Quantitative Aptitude - Arithmetic Ability Questions

Q:

In an election between two candidates K and L, the number of valid votes received by K exceeds those received by L by 15% of the total number of votes polled. If 20% of the votes polled were invalid and a total of 8720 votes were polled, then how many valid votes did L get ?

A) 3241 B) 2457
C) 2642 D) 2834
 
Answer & Explanation Answer: D) 2834

Explanation:

Let the total number of votes polled in the election be 100k.
Number of valid votes = 100k - 20% (100k) = 80k
Let the number of votes polled in favour of K and L be a and b respectively.
a - b = 15% (100k) => a = b + 15k
=> a + b = b + 15k + b
Now, 2b + 15k = 80k and hence b = 32.5k
It is given that 100k = 8720
32.5k = 32.5k/100k x 8720 = 2834

The number of valid votes polled in favour of L is 2834.

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Q:

The ratio between the length and breadth of a rectangular field is 5 : 4 if the breadth is 20m less than the length, the perimeter of the field is :

A) 260m B) 280m
C) 360m D) none of these
 
Answer & Explanation Answer:

Explanation:
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36 8850
Q:

The area of a rectangle is 80 cm.If its length is 16 cm, what is its width?

A) 5cm B) 10cm
C) 15cm D) 20cm
 
Answer & Explanation Answer: A) 5cm

Explanation:

A=LB

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9 8849
Q:

What was the day on 9th May,2001?

A) Wednesday B) Saturday
C) Thursday D) Tuesday
 
Answer & Explanation Answer: A) Wednesday

Explanation:

9th May, 2001 = (2000 years + Period from 1.1.2001 to 9.5.2001)

Odd days in 1600 years = 0

Odd days in 400 years = 0

Jan. Feb. March April May 

(31 + 28 + 31 + 30 + 9) = 129 days

129 days = (18 weeks + 3 day)= 3 odd day.

Total number of odd days = (0 + 0 + 3 ) = 3 odd day.

Given day is Wednesday.

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13 8848
Q:

138.009 + 341.981 - 146.305 = 123.6 + ?

A) 120.o85 B) 199.57
C) 295.05 D) None of these
 
Answer & Explanation Answer: D) None of these

Explanation:

Let 138.009 + 341.981 - 146.305 = 123.6 + z

Then, z = (138.09+341.981) - (146.305+123.6)= 479.99 - 269.905 = 210.085

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7 8841
Q:

A rectangular grassy plot 120 m. by 60 m has a gravel path 1.5 m wide all round it on the inside. Find the cost of gravelling the path at 65 paise per sq. metre ?

A) Rs. 345.15 B) Rs. 245.1
C) Rs. 234.18 D) Rs. 456.65
 
Answer & Explanation Answer: A) Rs. 345.15

Explanation:

area of the plot = 120m x 60m = 7200 sq.m
area of plot excluding gravel = 117m x 57m = 6669 sq.m
area of gravel = 7200 sq.m - 6669 sq.m = 531 sq.m
cost of building it = 531 sq.m x 65 ps = 34515 ps
In Rs. = 34515/100 = Rs. 345.15.

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Q:

A room is 15 feet long and 12 feet broad. A mat has to be placed on the floor of the room leaving 1.5 feet space from the walls. What will be the cost of the mat at the rate of Rs. 3.50 per squire feet?

A) 378 B) 472.5
C) 496 D) 630
 
Answer & Explanation Answer: A) 378

Explanation:

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Q:

How many square units in 13 by 9?

A) 13 B) 9
C) 117 D) 13/9
 
Answer & Explanation Answer: C) 117

Explanation:

Number of square units in 13 by 9 is given by the area it forms with length and breadth as 13 & 9

Area = 13 x 9 = 117

 

Hence, number of square units in 13 by 9 is 117 sq.units.

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15 8832