GATE Questions

Q:

I, J , K and L are all distinct individual. I is the daughter of J. J is the son of K and 'K' is the father of L. If B is the son of J and B has one brother, 'D'. Then which of the following statements is/ are true ?

I. I is the sister of D.

II. D and B are brother.

III. K is the grand father of D.

A) Only I B) I & II
C) Only III D) All of these
 
Answer & Explanation Answer: D) All of these

Explanation:

   K

   |

   J -- L

   |

   I -- D -- B

Here I is female

J, K, L & D , B are males

Then from the above conditions,

All of the given statements are true.

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Q:

What will be added to the unit digits of the number 86236 so that number will be divisible by 9  ?

A) 1 B) 2
C) 3 D) 0
 
Answer & Explanation Answer: B) 2

Explanation:

A number is divisible by 9 only if the sum of the digits of the number is divisible by 9.

Here 86236 = 8 + 6 + 2 + 3 + 6 = 25

We must add 2 to 25 to become 27 which is divisible by 9.

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4 5631
Q:

In a box, there are four marbles of white color and five marbles of black color. Two marbles are chosen randomly. What is the probability that both are of the same color?

A) 2/9 B) 5/9
C) 4/9 D) 0
 
Answer & Explanation Answer: C) 4/9

Explanation:

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2

= 1/6 + 5/18

= 4/9.

 

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Filed Under: Probability
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13 5627
Q:

Crack the Logical #MathPuzzle?

24131501_1487128788060887_7609767785986555556_n1512621550.jpg image

Answer

From given data,


Rs. 1 = 40 strawberries => Rs. 2 = 80 strawberries


Rs. 5  = 1 apple => Rs. 95 = 19 apple.


Rs. 3 = 1 mango => Rs. 3 = 1, mango


Now, Total So 100 Rs = 100 Fruits.

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Subject: Math Puzzles Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE , TOEFL
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12 5626
Q:

Solve the Math puzzle?

maths_puzzle1535777263.jpg image

A) 9 B) 15
C) 6 D) 12
 
Answer & Explanation Answer: C) 6

Explanation:

In the given puzzle, the logic is the product of the number and its preceeding number gives the result.

 

9 = 9 x 8 = 72

8 = 8 x 7 = 56

7 = 7 x 6 = 42

6 = 6 x 5 = 30

5 = 5 x 4 = 20

 

Similarly,

3 = 3 x 2 = 6.

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Q:

In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?

A) 18 B) 14
C) 22 D) 24
 
Answer & Explanation Answer: B) 14

Explanation:

1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14

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28 5614
Q:

Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ?

A) 8/15 B) 7/15
C) 1/15 D) 4/15
 
Answer & Explanation Answer: B) 7/15

Explanation:

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

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12 5612
Q:

L is the daughter of K's brother's wife's father-in-law's daughter. K is L's __

A) Son B) Aunt
C) Uncle D) Can't be determined
 
Answer & Explanation Answer: D) Can't be determined

Explanation:

K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.
L is daughter of K's sister => K is L's Uncle or Aunt.

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