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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

Ashok can row upstream at 8 kmph and downstream at 12kmph.What is the speed of the stream ?

A) 6 km/hr B) 3 km/hr
C) 2 km/hr D) 4.5 km/hr
 
Answer & Explanation Answer: C) 2 km/hr

Explanation:

If the speed downstream is a kmph and the speedup stream is b kmph then
Speed of the stream = 1/2 x (a–b) kmph
Speed downstream a = 12kmph
Speed upstream b = 8 kmph
Speed of the stream = 1/2 x (a–b) = 1/2 x (12–8)= 4/2 = 2 kmph

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Filed Under: Boats and Streams
Exam Prep: Bank Exams

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Q:

In the given figure, PQRS is a square inscribed in a circle of radius 4 cm. PQ is produced till point Y. From Y a tangent is drawn to the circle at point R. What is the length (in cm) of SY ?

A) 4√10 B) 2√10
C) 6√10 D) 3√5
 
Answer & Explanation Answer: A) 4√10

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

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Q:

A uniformly moving train of length 480 m takes 3 minutes to completely cross a platform. If the same train, with the same speed crosses a pole completely in 30 sec, then the length of the platform is -

A) 1 km B) 600 m
C) 4.8 km D) 1.2 km
 
Answer & Explanation Answer:

Explanation:

Let length of platform be ‘y’metres.

Then, at the platform,Distance travelled = y + (length of train) = (y + 480)m

Then, Speed of train = (y + 480)m / (3x60) sec = (y+480)/180 ...(1)

Also, at the pole,Distance travelled = length of train = 480m

Then, Speed of train = 480m / 30sec = 16 m/s ...(2)

Equating eq.(1) & eq.(2), we get,

(y+480)/180 = 16(y+480) = 16 x 180 = 2880

y = 2880 –480 = 2400m or 2.4 km long platform.

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Filed Under: Problems on Trains
Exam Prep: Bank Exams
Job Role: Bank PO , Bank Clerk

2 2575
Q:

Each question contains Quantity I and Quantity II. Read the contents carefully and answer your questions accordingly.

Quantity I: there are three numbers in the ratio 5:6:10. The sum of the largest and the smallest numbers is 126 more than the other number. Find the largest number?

Quantity II: 12% of first number is equal to 25 % second number. The difference of these two numbers is 78. Then find the largest number?

A) Quantity I > Quantity I B) Quantity I ≥ Quantity II
C) Quantity I < Quantity II D) Quantity I < Quantity II
 
Answer & Explanation Answer: C) Quantity I < Quantity II

Explanation:

Quantity I= Let the three numbers will be 5x, 6x and 10x respectively

ATQ

10x+5x−6x=126 

9x=126 X=14

So largest number =10x=10×14=140

Quantity II=let x and y are two numbers

ATQ 

12% of x=25%of y And their difference is 78 

So first no.=150 2nd no.=72

Hence Quantity I < Quantity II

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Filed Under: Ratios and Proportions

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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

2 2573
Q:

If A/3 = B/2 = C/5, then what is the value of ratio (C + A)2 : (A + B)2 : (B + C)2?

A) 9 : 4 : 25 B) 25 : 4 : 9
C) 64 : 25 : 49 D) 49 : 25 : 64
 
Answer & Explanation Answer: C) 64 : 25 : 49

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

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Q:

Prabhat has done 1/2 of a job in 12 days. Santosh completes the rest of the job in 6 days. In how many days can they together do the job?

A) 12 days B) 4 days
C) 8 days D) 16 days
 
Answer & Explanation Answer: C) 8 days

Explanation:
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Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE

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Q:

A rectangular red carpet of size 6 ft ×12 ft has a dark red border 6 inches wide. What is the area of the dark red border?

 

A) 9 square feet B) 15 square feet
C) 17 square feet D) 18 square feet
 
Answer & Explanation Answer: C) 17 square feet

Explanation:
Initially carpet is 6×12 = 72 sq feet
Since red border is 6 inches wide from all 4 side
So area without border = 5× 11 = 55 sq feet
Area of border = total–area without border = 72–55 = 17 sq feet
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

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