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Q:

Find the next number in the series 125, 80, 45, 20, ....

A) 5	B) 15
C) -5	D) 10

Answer & Explanation Answer: A) 5

Explanation:

The pattern is -45, -35, -25, -15

The next number = 20-15= 5

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Filed Under: Numbers
Exam Prep: Bank Exams , CAT
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Q:

Find the next number in the series 5, 8, 16, 19, 57, 60, .....

A) 188	B) 256
C) 240	D) 180

Answer & Explanation Answer: C) 240

Explanation:

The pattern is x1+3, x 2, x1+3, x 3, x1+3, x 4

The next number=60x4=240

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Filed Under: Number Series
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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
Exam Prep: CAT , Bank Exams
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Q:

Find the next number in the series 64, 2, 32, 72, 3, 24, 76, 4, 19, ....., 5, 15.6

A) 80	B) 78
C) 72	D) 70

Answer & Explanation Answer: B) 78

Explanation:

The pattern is 2x32=64, 3x24=72, 4x19=76

The next number = 5x15.6=78

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Filed Under: Number Series
Exam Prep: Bank Exams , CAT
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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:

In a competitive examination, the average marks for the entire examination was 60 marks. If 20% of the applicants scored 85 marks and 25% scored 95 marks. What was the average marks of the remaining applicants in the examination ?

A) 60	B) 52
C) 45	D) 35

Answer & Explanation Answer: D) 35

Explanation:

Let the total applicants be 100

Then, 20% got 85 marks

i.e 20 x 85 = 1700

and 25% got 95 marks

i.e 25 x 95 = 2375

Now, the remaining applicants are 55 and let the average marks scored by them be x.

Therefore, 2375 + 1700 + 55x = $60 \times 100$

6000 - 4075 = 55x

55x=1925

x=35.

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Filed Under: Percentage
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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
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