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What is the sum of the first 13 terms of an arithmetic progression if the 5th term is 1 and the 8th term is -17?
T 5 = 1
A+4d=1 (i)
And
T s = - 17
A+7d=-17 (ii)
On solving (i) and (ii)
A=25 and d=-6
S 13 = 13/2[2 x 25 + (13-1)(-6)] = - 143
A fraction becomes 6/5 when 5 is added to its numerator and becomes 1/2 when 4 is added to its denominator. What will be the double value of the fraction?
Let the fraction be x/y
(x+5)/y=6/5
5x+25=6y
6y – 5x=25 (i)
x/(y+4)=1/2
2x=y+4 (ii)
Solving (i) and (ii)
X=7 and y=10
So value of double fraction is 7/5
Amar can complete a work in 25 days and Pulkit can complete the same work in 20 days. Pulkit alone worked at it for 10 days and then left the work. In how many days will Amar alone complete the remaining work?
Let amar alone can complete the remaining work in x days
So
x/25+10/20=1
x= 12.5 days
What is the reflection of the point (-4, 3) in the line x = -2?
What is the discount percentage offered on a test series having marked price Rs 2150 being sold at Rs 1892?
Percentage discount= [(2150-1892)/2150 ]×100
=12 %
Rs 60500 is divided among W, X and Y such that W receives 2/9 as much as X and Y together and X receives 3/7 as much as W and Y together. What is the share of Y (in Rs)?
W=2/9 (X+Y) , X+Y=9/2 W so
W+9/2 W=60500
11W=60500×2W=rs.11000
X=3/7 (W+Y)
W+Y=7X/3
X+7/3 X=60500
X=rs18150
Y=60500-11000-18150=rs31350
Directions For Questions
The bar chart given below shows the sales of 3 types of Sports cars in the Indian automotive industry over 4 years. All the sales figures have been shown in terms of ‘000 units
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Which of the following type of car has the highest increase in sales from 2009 to 2012?
Increase in sales from 2009 to 2012 in hatchback
= 800 – 500
= 300
Increase in sale from 2009 to 2012 in sedan
= 625 – 450
= 175
Increase in sale from 2009 to 2012 in SUV
= 750 – 150
= 600
So SUV has highest increase
What is the simple annual growth rate (in %) in the sales of SUV from 2009 to 2012?
Growth from 2009 to 2012 = 750 – 150 = 600
Annual growth rate for SUV
600/(150×3)×100=133.33 %
What is the respective ratio of total sales of Sedan and total sales of SUV over the period of 4 years?
Total sales of sedan = 450+500+575+625=2150
Total sale of SUV=150+250+400+750=1550
Required ratio=2150/1550=43/31
If all the 3 categories increase by same rate in 2013 over 2012 as they did in 2012 over 2011, then what will be the total approximate sales (in ‘000 units) of all the 3 categories taken together in year 2013?
Growth rate for hatchback in 2012 over 2011
(800-650)/650×100=23%
Growth rate for sedan in 2012 over 2011
(625-575)/575×100=9%
Growth rate for SUV in 2012 over 2011
(750-400)/400×100=87.5%
Total sales in 2013
123/100×800+109/100×625+187.5/100×750=3069
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