Quantitative Aptitude - Arithmetic Ability Questions

Q:

How many 7 digit numbers can be formed using the digits 1, 2, 0, 2, 4, 2, 4?

A) 120 B) 360
C) 240 D) 424
 
Answer & Explanation Answer: B) 360

Explanation:

There are 7 digits 1, 2, 0, 2, 4, 2, 4 in which 2 occurs 3 times, 4 occurs 2 times.

 

 Number of 7 digit numbers = 7!3!×2! = 420

 

But out of these 420 numbers, there are some numbers which begin with '0' and they are not 7-digit numbers. The number of such numbers beginning with '0'.

 

=6!3!×2! = 60

 

Hence the required number of 7 digits numbers = 420 - 60 = 360

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT
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43 32415
Q:

The total surface area of a hemisphere is 1039.5 cm2. Find its diameter (in cm).

 

A) 21 B) 10.5
C) 42 D) 31.5
 
Answer & Explanation Answer: A) 21

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

1 32356
Q:

Which of the following option is CORRECT for SAS similarly criterion for the triangle ABC and DEF?

 

 

A) B)
C) D) All options are correct
 
Answer & Explanation Answer: D) All options are correct

Explanation:
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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams

0 32346
Q:

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

A) 11 4/11 B) 13 4/11
C) 15 4/11 D) 16 4/11
 
Answer & Explanation Answer: D) 16 4/11

Explanation:

At 3 o'clock, the minute hand is 15 min. spaces apart from the hour hand.
To be coincident, it must gain 15 min. spaces.55 min. are gained in 60 min.
15 min. are gained in
= (60/55 x 15)min
=16+4/11
The hands are coincident at 16 + 4/11 min past 3

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Filed Under: Clocks
Exam Prep: Bank Exams
Job Role: Bank PO

44 32316
Q:

In a 200 metres race A beats B by 35 m or 7 seconds. A's time over the course is:

A) 40 sec B) 47sec
C) 33sec D) none of these
 
Answer & Explanation Answer: C) 33sec

Explanation:

B runs 35 m in 7 sec.

 

 B covers 200 m in (7/35*200) = 40 sec.

 

B's time over the course = 40 sec.

 

 A's time over the course (40 - 7) sec = 33 sec.

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Filed Under: Races and Games

45 32312
Q:

From which of the following quadrants does the line 7x + 12y = 16 will pass?

 

A) I and II B) II and III
C) I, II, III D) I, II, IV
 
Answer & Explanation Answer: D) I, II, IV

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 32234
Q:

A man buys a watch for Rs. 1950 in cash and sells it for Rs. 2200 at a credit of 1 year. If the rate of interest is 10% per annum, the man:

A) gains Rs. 55 B) gains Rs. 50
C) loses Rs. 30 D) gains Rs. 30
 
Answer & Explanation Answer: B) gains Rs. 50

Explanation:

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Filed Under: True Discount

29 32197
Q:

By selling an article at Rs.800, a shopkeeper makes a profit of 25%.At what price should he sell the article so as to make a loss of 25%?

A) Rs.720 B) Rs.640
C) Rs.540 D) Rs.480
 
Answer & Explanation Answer: D) Rs.480

Explanation:

SP = Rs.800 ; Profit = 25%

 CP = SP x 100100+P% = 800 x 100100+25 = 640

 

 Now, CP = Rs.640

 

Loss = 25% = 25% of Rs.640 = Rs.160

 

Thus, SP = CP - Loss = Rs.640 - Rs.160 = Rs.480

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Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
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42 32145