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Q:

K men agree to donate a gift of Rs. L to trust. If three men drop out how much more will each have to contribute towards the purchase of the gift ?

A) L / (k-3) B) k / (L-3)
C) 2K / 3L-K D) 3L / K(K-3)
 
Answer & Explanation Answer: D) 3L / K(K-3)

Explanation:

Intial contribution = L/K
After 3 men drop, then contribution =L/K-3
The amount more to pay in contribution = LK-3 - LK

 

3LK(K-3)

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Q:

A group of six cousins are sitting around a hexagonal table, each one at one corner of the hexagon. (facing the centre inside) Raju is sitting opposite to Rohan. Sweety is sitting next to Navya. Aadya is sitting opposite to Navya, but not next to Kalyan. Karthik has a person sitting between Rohan and himself. If Sweety sits to the right of Karthik, then who is sitting to the left of Karthik ?

A) Aadya B) Kalyan
C) Raju D) Rohan
 
Answer & Explanation Answer: C) Raju

Explanation:

Suppose Sweety is sitting between Rohan and Karthik such that she is to the right of him.....then as Raju is opposite to Rohan then Raju must be to the left of Karthik.

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Filed Under: Logic
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Q:

A polygon has 44 diagonals, then the number of its sides are ?

A) 13 B) 9
C) 11 D) 7
 
Answer & Explanation Answer: C) 11

Explanation:

Let the number of sides be n. 

The number of diagonals is given by nC2 - n  

Therefore, nC2 - n = 44, n>0 

nC2 - n = 44

n- 3n - 88 = 0 

n2 -11n + 8n - 88 = 0  

n(n - 11) + 8(n - 11) = 0 

n = -8 or n = 11.

 

As n>0, n will not be -8. Therefore, n=11.

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Filed Under: Permutations and Combinations
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Q:

Bhim has assembled a basket of fruit as a holiday gift for each of his friends- Santosh, Tarun, Ujjwal, and Varun. A total of fifteen pieces of fruits-five apples, five oranges and five pears are distributed among the four baskets according to the following conditions: Santosh , Tarun and Ujjwal will each receive exactly two different types of fruit. Varun will receive only apples. Tarun will receive more pieces of fruit than Santosh. Each basket includes at least three pieces of fruit.

1. If Varun’s basket contains more pieces of fruit than Tarun’s basket, then Tarun’s basket must contain:
I. Four pieces of fruit.
II. At least one orange.
III. At least one pear.

(a) I only   (b) III only    (c) Botha I and II   (d) Both II and III

 

2. If Ujjwal’s basket contains more pieces of fruit than Tarun’s basket, all of the following must be false EXCEPT:

(a) Only Varun will receive apple

(b) Varun will receive exactly four apple.

(c) Ujjwal will receive exactly two apple.

(d) Tarun will receive exactly four pear.

Answer

1. Answer (b)


Santosh , Ujjwal and Varun must each receive at least three pieces, but Tarun must receive at least four pieces. The maximum number of pieces that any person may receive is six ( 6 + 3+ 3+3 = 15 ), and only Tarun may receive six pieces. Ujjwal and Varun each may receive as many as five pieces, while Santosh may receive only four pieces at maximum.
At least one pear.


 


2. Answer (c)


Varun may receive no more than five pieces and Tarun may receive no fewer than four pieces. As a result, if Varun receives more pieces than Tarun, then Varun must receive five pieces, and Tarun must receive four pieces. Thus, statement (a) must be true. Since Varun will receive five pieces, none of the other three friends will receive any apple, accordingly, each of the other three friends must receive at least one orange and at least one pear. Thus, statement (b) and (d) must be true.

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Q:

Four thermal heaters A,B, C and D are used in the R & D department of Raliance chemicals Ltd. Only one heater can be used on any day . If heater A is used on any day, neither A nor C can be used the next day. If heater C is used on any day, neither C nor D can be used on the next day. If heater C is used on any day, then A has to be used the next day. If heater D is used on any day, then B has to be used the next day.

If heater D is used on the third day and different heaters are used on first and fourth day, which heater is used on the first day ?

   (1) D       (2) A       (3) B        (4) C

Answer

If heater D is used on the third day, heater B has to be used on the fourth day and A has to be used on the second day. But if A is used on second day, then either B or C has to be used on the first day. But if heater B is used on the first day, then according to the question, the requirement of having different heaters on the first day and fourth days would not be fulfilled. Hence the heater that would be used on the first day is C.

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Q:

Rohith Agarwal has three children--- Lila, Visal and Avinash. Avinash married Monika, the eldest daughter of Mr. and Mrs. Roy. The Roys married their youngest daughter to the eldest son of Mr. and Mrs. Sharma, and they had two children named Amit and Shashi. The Roys have two more children, Roshan and Vandana, Both elder to Veena. Sanketh and Yashwanth are sons of Avinash and Monika. Rashmi is the daughter of Amit.

1) How is Veena related to Rashmi ?
(a)Aunt     (b)Niece      (c)Sister     (d)Grand mother


2) How is Vishal related to Vandana ?
(a)Brother     (b)Brother-in-law      (c)Cousin      (d)Nephew


3) What is the surname of Yashwanth ?
(a)Sharma      (b)Roy      (c)Agarwal      (d)None

Answer

Answer 1) d
Rashmi is the daughter of Amit who is son of Veena.
Therefore, Veena is Grand mother of Rashmi.


Answer 2) b
Vandana's sister is Vishal's brother's wife.
Therfore, Vishal is Vandana's Brother-in-law.


Answer 3) c
Yashwanth is son of Avinash who is the son of Rohit Agarwal.
Therefore, surname of Yashwanth is Agarwal.

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Q:

A family has a man, his wife, their four sons and their wives and one daughter. The family of every son also has 3 sons and one daughter. Find out the total number of female members in the family ?

A) 12 B) 8
C) 9 D) 10
 
Answer & Explanation Answer: D) 10

Explanation:

1) Man's wife. = 1
2) Man's 4 son's wives. = 4
3) Man's daughter. = 1
4) 4 son's has each one daughter. = 4
Therefore, total number of female members in the family = 1+4+1+4 = 10.

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Q:

A shopkeeper has a job to print certain number of documents and there are three machines P, Q and R for this job. P can complete the job in 3 days, Q can complete the job in 4 days and R can complete the job in 6 days. How many days the shopkeeper will it take to complete the job if all the machines are used simultaneously ?

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

Explanation:

Let the total number of documents to be printed be 12.

 The number of documents printed by P in 1 day = 4.

 The number of documents printed by Q in 1 day = 3.

 The number of documents printed by R in 1 day = 2.

 
Thus, the total number of documents that can be printed by all the machines working simultaneously in a single day = 9.

 

Therefore, the number of days taken to complete the whole work = 12/9 = 4/3 days.

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Filed Under: Time and Work
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