Quantitative Aptitude - Arithmetic Ability Questions

Q:

Odd man out of the series - 15, 19, 27, 38, 55, 75?

A) 27 B) 38
C) 55 D) 75
 
Answer & Explanation Answer: B) 38

Explanation:

The given series is 15, 19, 27, 38, 55, 75

15

15 + 4 = 19

19 + 8 = 27

27 + 12 = 39

39 + 16 = 55

55 + 20 = 75

 

Hence, the odd number in the given series is 38.

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Filed Under: Odd Man Out
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Q:

36 of what number is 18?

A) 38 B) 42
C) 50 D) 62
 
Answer & Explanation Answer: C) 50

Explanation:

Let the required number be 'p'

36 of what number is 18 implies 36% of p = 18

=> 36 x p/100 = 18

=> p = 1800/36

=> p = 50.

 

Hence, 36% of 50 is 18.

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Filed Under: Percentage
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Q:

In a rectangle, length is three times its breadth. If the length and the breadth of the rectangle are increased by 30% and 100% respectively, then its perimeter increases by

A) 40/3% B) 20%
C) 25% D) 27%
 
Answer & Explanation Answer: C) 25%

Explanation:
Let the breadth of the rectangle = x
Length of the the rectangle will be = 3 times of breadth = 3x
So the initial perimeter = 2(length + breadth) = 2(x + 3x) = 8x
New breadth after increase = x + 10x/100 = 1.1x
New length after increase = 3x + 30*3x/100 = 3.9x
New perimeter = 2(1.1x + 3.9x) = 10x
Percentage change in perimeter = ( 10x-8x)*100/8x = 25%
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Filed Under: Area
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10 4185
Q:

Ali and Faizer are 27m apart. They both start walking and meet 9 hrs later, if they travel in the same direction and meet after 3 hrs if they walk in opposite dirction, Ali’s speed must most likely be ?

A) 9 m/h B) 3 m/h
C) 6 m/h D) 12 m/h
 
Answer & Explanation Answer: C) 6 m/h

Explanation:

let, speed of Ali=X mph and Faizer=Y mph

Now, relative speed when Ali is walking int the same direction with Faizer= (X-Y)mph
hence, according to question, 27/(X-Y)=9 ; solving X-Y=3; --- (1)

Now relative speed when walking in the opposite direction= (X+Y) mph
hence, according to question, 27/(X+y)=3; solving X+Y=9; --- (2)

solving 1 and 2 we get X=6 and Y=3, where X is the speed of Ali.

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Filed Under: Time and Distance
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3 4183
Q:

Two trains running in opposite directions cross a pole placed on the platform in 47 seconds and 31 seconds respectively. If they cross each other in 33 seconds, what is the ratio of their speeds?

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

Explanation:

Let the speed of the trains be x and y respectively
length of train1 = 47x
length of train2 = 31y
Relative speed= x + y
Time taken to cross each other = 33 s
=> 47x+31yx+y= 33
=> (47x + 31 y) = 33(x + y)
=> 14x = 2y
=> x/y = 2/14 = 1/7

 = 1:7

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Filed Under: Time and Distance
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4 4182
Q:

A farmer buys a goat and a sheep for Rs 3500. He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?

A) 2000 B) 1500
C) 1750 D) 2250
 
Answer & Explanation Answer: B) 1500

Explanation:
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Filed Under: Profit and Loss
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Q:

Walking at a speed of 10 km/hr, Madhu reaches her university 15 minutes late. Next time she increases her speed by 2 km/hr, but she is still late by 5 minutes. The distance of the university from her house is:

A) 15 km B) 30 km
C) 20 km D) 10 km
 
Answer & Explanation Answer: D) 10 km

Explanation:
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12 4178
Q:

The cost price of a college bag is 240% more than the profit obtained on it selling at Rs. 1540. What is the cost price of that college bag?

A) Rs. 1190 B) Rs. 1288
C) Rs. 1365 D) Rs. 1452
 
Answer & Explanation Answer: A) Rs. 1190

Explanation:

Let the profit be Rs. p

Then Cost price of the bag = 340p/100 = 3.4p

According to question,

3.4p + p = 1540

4.4p = 1540

p = 1540/4.4

p = 350

The profit p = Rs, 350

 

Hence, The cost price of the bag = 3.4p = 3.4 x 350 = Rs. 1190.

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Filed Under: Profit and Loss
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