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Q:

Adam and Smith are working on a project. Adam takes 6 hrs to type 36 pages on a computer, while Smith takes 5 hrs to type 40 pages. How much time will they take, working together on two different computers to type a project of 120 pages?

A) 8 hrs 45 min	B) 8 hrs 42 min
C) 8 hrs	D) 8 hrs 34 min

Answer & Explanation Answer: D) 8 hrs 34 min

Explanation:

Number of pages typed by Adam in 1 hour = 36/6 = 6
Number of pages typed by Smith in 1 hour = 40/5 = 8
Number of pages typed by both in 1 hour = (6 + 8) = 14
Time taken by both to type 110 pages = (120 * 1/14) = $8 \frac{4}{7}$ = 8 hrs 34 min.

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Filed Under: Time and Work
Exam Prep: GATE , CAT , Bank Exams
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Q:

After working for 8 days, Arun finds that only $\frac{1}{3}$ rd of the work has been done. He employs Akhil who is 60% as efficient as Arun. How many days more would Akhil take to complete the work?

A) 24.5 days	B) 26.6 days
C) 25 days	D) 20 days

Answer & Explanation Answer: B) 26.6 days

Explanation:

Arun has completed $\frac{1}{3}$ rd of the work in 8 days

Then he can complete the total work in

$\frac{1}{3}$ ---- 8

1 ---- ?

= 24 days

But given Akhil is only 60% as efficient as Arun

Akhil = $\frac{1}{24} \times \frac{60}{100} = \frac{1}{40}$

Akhil can complete the total work in 40 days

Now, remaining 2/3rd of work can be completed in

1 ------ 40

$\frac{2}{3}$ ------ ?

= 26.66 days.

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Filed Under: Time and Work
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Q:

50 men can build a tank in 40days, but though they begin the work together, 5 men quit every ten days. The time needed to build the tank is ?

A) 50 days	B) 48 days
C) 47.5 days	D) 49 days

Answer & Explanation Answer: A) 50 days

Explanation:

50 men can build a tank in 40 days

Assume 1 man does 1 unit of work in 1 day

Then the total work is 50×40 = 2000 units

50 men work in the first 10 days and completes 50×10 = 500 units of work

45 men work in the next 10 days and completes 45×10 = 450 units of work

40 men work in the next 10 days and completes 40×10 = 400 units of work

35 men work in the next 10 days and completes 35×10 = 350 units of work

So far 500 + 450 + 400 + 350 = 1700 units of work is completed and

Remaining work is 2000 - 1700 = 300 units

30 men work in the next 10 days. In each day, they does 30 units of work.

Therefore, additional days required = 300/30 =10

Thus, total 10+10+10+10+10 = 50 days required.

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Filed Under: Time and Work
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Q:

Karthik read $\frac{6}{13}$ th of a book in 1st week and $\frac{5}{9}$ th of the remaining book in 2nd week. If there were 100 pages unread after 2nd week, how many pages were there in the book ?

A) 404	B) 415
C) 418	D) 420

Answer & Explanation Answer: C) 418

Explanation:

Let the total book be 1

Then, in the 1st week $\frac{6}{13}$ th of book is read

i.e remaining pages = $1 - \frac{6}{13} = \frac{7}{13}$

in 2nd week he read $\frac{5}{9}$ th of it

i.e $\frac{5}{9} \times \frac{7}{13} = \frac{35}{117}$
Remaining pages after 2nd week = $\frac{7}{13} - \frac{35}{117} = \frac{28}{117}$

But given remaining pages after 2nd week = 100

$\frac{28 x}{117} = 100$

--> x = 418

The total pages in the book are 418

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Filed Under: Decimal Fractions
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Q:

Who was sworn in as the 44th Chief Justice of India (CJI) recently ?

A) Justice Tirath Singh Thakur	B) Justice Atul Mehta
C) Justice Jagdish Singh Khehar	D) Justice T M Goyal

Answer & Explanation Answer: C) Justice Jagdish Singh Khehar

Explanation:

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Filed Under: Famous Personalities
Exam Prep: Bank Exams , CAT
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Q:

Who has been appointed as the new Executive Director (ED) of RBI in place of US Paliwal ?

A) Anjali Singh	B) Manish Tomar
C) Susheela Singh	D) Surekha Marandi

Answer & Explanation Answer: D) Surekha Marandi

Explanation:

Surekha Marandi has been appointed as the new Executive Director (ED) of Reserve Bank of India (RBI). She succeeded U S Paliwal, who retired on December 31, 2016.

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Filed Under: General Awareness
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Q:

Pointing towards Sweety, Sripad said, " I am the only son of her mother's son." How is Sweety related to Sripad ?

A) Niece	B) Aunt
C) Mother	D) Cousin

Answer & Explanation Answer: B) Aunt

Explanation:

Sweety's mother's son---Sweety's brother.
So, Sripad is the son of Sweety's brother or Sweety is Sripad's Aunt.

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Filed Under: Blood Relations
Exam Prep: Bank Exams , CAT
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Q:

Looking at a portrait of a man, Akhil said, "His mother is the wife of my father's son. Brothers and sisters I have none." At whose portrait was Akhil looking ?

A) His uncle	B) His nephew
C) His cousin	D) His son

Answer & Explanation Answer: D) His son

Explanation:

Since Akhil has no brother or sister, so he is his father's only son.
So wife of Akhil's father's son---Akhil's wife.
Thus, Akhil's wife is the man's mother or the man is Akhil's son.

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Filed Under: Blood Relations
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