Quantitative Aptitude - Arithmetic Ability Questions

Q:

If the HCF of 210 and 55 is expressible in the form of 210 x 5 + 55P, then value of P = ?

A) -23 B) 27
C) 16 D) -19
 
Answer & Explanation Answer: D) -19

Explanation:

HCF of 210 and 55 is 5

Now, 210x5 + 55P = 5

=> 1050 + 55P = 5

=> 55P = -1045

=> P = -1045/55

=> P = -19.

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Filed Under: HCF and LCM
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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28 10953
Q:

The banker's discount on Rs. 1800 at 12% per annum is equal to the true discount on Rs. 1872 for the same time at the same rate. Find the time.

A) 7 months B) 6 months
C) 3 months D) 4 months
 
Answer & Explanation Answer: D) 4 months

Explanation:

S.I. on Rs. 1800 = T.D. on Rs. 1872.

P.W. of Rs. 1872 is Rs. 1800.

Rs. 72 is S.I. on Rs. 1800 at 12%.

Time =[(100 x 72)/ (12x1800)]year

        =1/3year = 4 months.

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Filed Under: Banker's Discount

3 10951
Q:

 On what dates of April, 2001 did Wednesday fall ?

A) 1st, 8th, 15th, 22nd, 29th B) 2nd, 9th, 16th, 23rd, 30th
C) 3rd, 10th, 17th, 24th D) 4th, 11th, 18th, 25th
 
Answer & Explanation Answer: D) 4th, 11th, 18th, 25th

Explanation:

ke

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Filed Under: Calendar

10 10939
Q:

A vertical toy 18 cm long casts a shadow 8 cm long on the ground. At the same time a pole casts a shadow 48 m. long on the ground. Then find the height of the pole ?

A) 1080 cm B) 180 m
C) 108 m D) 118 cm
 
Answer & Explanation Answer: C) 108 m

Explanation:

We know the rule that,

 

At particular time for all object , ratio of height and shadow are same.

 

Let the height of the pole be 'H'

 

Then

 188=H48

 

=> H = 108 m.

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Filed Under: Height and Distance
Exam Prep: CAT , Bank Exams , AIEEE
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19 10938
Q:

A train for Fathehpur leaves for every 2 hrs 30 min from Agra station. An announcement was made that train left 37 mins ago and next train comes at 17:00hrs. At what time was the announcement made ? 

A) 15:07 hrs B) 15:20 hrs
C) 15:05 hrs D) 15:00 hrs
 
Answer & Explanation Answer: A) 15:07 hrs

Explanation:

Next train comes at 17:00 hrs.
So, last train will be = 17:00hrs - 2:30hrs
= 14:30hrs
Announcement made after 37 min of the last train.
S0, 14:30hrs + 00:37 min
= 15:07 hrs.

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

10 10925
Q:

Find the annual income derived from Rs. 2500, 8% stock at 106?

A) 100 B) 200
C) 150 D) 250
 
Answer & Explanation Answer: B) 200

Explanation:

Income from Rs. 100 stock = Rs. 8.

 

Income from Rs. 2500 stock = Rs8100*2500 = Rs. 200.

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Filed Under: Stocks and Shares

3 10910
Q:

If the sum and diference of two numbers are 20 and 8 respectively, then the difference of their squares is :

A) 120 B) 140
C) 160 D) 180
 
Answer & Explanation Answer: C) 160

Explanation:

Let the numbers be x and y. Then, x + y = 20 and x - y = 8.

 x^2 - y^2 = (x + y) (x - y) = 20 x 8 = 160.

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Filed Under: Problems on Numbers

7 10904
Q:

The area of a square is 1024 sq.cm. What is the ratio of the length to the breadth of a rectangle whose length is twice the side of the square and breadth is 12 cm less than the side of this square ?

A) 14:9 B) 13:12
C) 16:5 D) 17:13
 
Answer & Explanation Answer: C) 16:5

Explanation:

Area of a square SxS = 1024 => S = 32 cm
Length of the rectangle = 32x2 cm = 64 cm
Breadth of the rectangle = 32 - 12 = 20 cm
Required ratio = 64 : 20 = 16 : 5

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Filed Under: Area
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5 10901