Quantitative Aptitude - Arithmetic Ability Questions

Q:

One card is drawn from deck of 52 cards, each of the 52 cards being equally likely to be drawn. Find the probability that the ball drawn is red.

A) 1/3 B) 1/2
C) 1/4 D) 1/6
 
Answer & Explanation Answer: B) 1/2

Explanation:

Total number of elementary events = 52

 

There are 26 red cards,out of which one red card can be drawn in 26C1 ways =26.

 

So,required probability = 26/52 = 1/2

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Filed Under: Probability

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Q:

A number is 2 more than thrice the second number and 4 times the smaller number is 5 more than the greater number. What is greater number  ?

A) 7 B) 23
C) 9 D) 21
 
Answer & Explanation Answer: B) 23

Explanation:

Let the greater and smaller number be p and q respectively.

4q = p + 5 ------ (I)

p = 3q+2 ------- (II)

From equation (I) and (II)

q = 7

p = 23

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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Q:

1 bottle of honey costs Rs 240 but a pack of 4 of the same bottles costs Rs 768. What is the effective discount (in %) on the pack?

A) 16 B) 25
C) 10 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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Q:

How many prime numbers exist in 65×359×113 ?

A) 29 B) 31
C) 33 D) 27
 
Answer & Explanation Answer: B) 31

Explanation:

Given  65×359×113

2×35×5×79×113 

25×35×59×79×113

Thus, there are (5 + 5 + 9 + 9 + 3)= 31 prime numbers.

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Filed Under: Numbers
Exam Prep: CAT
Job Role: Bank PO

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Q:

Other things being equal, would an investor prefer an interest rate of 10.5% compounded monthly or 11% compounded annually for a two-year investment?

A) 1232 B) 1243
C) 1254 D) 1262
 
Answer & Explanation Answer: A) 1232

Explanation:

i=j/m

 

FV=  PV(1+  i)^n 

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

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Q:

How much water (in litres) must be added to 80 litres solution of milk and water containing 10% milk, so that it becomes a 5% milk solution?

A) 10 B) 20
C) 40 D) 80
 
Answer & Explanation Answer: D) 80

Explanation:
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Filed Under: Alligation or Mixture
Exam Prep: Bank Exams

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Q:

Rs. 2018 are to be divided among P, Q and R in such a way that if P gets Rs. 5 then Q must get Rs. 12 and if Q gets Rs. 4 then R must get Rs. 5.50. The share of R will exceed that of Q by

A) Rs. 127 B) Rs. 271
C) Rs. 721 D) Rs. 217
 
Answer & Explanation Answer: B) Rs. 271

Explanation:

ATQ,

P : Q = 5 : 12 = 10 : 24

Q : R = 4 : 5.5 = 24 : 33

P:Q:R = 10 : 24 : 33

Sum of the ratios = 10 + 24 + 33 = 67

Difference between the share of R & Q

= (33-24/67 x 2018)

= 9/67 x 2018

= Rs. 271.

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

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Q:

An engineering student has to secure 24% marks to pass. He gets 61 and fails by 29 marks. What is the maximum marks for that exam?

A) 375 marks B) 400 marks
C) 425 marks D) 450 marks
 
Answer & Explanation Answer: A) 375 marks

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

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