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Q:

Find by how much percentage the average of first 10 odd numbers (starting from 1) is greater than the last term ?

A) 991/16 %	B) 900/19 %
C) 874/13 %	D) 719/17 %

Answer & Explanation Answer: B) 900/19 %

Explanation:

First ten odd numbers form an arithmetic progression of the form
1,3,5,7,9......
here a = first term = 1
d = common difference = 2
Average of first n numbers = (2a + (n - 1)d)/2
n th term of the AP = a + (n - 1)d
Substituting a = 1, d = 2 and n = 10 in the above formulas
average of first 10 numbers = 10
10 th term of the AP = 19
Therefore average of first 10 terms is 19 - 10 = 9 greater than
the last term. Hence the average is greater than the sum by
9/19 X 100 = 900/19 %

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Filed Under: Arithmetical Reasoning
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Q:

An intelligent boy is doing a jigsaw with 275 pieces. Each day that he fits pieces together there are fewer pieces left, and it is reasonable to assume that he fits more pieces each day because the number left to sort out diminishes progressively. Hence he is able to fit an extra piece as each day goes by. On the first day he fits 20 pieces. How many days does it take for him to complete the puzzle ?

A) 11 days	B) 15 days
C) 13 days	D) 16 days

Answer & Explanation Answer: A) 11 days

Explanation:

Let 'n' number of days it take to complete.

we know that sum of n number= n/2[2a+(n-1)d]
where a=20,d=1;
n/2[2x20+(n-1)1]=275
n[n+39]=550
$n^{2}$ + 39n - 550 = 0
$n^{2}$ + 50n - 11n - 550 = 0
(n-11) (n-50) = 0
n-11 = 0;
n = 11(Days).

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Filed Under: Arithmetical Reasoning
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Q:

A man saves Rs. 200 in each of the first three months of his service. In each of the subsequent months his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs. 11040 after ?

A) 19 months	B) 21 months
C) 18 months	D) 20 months

Answer & Explanation Answer: B) 21 months

Explanation:

Total savings = 200 + 200 + 200 + 240 + 280 + ... to n months = 11040

= 120 + 80 + 160 + 40 + 200 + 240 + ....n terms
= 40 + 80 + 120 + 160 + 200 + 240 + ...n terms
= n/2[2a + (n-1)d] + 80 + 40 = 11040
= n/2[240 + (n-1)40] = 10920
= n[6+n-1] = 546
= n[n+5] = 546
n = 21

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Filed Under: Odd Man Out
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Q:

The marked price of a Watch is Rs.8400. It is to be sold at Rs.6896 at two successive discounts. If the first discount is 12%, the second discount is ?

A) 7.2 %	B) 9.14 %
C) 7.13 %	D) 6.709 %

Answer & Explanation Answer: D) 6.709 %

Explanation:

(100-x)% of 88% of 8400 = 6896

=> $\frac{100 - x}{100} (\frac{88}{100} x 8400) = 6896$

=> x = 6.709%

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Filed Under: Percentage
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Q:

Who became the first Asian women to sail around the world ?

A) Golda Meir	B) Ujwala Patil
C) Cleopatra	D) Sirimavo Bandaranaike

Answer & Explanation Answer: B) Ujwala Patil

Explanation:

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Filed Under: Famous Personalities
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Q:

The first effective vaccine against polio was prepared by ?

A) Robert Edwards	B) James Simpson
C) H Gibbon	D) Jonas E Salk

Answer & Explanation Answer: D) Jonas E Salk

Explanation:

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Filed Under: Inventions
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Q:

Each of the following series of statements is followed by four sets. Identify the set that is logically consistent.
(a) The gap between the average starting salaries of teachers and those of other professionals has shrunk in recent years.
(b) The average age of first year teachers is same as it was in 1975.
(c) Starting teachers are no longer underpaid.
(d) The extent of a persons formal education is a measure by which to determine his level of salary.
(e) Over the last few years, the average starting salaries of other professionals have increased by 20%

A) e,b,d	B) e,d,b
C) a,c,b	D) a,e,c

Answer & Explanation Answer: D) a,e,c

Explanation:

The statements a,e,c are logically sequenced.

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Filed Under: Theme Detection
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Q:

At 6′o clock a clock ticks 6 times. The time between first and last ticks is 30 seconds. How long does it tick at 12′o clock ?

A) 66 sec	B) 55 sec
C) 36 sec	D) 24 sec

Answer & Explanation Answer: A) 66 sec

Explanation:

For ticking 6 times, there are 5 intervals.

Each interval has time duration of 30/5 = 6 secs

At 12 o'clock, there are 11 intervals,
so total time for 11 intervals = 11 x 6 = 66 secs.

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Filed Under: Clocks
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