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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

What part of the volume of a cube is the pyramid whose base is the base of then cube and whose vertex is the center of the cube?

A) 4:1 B) 5:1
C) 6:1 D) 7:1
 
Answer & Explanation Answer: C) 6:1

Explanation:

Volume of the cube/volume of pyramid=a313a2×a2

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Filed Under: Volume and Surface Area
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Q:

The mean of 100 observations is 40. It is found that an observation 84 was misread as 48. Then the correct mean is ?

A) 40.36 B) 41.24
C) 41.92 D) 42.05
 
Answer & Explanation Answer: A) 40.36

Explanation:

Given,

mean of 100 observations is 40

=> Total of 100 observations = 40 x 100 = 4000

84 is misread as 48

=> Difference = 84 - 48 = 36

=> Now, new total of 100 observations = 4000 + 36 = 4036

Correct Mean = 4036/100 = 40.36

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Q:

A clock is started at noon. By 10 minutes past 5, the hour hand has turned through

A) 145 B) 155
C) 165 D) 175
 
Answer & Explanation Answer: B) 155

Explanation:

Angle traced by hour hand in 12 hrs = 360º

 

Angle traced by hour hand in 5 hrs 10 min. i.e 316 hrs = 36012×3160 = 1550

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Filed Under: Clocks
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Q:

In the following question, four number pairs are given. The number on left side of (–) is related to the number on the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the

 

A) 13 – 14 B) 15 – 16
C)  24 – 25 D) 19 – 21
 
Answer & Explanation Answer: D) 19 – 21

Explanation:
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Filed Under: Odd Man Out
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Q:

A wheelchair slalom event, athletes weave around cones and race to the finish line. A diagram of the rectangular course 30m length &16m bredth is shown. Find the the area of the course

A) 480 B) 560
C) 180 D) 460
 
Answer & Explanation Answer: A) 480

Explanation:

A = lw

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Q:

If 4 circles of equal radius are drawn with vertices of a square as the centre , the side of the square being 7 cm, find the area of the circles outside the square ?

A) 119.21 sq cm B) 115.395 sq cm
C) 104.214 sq cm D) 111.241 sq cm
 
Answer & Explanation Answer: B) 115.395 sq cm

Explanation:

Because each vertice of the square is the center of a circle
(1/4) part of the total area of each circle inside of the square.
(3/4) part of the total area of each circle outside of the square.
Thus total area outside the square is 434×227×3.5×3.5 = 115.3955 sq cm.

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Q:

The ratio of present ages of Sheetal and Divya is 6 : 5. After 8 years, their ages will be in the ratio of 22 : 19. What is the present age (in years) of Divya?

 

A) 22     B)  38    
C)  34     D) 30
 
Answer & Explanation Answer: D) 30

Explanation:
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Filed Under: Problems on Ages
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Q:

The price of an item is decreased by 25%. What percent increase must be done in new price to get the original price?

A) 33.33% B) 43.3%
C) 50% D) 55.3%
 
Answer & Explanation Answer: A) 33.33%

Explanation:

Let the price of an item be 100After 25% decrease, price of item = 75Increase in price to get the original price = 100-75 = 25% increase to get the original price = 25/75 X 100 = 100/3 = 33.33%

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Filed Under: Percentage
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