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Q:

To fill a tank, 25 buckets of water is required.  How many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two-fifth of its present ?

A) 52.5 B) 62.5
C) 72.5 D) 82.5
 
Answer & Explanation Answer: B) 62.5

Explanation:

Let the capacity of 1 bucket = x.

 

 

 

Then, capacity of tank = 25x.

 

 

 

New capacity of bucket  = (2/5)x

 

 

 

Required no of buckets = 25x/(2x/5)  = 62.5

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Q:

A tank is 2/5 full. If 16 litres of water is added to the tank, it becomes 6/7 full. The capacity of the tank is:

A) 28 litres B) 32 litres
C) 35 litres D) 42 litres
 
Answer & Explanation Answer: C) 35 litres

Explanation:

Let the capacity of the tank be x litres.

 

Then, (6x/7 - 2x/5) = 16 <=> 30x - 14x = 16*35 <=> x = 35

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Q:

If a - b = 3,  a2+b2=29, find the value of ab.

A) 10 B) 12
C) 15 D) 18
 
Answer & Explanation Answer: A) 10

Explanation:

2ab=a2+b2-a2-b2

 

29-9=20

=>ab=10

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Q:

The highest score in an inning was  3/11 of the total and the next highest was 3/11 of the reminder . If the score  differ by 9, the total score was :

A) 110 B) 121
C) 132 D) 143
 
Answer & Explanation Answer: B) 121

Explanation:

Let the score be x. Then the highest score = 3x/11.

Reminder = (x - 3x/11) = 8x/11 .Next the highest score = 3/11 of 8x/11 = 24x/121.

3x/11 - 24x/11 = 9 <=> 33x - 24x = 9*121 <=> x= 121..

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Q:

In an examination, a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer. If he attempts all 60 questions and secures 130 marks, the no of questions he attempts correctly is :

A) 35 B) 38
C) 40 D) 42
 
Answer & Explanation Answer: B) 38

Explanation:

Let the number of correct answers be X.

Number of incorrect answers = (60 – X).

4x – (60 – x) = 130

=> 5x = 190 

=> x = 38

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Q:

If the 30th january 2003 was thursday, what was the day day on 2nd march, 2003?

A) sunday B) thursday
C) tuesday D) saturday
 
Answer & Explanation Answer: A) sunday

Explanation:

30th january, 2003 was thursday.

So, 6th, 13th, 20th, 27th february were all thursdays.

thus 2nd march, 2003 was 3 days after thursday, i.e. , sunday

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Q:

If first day of the year(not a leap year) was monday, then what was the last day of the year?

A) friday B) saturday
C) monday D) sunday
 
Answer & Explanation Answer: C) monday

Explanation:

If the year is not a leap year, then last day is same as first day

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Q:

If tuesday falls on 4th of month, then which day will fall three days after the 24th ?

A) monday B) tuesday
C) friday D) thursday
 
Answer & Explanation Answer: D) thursday

Explanation:

The 4th day is tuesday, then 11, 18, 25th also tuesdays

Then 3 days after 24th is 27th, which is thursday

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