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
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Q:

If x4 + (1/x4) = 34, then what is the value of x3  (1/x3)?

A) 0 B) 6
C) 8 D) 14
 
Answer & Explanation Answer: D) 14

Explanation:
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Filed Under: Simplification
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Q:

If 1 + (1/2) + (1/3) + ... + (1/20) = k, then what is the value of (1/4) + (1/6) + (1/8) + ... + (1/40)?

A) k/2 B) 2k
C) (k – 1)/2 D) (k + 1)/2
 
Answer & Explanation Answer: C) (k – 1)/2

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

If the radius of a circle is increased by 14% its area increases by

A) 28 percent B) 29.96 percent
C) 14 percent D) 14.98 percent
 
Answer & Explanation Answer: B) 29.96 percent

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

If a watch is being sold at Rs 7,225 which is marked at Rs 8,500, then what is the discount (in %) at which the watch is being sold?

A) 24 B) 15
C) 25 D) 20
 
Answer & Explanation Answer: B) 15

Explanation:
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Filed Under: Percentage
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Q:

What least value must be assigned to '*' so that the numbers 451 *  603 is exactly divisible by 9?

A) 7 B) 8
C) 5 D) 9
 
Answer & Explanation Answer: B) 8

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

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Q:

Raghu has invested Rs. 1000 and received Rs. 1300 at 6% per annum simple interest after X years. Find thevalue of X.

A) 4 years B) 3 years
C) 2 years D) 5 years
 
Answer & Explanation Answer: D) 5 years

Explanation:
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Filed Under: Simple Interest
Exam Prep: Bank Exams

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Q:

The entry ticket at a fun park was increased in the ratio 7 : 9, due to which footfalls fell in the ratio 13 : 11. What is the new daily collection (in Rs), if the daily collection before the price hike was Rs 2,27,500?

A) 237500 B) 247500
C) 232500 D) 242500
 
Answer & Explanation Answer: B) 247500

Explanation:
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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

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