side of cube = a
Diameter of Sphere = body diagnol = √3 a
Radius of sphere = √3 a/2 =r1
Height of Cylinder = Height of cone = side of cube = a =h
Radius of cylinder = Radius of cone = side of cube/2 = a/2 =r2(as shown in the figure)
Volume of sphere/volume of cone = 43πr1313πr22h = 6√3:1
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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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:

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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