Quantitative Aptitude - Arithmetic Ability Questions

Q:

 (3x + 2) (2x - 5) = ax² + kx + n .

What is the value of a - n + k ?

A) 5 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: A) 5

Explanation:

This is a quadratic equation. To find n we multiply the last terms in each bracket together (2 times -5) = -10

To find ‘a’ we multiply the first terms in each bracket together (3x times 2x) = 6x2, So a = 6.

Thus a - n = 16

To find k we multiply the first term in the first bracket by the second term in the second bracket and add the result to the product of the second term in the first bracket and the first term in the second. (-15x + 4x) = -11x. So k = -11

16 - 11 = 5

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Filed Under: Problems on Numbers
Exam Prep: GRE

7 58452
Q:

The salaries of A, B, and C are in the ratio of 1 : 2 : 3. The salary of B and C together is Rs. 6000. By what percent is the salary of C more than that of A?

A) 100 % B) 200%
C) 300% D) 600%
 
Answer & Explanation Answer: B) 200%

Explanation:

Let the salaries of A, B, C be x, 2x and 3x respectively.

Then,2x + 3x = 6000  => x = 1200.

A's salary = Rs. 1200, B's salary = Rs. 2400, and Cs salary Rs. 3600.
Excess of C's salary over A's=[ (2400 /1200) x 100] = 200%.

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Filed Under: Ratios and Proportions

144 58405
Q:

A sum of money lent at compound interest for 2 years at 20% per annum would fetch Rs.482 more, if the interest was payable half yearly than if it was payable annually . The sum is

A) 10000 B) 20000
C) 40000 D) 50000
 
Answer & Explanation Answer: B) 20000

Explanation:

Let sum=Rs.x

 

C.I. when compounded half yearly = x1+101004-x=464110000

 

C.I. when compounded annually =x201002-x=1125

 464110000x-1125x=482

 

=> x=20000

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

278 58254
Q:

A bag contains 6 black and 8 white balls. One ball is drawn at random. What is the probability that the ball drawn is white?

A) 3/7 B) 4/7
C) 1/8 D) 3/4
 
Answer & Explanation Answer: B) 4/7

Explanation:

Let number of balls = (6 + 8) = 14.

Number of white balls = 8.

P (drawing a white ball) = 8 /14 = 4/7.

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Filed Under: Probability

96 58168
Q:

Simplify the following expression?

40% of (244 x ?) = 48

A) 24 B) 22
C) 20 D) 18
 
Answer & Explanation Answer: C) 20

Explanation:

We know that 

40% = 40100 = 2525 x 244 x ? = 48? = 48 x 5 x 42 x 24 = 20

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Filed Under: Simplification
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

3 58107
Q:

Compute of 29292 x 9999 = ?

 

 

A) 222890708  B) 298290708 
C) 292809708  D) 292890708
 
Answer & Explanation Answer: D) 292890708

Explanation:
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Filed Under: Simplification
Exam Prep: Bank Exams

0 58059
Q:

On what dates of April, 2001 did Wednesday fall?

A) 2nd,9th,16th,23rd B) 4th,11th,18th,25th
C) 12th,18th,27th,6th D) 1st,8th,15th,22nd
 
Answer & Explanation Answer: B) 4th,11th,18th,25th

Explanation:

We shall find the day on 1st April, 2001.

1st April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001)

Odd days in 1600 years = 0

Odd days in 400 years = 0

Jan. Feb. March April

(31 + 28 + 31 + 1) = 91 days 0 odd days.

Total number of odd days = (0 + 0 + 0) = 0

On 1st April, 2001 it was Sunday.

In April, 2001 Wednesday falls on 4th, 11th, 18th and 25th.

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Filed Under: Calendar

254 57793
Q:

 Find the Odd One Out?

3, 4, 14, 48, 576, 27648

A) 4 B) 14
C) 48 D) 27648
 
Answer & Explanation Answer: B) 14

Explanation:

Given Number series is :

 

3   4   14   48   576   27648

 

It follows a pattern that,

 

3

 

4

 

4 x 3 = 12   but not 14

 

12 x 4 = 48

 

48 x 12 = 576

 

576 x 48 = 27648

 

 

 

Hence, the odd one in the given Number Series is 14.

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Filed Under: Odd Man Out
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk , Analyst

4 57711