Aptitude and Reasoning Questions

Q:

Three dice are thrown together.Find the probability of getting a total of atleast 6.

A) 103/216 B) 103/108
C) 103/36 D) 36/103
 
Answer & Explanation Answer: B) 103/108

Explanation:

Total number of events=6 x 6 x 6=216
Let A be the event of getting a total of atleast 6 and B denoted event of getting a total of less than 6 i.e.,3,4,5.

So,B={(1,1,1),(1,1,2),(1,2,1),(2,1,1),(1,1,3),(1,3,1),(3,1,1),(1,2,2),(2,1,2),(2,2,1)}

Favourable number of cases=10

Therefore,P(B)=10/216

=> P(A) = 1 - P(B)

             = 1 - (10/216) = 103/108

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Filed Under: Probability

17 10940
Q:

Daya has a brother Anil. Daya is the son of Chandra. Bimal is Chandra's father. In terms of relationship, what is Anil of Bimal ? 

A) Son B) Grandson
C) Brother D) Grandfather
 
Answer & Explanation Answer: B) Grandson

Explanation:

Anil is the brother of Daya and Days is the son of Chandra. 

So, Anil is the son of Chandra Now, Bimal is the father of Chandra. 

So, Anil is the grandson of Bimal. 

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Filed Under: Blood Relations

10 10926
Q:

It was Sunday on Jan 1, 2006. What was the day of the week Jan 1, 2010 ?

A) Sunday B) Friday
C) Monday D) Tuesday
 
Answer & Explanation Answer: B) Friday

Explanation:

Number of odd days from the year 2006 to the year 2009 = (1 + 1 + 2 + 1) = 5 days.

On 1st Jan 2006, it was Sunday.

Thus, On 1st Jan, 2010 it is Friday.

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

53 10921
Q:

What is two weeks from today?

A) same day B) previous day
C) next day D) None
 
Answer & Explanation Answer: A) same day

Explanation:

We know that the day repeats every 7 days, 14 days, 21 days,...

So if today is Monday, after 7 days it is again Monday, after 14 days again it is Monday.

Hence, after 2 weeks i.e, 14 days the day repeats and is the same day. 

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

59 10917
Q:

The minimum number of half years in which a sum of money kept at 60% compound interest will be quadrupled is ?

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

Explanation:

Let us assume Amount be 100 Rs and we calculate in CI

 First year 60% of 100 = 60 amount (100+60) is 160

 Second year 60% of 160 = 96 amount (160+96) is 256

 Third year 60% of 256 =153.6 amount (256+153.6) is 409.6

 Here the Amount of 100 Rs is quadrapled in 3 years.

 One year contains 2 half years

 Three year has 6 half years.

 Therefore,  It takes 6 half years.

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

14 10917
Q:

The product of two positive numbers is p. If each of the numbers is increased by 2, the new product is how much greater than twice the sum of the two original numbers ?

A) p times B) 2p times
C) (p + 4) times D) (2p + 3) times
 
Answer & Explanation Answer: C) (p + 4) times

Explanation:

Let the two no's be a and b;
Given product of the no's is p = ab;
If the each nos is increased by 2 then the new product will be
(a+2)(b+2) = ab + 2a + 2b + 4
= ab + 2(a+b) + 4
= p + 2(a+b) + 4
Hence the new product is (p+4) times greater than twice the sum of the two original numbers.

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

11 10912
Q:

How many digits will be there to the right of the decimal point in the product of 95.75 and 0.2554 ?

A) 6 B) 7
C) 8 D) 9
 
Answer & Explanation Answer: A) 6

Explanation:

Sum of the decimal places = 7 .

Since  the last digit to the extreme right  wil be zero ( 5 * 4 = 20),  so there will be  6  significant digits to the right of the decimal point....

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Filed Under: Decimal Fractions

13 10906
Q:

An unbiased cubic die is thrown.What is the probabiltiy of getting a multiple of 3 or 4?

A) 1/12 B) 1/9
C) 3/4 D) 1/2
 
Answer & Explanation Answer: D) 1/2

Explanation:

Total numbers in a die=6

P(mutliple of 3) = 2/6 = 1/3

P(multiple of 4) = 1/6

P(multiple of 3 or 4) = 1/3 + 1/6 = 1/2

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Filed Under: Probability

4 10902