Quantitative Aptitude - Arithmetic Ability Questions

Q:

There are two parallel streets each directed north to south. A person in the first street travelling from south to north wishes to take the second street which is on his right side. At some place, he makes a 150 deg turn to the right and he travels for 15 minutes at the speed of 20 km/hr. After that he takes a left turn of 60 deg and travels for 20 minutes at the speed of 30 km/hr in order to meet the second street. What is the distance between the two streets?

A) 7.5 km B) 10.5 km
C) 12.5 km D) 15 km
 
Answer & Explanation Answer: C) 12.5 km

Explanation:
Initially the person is travelling from south to north i.e. D to A
He takes 150 deg right turn and moves AB distance and then he takes 60 deg left turn travels BC
AB = 20km/hr * 15/60 hr = 5km
BC = 30 * 20/60 = 10 km
We know that distance between both the streets is DC = DB + BC
DB = AB cos 60o= 5. ½ =2.5 km
So the distance between streets = 12.5 km
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Filed Under: Height and Distance
Exam Prep: Bank Exams

5 2099
Q:

Two bikers A and B start and ride at 75 km/hr and 60 km/hr respectively towards each other. They meet after 20 minutes. How far (in km) were they from each other when they started?

A) 60 B) 45
C) 30 D) 15
 
Answer & Explanation Answer: B) 45

Explanation:
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Filed Under: Time and Distance
Exam Prep: Bank Exams

2 2098
Q:

Murad can do a piece of work in 33 hours. If he is joined by Joel who is 100% more efficient, in what time will they together finish the work?

A) 4 hours B) 6 hours
C) 2 hours D) 11 hours
 
Answer & Explanation Answer: D) 11 hours

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

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Q:

The marked price of an article is 60% more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his article at no profit or no loss?

A) 37.5 B) 62.5
C) 50 D) 25
 
Answer & Explanation Answer: A) 37.5

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

5 2096
Q:

The sum of ages of Ram and his son is 48. If his uncle's age is also included the average becomes 40. What is the age of Ram's uncle?

A) 48 B) 50
C) 72 D) 34
 
Answer & Explanation Answer: C) 72

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

3 2095
Q:

If xy = 56 and x2+ y2= 113, then what will be the value of (x + y)?

A) 29 B) 21
C) 36 D) 15
 
Answer & Explanation Answer: D) 15

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

3 2095
Q:

A person driving at the speed of 45 kmph reaches office 1 minute early while she reaches 3 minutes late if driving 40 kmoh. What is the distance (in Km) that she is covering?

 

A) 24 B) 28
C) 32 D) 30
 
Answer & Explanation Answer: D) 30

Explanation:

Difference in time taken = 4min = 1/15 hr

Let the total distance covered by person be D km.

Then,

D/40 – D/45 = 1/15

⇒ 5D = 120

⇒ D = 24 km

∴ Distance covered by person is 24 km.

 

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Filed Under: Time and Distance
Exam Prep: Bank Exams

6 2094
Q:

One tap can fill a water tank in 50 mins and another tap can make the filled tank empty in 75 mins. If both the taps are open together, already half filled tank would be full in

A) 60 min B) 75 min
C) 125 min D) 150 min
 
Answer & Explanation Answer: B) 75 min

Explanation:
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Filed Under: Time and Work
Exam Prep: Bank Exams

1 2093