Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two circles touch each other at point X. A common tangent touch them at two distinct points Y and Z. If another tangent passing through X cut YZ at A and XA= 16 cm, then what is the value (in cm) of YZ?

A) 18 B) 24
C) 16 D) 32
 
Answer & Explanation Answer: D) 32

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Filed Under: Area
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Q:

The ratio of the amount of work done by (x-1) labours in (x+1) days and that done by (x+1) labours in (x+2) days is 5 : 6. Then the value of x is

A) 16 B) 15
C) 17 D) 14
 
Answer & Explanation Answer: A) 16

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Filed Under: Ratios and Proportions
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Q:

Average of the height of 251 students of a school is 48. If the average of the height of the boys is 51 and the average of the height of the girls is 29, then what will be the ratio of the total height of boys and the total height of girls respectively?

 

A) 323 : 29 B) 31 : 441
C) 29 : 323 D) 441 : 23
 
Answer & Explanation Answer: A) 323 : 29

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Filed Under: Ratios and Proportions
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Q:

sinA/(1 + cos A) is equal to

A) (cosecA -­ cotA) B) (cosecA + cotA)
C) √[(cosecA ­- cotA)] D) √[(cosecA + cotA)]
 
Answer & Explanation Answer: A) (cosecA -­ cotA)

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Filed Under: Simplification
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Q:

A batsman has a certain average of runs for 12 innings. In the 13th inning he scores 96 runs thereby increasing his average by 5 runs. What will be his average after 13th inning?

A) 28 B) 32
C) 36 D) 42
 
Answer & Explanation Answer: C) 36

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Filed Under: Average
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Q:

D, E, F are the mid - points of the sides BC , CA and AB respectively of a ΔABC . Then the ratio of the areas of ΔDEF and ΔABC is

A) 1/2 B) 1/4
C) 1/8 D) 1/16
 
Answer & Explanation Answer: B) 1/4

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Filed Under: Volume and Surface Area
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Q:

In the following question, select the odd word from the given alternatives.

A) Mobile B) Computer
C) Fountain Pen D) Television
 
Answer & Explanation Answer: C) Fountain Pen

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Filed Under: Odd Man Out
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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 of 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 given alternatives.

A) 9 – 81 B) 8 – 64
C) 6 – 36 D) 7 – 47
 
Answer & Explanation Answer: D) 7 – 47

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Filed Under: Odd Man Out
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