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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A boat goes 4 km upstream and 4 km downstream in 1 hour. The same boat goes 5 km downstream and 3 km upstream in 55 minutes. What is the speed (in km/hr) of oat in still water?

A) 6.5 B) 7.75
C) 9 D) 10.5
 
Answer & Explanation Answer: C) 9

Explanation:
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Filed Under: Boats and Streams
Exam Prep: Bank Exams

14 3796
Q:

A 6% stock yields 8%. The market value of the stock is:

A) 70 B) 76
C) 75 D) 80
 
Answer & Explanation Answer: C) 75

Explanation:

For an income of Rs. 8, investment = Rs. 100.

 

For an income of Rs. 6, investment = Rs.1008*6= Rs. 75.

 

Market value of Rs. 100 stock = Rs. 75.

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Filed Under: Stocks and Shares

1 3795
Q:

∆XYZ is right angled at Y. If m∠Z = 60°, then find the value of (cotX - 1/3).

A) (3√3-1)/3 B) (2√3-√6)/2√2
C) -5/3 D) (2-√3)/2√3
 
Answer & Explanation Answer: A) (3√3-1)/3

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 3788
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
Exam Prep: Bank Exams

10 3787
Q:

In how many different ways can the letters of the word 'POVERTY' be arranged ?

A) 2520 B) 5040
C) 1260 D) None
 
Answer & Explanation Answer: B) 5040

Explanation:

The 7 letters word 'POVERTY' be arranged in 7P7 ways = 7! = 5040 ways.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

13 3785
Q:

A train 150 m long is running with a speed of 68 km/h. In what time will it pass a man who is running at 8 km/ h in the same direction in which the train is going?

A) 8 sec B) 8.5 sec
C) 9 sec D) 9.5 sec
 
Answer & Explanation Answer: C) 9 sec

Explanation:

Relative speed = 68-8 = 60 km/hr = 60 X 5 / 18 m/s = 50/3 m/s

Total distance = 150 m

Time taken to pass a man running in same direction = 150 X 3/50 = 9 seconds

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Filed Under: Problems on Trains
Exam Prep: Bank Exams

2 3782
Q:

In a party there are male and female members. If 15 female quit then the number of females will become double the number of males. If 45 males quit no. of female becomes five times the number of males. Find the number of females ?

A) 175 B) 145
C) 165 D) 135
 
Answer & Explanation Answer: A) 175

Explanation:

Let the number of males be 'M'
Let the number of females be 'F'
From the given conditions,
(F-15)=2M.....(i)
F=5(M-45).....(ii)
By solving the equations (1) & (2) we get M = 80
Then substitute M = 80 in (1)
F = 2M + 15
F = 2 x 80 + 15
=> F = 175
Therefore, number of males = 80 and females = 175 in the party.

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Filed Under: Simplification
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
Job Role: Bank Clerk , Bank PO

5 3781
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
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

14 3778