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

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Q:

Rs 3200 is divided among A, B and C in the ratio of 3 : 5 : 8 respectively. What is the difference (in Rs) between the share of B and C?

A) 400 B) 600
C) 800 D) 900
 
Answer & Explanation Answer: B) 600

Explanation:
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Filed Under: Partnership
Exam Prep: AIEEE , Bank Exams , CAT

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Q:

M is thrice as good as workman as N and together they finish a piece of work in 30 days. In how many days will M alone finish the work?

A) 50 B) 40
C) 60 D) 45
 
Answer & Explanation Answer: B) 40

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

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Q:

PQ is the chord of a circle whose centre is O. ROS is a line segment originating from a point R on the circle that intersect PQ produced at point S such that QS = OR. If ∠QSR = 30°, then what is the value (in degrees)of POR?

A) 30 B) 45
C) 60 D) 90
 
Answer & Explanation Answer: D) 90

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams
Job Role: Bank Clerk

1 2441
Q:

If 4x = √5+ 2, then the value of x - 1/16x is

A) 1 B) -1
C) 4 D) 2√5
 
Answer & Explanation Answer: A) 1

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Three friends J, K and L jog around a circular stadium and complete one round in 12, 18 and 20 seconds respectively. In how many minutes will all the three meet again at the starting point.

A) 5 B) 8
C) 12 D) 3
 
Answer & Explanation Answer: D) 3

Explanation:

All the three friends will meet at the starting point again after X seconds, such that X is the LCM of the times taken by J, K and L to complete one round.

=> LCM of 12, 18 and 20 = 180 seconds = 3 minutes.

Hence 3 minutes is the answer.

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Filed Under: HCF and LCM

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Q:

In a city, 40% of the people are illiterate and 60% are poor. Among the rich, 10% are illiterate. The percentage of the illiterate poor population is

A) 36 B) 60
C) 50 D) 40
 
Answer & Explanation Answer: B) 60

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

How many job applicants had applied if the ratio of selected to unselected was 19:17. If 1,200 less had applied and 800 less selected, then the ratio of selected to unselected would have been 1:1.

A) 6000 B) 7200
C) 8400 D) 4800
 
Answer & Explanation Answer: B) 7200

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

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