Quantitative Aptitude - Arithmetic Ability Questions

Q:

Calculate the value of (59881 × 59881 - 49681 × 49681)10200?

 

A) 110956 B) 109562
C) 109652 D) 109662
 
Answer & Explanation Answer: B) 109562

Explanation:
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Q:

A room of 5m 44cm long and 3m 74cm broad is to be paved with squre tiles. Find the least number of squre tiles required to cover the floor.

A) 136 B) 146
C) 166 D) 176
 
Answer & Explanation Answer: D) 176

Explanation:

area of the room = 544 x 374 sq.cm

size of largest square tile = H.C.F of 544cm and 374 cm= 34 cm

area of 1 tile = 34x34 sq cm

no. of tiles required = (544 x 374) / (34 x 34) = 176

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Q:

Solve the following :

60 ÷ 5 × 16 - 8 ÷ 2 ÷ 3 = ?

A) 3 B) 48
C) 1 D) 1/3
 
Answer & Explanation Answer: B) 48

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Q:

In a zoo, there are rabbits and pigeons. If heads are counted, there are 340 heads and if legs are counted there are 1060 legs.How many pigeons are there?

A) 120 B) 150
C) 170 D) 180
 
Answer & Explanation Answer: B) 150

Explanation:

Suppose there are all the pigeons then total no of heads are 340 and total no of legs are 680. 

 

Now, since 380 (1060-680) legs are extra, it means there will be 190 (380/2) rabbits.As we know a rabbit has two extra legs than that of a pigeon.

 

Therefore,  number of rabbits =190

 

and number of pigeons = 340- 190 = 150

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Q:

At what time between 5.30 and 6 will the hands of a clock be at right angles?

A) (43 + 5/11) min past 5 B) (43 + 7/11) min pats 5
C) 5 D) 7
 
Answer & Explanation Answer: B) (43 + 7/11) min pats 5

Explanation:

At 5 o'clock, the hands are 25 min. spaces apart.
To be at right angles and that too between 5.30 and 6, the minute hand has to gain (25 + 15) = 40 min. spaces.

 

55 min. spaces are gained in 60 min

 

40 min. spaces are gained in 6055×40 min  

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Q:

If the cost price is 25% of selling price. Then what is the profit percent.

A) 150% B) 200%
C) 300% D) 350%
 
Answer & Explanation Answer: C) 300%

Explanation:

Let the S.P = 100
then C.P. = 25

Profit = 75

Profit% = (75/25) * 100 = 300%

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Q:

If tanα= 2 + 1, then the value of tanα - cotα is

 

A) √2 - 1 B) 2√2
C) 2 D) 1
 
Answer & Explanation Answer: C) 2

Explanation:
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Q:

Find the ratio of the areas of the incircle and circumcircle of a square.

A) 1:1 B) 1:2
C) 1:3 D) 1:4
 
Answer & Explanation Answer: B) 1:2

Explanation:

Let the side of the square be x. Then, its diagonal = 2x2=2x 

Radius of incircle = x2 

Radius of circum circle= 2×x2=x2 

Required ratio = πx24:πx22=14:12=1:2

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