The area of the quadrant of a circle whose circumference is 22 cm is
A house worth Rs 150000 is sold by X at 5% profit to Y. Y sells the house back to X at a 2% loss. Then, in the entire transaction
CP = Rs 150000
Overall gain percentage
= 5 - 2 - 10 100 = 2.9%
⇒ 150000 x 29/ 1000 = Rs 4350 gain
Which fraction comes next in the sequence 1/ 2 , 3 /4 , 5/ 8 , 7/ 16 , ?
Clearly, the numerators of the fractions in the given sequence form
the series 1,3,5,7 in which each term is obtained by adding 2 to the previous terms
The denominators of the fractions form the series
2, 4, 8, 16 i.e. 21, 22, 23, 24
So, the numerator of the next fraction will be (7 + 2) i.e. 9
and the denominator will be 25
Thus, the next term is 9 32
A property tax increase was proposed by a municipal corporation and it was observed that 40% of the property owners favoured it while 80% of the nonowners of property favoured it. If 70% of voters are property owners, what is the probability that a voter selected at random would be the one favouring the increase?
Favourable number of cases
= 40 x 70 /100 + 30 x 80/ 100
= 28 + 24 = 52
∴ Required probability
= 52 100 = 0.52
The ratio of the monthly income to the savings of a family is 9:2. If the monthly income of the family is Rs 2700, then its monthly expenditure will be
Income/ Savings
= 9 2
⇒ 2700 /x = 9/ 2 ⇒ x = 600
Hence, Expenditure = 2700 - 600 = Rs 2100
In each of these questions two equations numbered I & II are given. You have to solve both the equations and give answer
I. a2 + 5a + 6 = 0
II. b2 + 3b + 2 = 0
I. a2 + 5a + 6 = 0
⇒ a2 + 2a + 3a + 6 = 0
⇒ a (a + 2) + 3 (a + 2) = 0
⇒ (a + 2) (a + 3) = 0
⇒ a = -2 or -3
II. b2 + 3b + 2 = 0
⇒ b2 + 2b + b + 2 = 0
⇒ b (b + 2) + 1 (b + 2) = 0
⇒ (b + 1) (b + 2) = 0
⇒ b = -1 or -2
a ≤ b
In each of these questions two equations numbered I & II are given. You have to solve both the equations and give answer
I. 2a2 + 3a + 1 = 0
II. 12b2 + 7b + 1 = 0
I. 2a2 + 3a + 1 = 0
⇒ 2a2 + 2a + a + 1 = 0
⇒ 2a (a + 1) + 1 (a + 1) = 0
⇒ (a + 1) (2a + 1) = 0
⇒ a = -1 or - 1212
II. 12b2 + 7b + 1 = 0
⇒ 12b2 + 3b + 4b + 1 = 0
⇒ 3b (4b + 1) + 1 (4b + 1) = 0
⇒ (3b + 1) (4b + 1) = 0
⇒ b = - 1/3 or - 1/4
a < b
By how much amount are the sales in 1989 more than that in 1987 ?
The sales in 1987 are how many times to that in 1988 ?
In 1989 sales = 420 thousand
1987 sales = 320 thousand
So sales in 1989 more than in 1987 = 420000 - 320000 = 100000
Study the following graphs carefully to answer the questions given below it.
What is the amount (in Rs.) spent by Company 'A' on Electricity ?
Study the following graphs carefully to answer the questions given below it.
How much (in Rs.) have both companies together spent on raw material ?
Read the following information carefully and answer the questions based on it.
In 6 educational years, number of students taking admission and leaving from the 5 different school which are founded in 1990 are given below
What is the average number of students studying in all the five schools in 1992 ?
Total no. of students studying in all schools in 1992
= (1025 + 230 + 190 + 950 + 350 + 225 + 1100 + 320 + 300 + 1500 + 340 + 300 + 1450 + 250 + 280) - (120 + 110 + 150 + 115 + 130 + 150 + 150 + 160 + 125 + 130)
= 8810 - 1340 = 7470
∴ Average = 7470/5 = 1494
Read the following information carefully and answer the questions based on it.
In 6 educational years, number of students taking admission and leaving from the 5 different school which are founded in 1990 are given below
What was the number of students studying in School B in 1994 ?
Number of students studying in school B in 1994
= 950 + (350 - 150) + (225 - 115) + (185 - 110) + (200 - 90)
= 950 + 200 + 110 + 75 + 110 = 1445
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