Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two boxes contain 4 and 16 balls respectively. Two balls in the first box and four in the second, are black. If a box is chosen randomly and two balls are drawn at random from it, what is the
probability that at least one ball is black if the ball is not replaced?

A) 11/20 B) 43/120
C) 77/120 D) 9/20
 
Answer & Explanation Answer: C) 77/120

Explanation:

At least one black can be chosen in two ways from each box:
Now, probability of choosing at least one black ball from first box 

= 1/2 × [ (2C1× 2C1)/4C2 + 2C2/ 4C2 ]= 5/12

Probability of choosing at least one black ball from 2nd box
= 1/2 × [(4C1×12C1)/16C2 + 4C2/ 16C2] = 9/40

Final probability

= 5/12 + 9/40 = (50 + 27)/120 = 77/120

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4 4222
Q:

A sum of Rs. 10,000 is lent partly at 6% and the remaining at 10% p.a. If the yearly interest on the average is 9.2%, the money lent at 10% is:-

A) Rs. 8000 B) Rs. 8500
C) Rs. 5000 D) Rs. 2000
 
Answer & Explanation Answer: A) Rs. 8000

Explanation:

Let the amount at 6% be x
Amount at 10% be (10000 –x)
At 9.2 % interest, SI = 10000 X 9.2 X 1/100 = 920
Amount = 10920
⇒ 6x/100 + (10000 – x)10/100 = 920
⇒ 6x – 10x + 100000 = 92000
⇒ 4x = 8000
⇒ x = 2000
Money lent at 10 % = 10000 – 2000 = 8000

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Filed Under: Simple Interest
Exam Prep: Bank Exams

4 4222
Q:

If an investment can earn 4% compounded monthly, what amount must you invest now in order to accumulate $10,000 after 3 years?

A) 8695.61 B) 6786
C) 3478 D) 4092
 
Answer & Explanation Answer: A) 8695.61

Explanation:

i=j/m

PV = FV (1+  i)^-n 

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

0 4221
Q:

In 100 m race, A covers the distance in 36 seconds and B in 45 seconds. In this race A beats B by

A) 20 m B) 25 m
C) 22.5 m D) 9 m
 
Answer & Explanation Answer: A) 20 m

Explanation:

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Filed Under: Races and Games

2 4217
Q:

If 6A = 4B = 9C; What is A : B : C?

A) 6 : 4 : 9 B) 9 : 4 : 6
C) 4 : 9 : 6 D) 6 : 9 : 4
 
Answer & Explanation Answer: D) 6 : 9 : 4

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

3 4214
Q:

Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?

A) 167 B) 177
C) 187 D) 197
 
Answer & Explanation Answer: B) 177

Explanation:

Let the second & third numbers are 2x & 3x respectively.
ATQ,
5x*6x = 4320
30*x*x = 4320
x*x = 144
x=12
Hence, second number = 5x = 5*12 = 60
Third number = 6x = 6*12 = 72
Ratio of first & second number = ¾
Hence, first number = ( ¾)*60 = 45
Sum of these 3 numbers = 60+72+45 = 177

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Filed Under: Ratios and Proportions
Exam Prep: Bank Exams

5 4213
Q:

A loan is made for $4800 with an APR of 12% and payments made monthly for 24 months. What is the payment amount? What is the finance charge?

A) 622.80 B) 522.80
C) 322.80 D) 632.80
 
Answer & Explanation Answer: A) 622.80

Explanation:

{\color{Blue} A=R\left [(1+i)^{n-1} \right ]/i ( 1+i )^{n}}

 

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

0 4208
Q:

A person purchase 50 mangoes he sells 10 at 20% profit, 20 at 30% profit and rest got rotten. Find its total loss or profit%?

A) 28% B) 26%
C) 24% D) 22%
 
Answer & Explanation Answer: C) 24%

Explanation:

Let the cost price of each mango be Rs. 1

So 50 mangoes costs = Rs. 50

20% Profit on Selling Price of 10 mangoes = Rs. 12 

30% Profit on Selling Price of 20 mangoes = Rs. 26

Total = Rs. 38

Loss = 50 - 38 = 12

 

Loss% = (12/50) x 100 = 24%.

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

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