How Reema is related to Seema ?
I. Seema’s brothers father’s brother is Jai.
II. Jai’s sisters mother is Reema.
From I => Seema’s brother’s father brother is Jai = Jai is uncle of Seema [fathers brother]
From II => Jai’s sister = [Seema fathers sister’s] => mother => Reema => Grandmother.
Reema is Grandmother of Seema.
What is the share of B in a profit of Rs.10, 000 ?
I. There are three partners in the business.
II. Share of B is 20% of the amount received by A and C together.
From I => Providing information regarding the number of partners in the business.
From II => Share of B is 20% of the share of A and C together = 1/6th of the total profit.
Therefore share of B in the profit of Rs.10, 000 is = 10, 000 x 1/6 = 1666.66
Who is the winner in an election ?
I. A defeated B by 10,000 votes.
II. B defeated C by 5,000 votes.
None of the statements, as information regarding the number of contestants is not given.
What is the sum of two numbers ?
I. Difference between the squares of that numbers is 32.
II. Difference between the numbers is 2.
Both I and II are required:
Sum of two numbers = Difference between the squares of the numbers / Difference between the numbers
Let the numbers be ‘a’ and ‘b’
From the rule = a + b =
$$ \frac{a^2 \ - \ b^2}{a \ - \ b} \ = \ \frac{32}{2} \ = \ 16 $$
the numbers are = 9 and 7
What is the sum of two numbers ?
I. Difference between the squares of the numbers is 81.
II. They are consecutive numbers.
From both I and II
Difference between the squares of any two consecutive numbers is equal to the sum of that numbers.
The numbers are 40 and 41 => 41^{2} = 1681, 40^{2} = 1600 => 1681 – 1600 = 81
What is the speed of a train ?
I. It covers a bridge of 300 meters in 15 seconds.
II. Time taken by the train to cross a pole is 5 seconds.
From both I and II
Time taken to cross only the length of the bridge [300m] is
Time taken to cross the bridge – time taken to cover length of the train.
15 – 5 = 10 seconds. Therefore the train takes 10 seconds to cover 300 m
Speed of the train = 300/10 = 30 m/sec.
Speed of the train per hour = 30 x 18/5 = 108 km/hr
In how many days 5 men can complete a work ?
I. 8 women who are as capable as 7 men, can complete the same work in 10 days.
II. 10 boys who are as capable as 7 men, can complete the work in 12 days.
Convert the capacity into men and
$$ From \ I \ => \ \frac{7 \ X \ 10}{5} \ = \ \frac{70}{5} \ = \ 14 \ days $$
OR
$$ From \ II \ => \ \frac{7 \ X \ 12}{5} \ = \ \frac{84}{5} \ = \ 16.8 \ days $$
What is the area of a circle ?
I. Its diameter is 14 cm.
II. Its circumference is 132 cms.
Area of a circle = πr^{2}
From I => radius = Diameter/2 = 14/2 = 7 cm
$$ => \ area \ = \ \frac{22}{7} \ X \ 7 \ X \ 7 \ = \ 22 \ X \ 7 \ = \ 154 \ sqcm $$
From II => Circumference of a circle = 2πr = 132 cm
$$ 2 \ X \ \frac{22}{7} \ X \ r \ = \ 132cm \ => \ r \ = \frac{132 \ X \ 7}{2 \ X \ 22} \ = \ 21 \ cm $$
$$ Area \ = \ 2 \ X \ \frac{22}{7} \ X \ 21 \ X \ 21^3 $$
= 2 x 22 x 21 x 3 = 1386 sqcm
The total distance covered by a man in 6 hours is ?
I. He travelled to the place at 4 Km/hr and returned at 6 Km/hr.
II. Average speed was 9 Km/hr.
From I => Let distance be ‘x’ =
$$ \frac{x}{4} \ + \ \frac{x}{6} \ = \ 6 \ => \ \frac{3x \ + \ 2x}{12} \ = \ 6hrs $$
5x = 72 => x or distance = 14.4 km
From II => Distance covered [Speed x Time] = 9 km/hr x 6hrs = 54km
What is the rate of interest ?
I. Amount payable after 3 years will be Rs.15, 000.
II. Amount payable after 5 years will be Rs.17, 000, and after 6 years will be Rs.18000.
Though it is not mentioned whether it is simple interest or compound interest.
From I and II total amount payable after 3 years is 15000, after 5 years it is 17000, after 6 years it is 18000.
Every year amount payable is increasing by Rs.1000 constantly.
Therefore we can conclude that interest payable according to Simple Interest.
Principal = 18000 – 6000 [interest for 6 years] = 12000
$$ Rate \ of \ interest \ = \ \frac{1000}{12000} \ X \ 100 \ = \ 8.33\% $$
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