Coachify CAT Club
In a batch of 50 students has ratio of Boys to Girls as 4:6. Average marks of Girls are 60 and Average marks of the batch is 62. Average Marks of Boys will be:
Text Explanation:
Let the number of boys be 4x and number of girls be 6x
Given, 4x+6x = 50
x = 5
Number of boys = 20 and number of girls = 30
Average marks of girls = 60
Total marks scored by girls = 60$\times$30 = 1800
Average marks score by batch = 62
Total marks scored by batch = 62$\times$50 = 3100
Marks scored by boys = 3100 - 1800 = 1300
Average marks of boys = $\frac{1300}{20}$ = 65
Answer is option D.
Four sheep farmers rented a pasture, Anil grazed his 24 sheep for 3 months, Bimal 10 sheep for 5 months, Champak 35 sheep for 4 months and Damodar 21 sheep for 3 months,. If Anil’s share of rent is Rs. 720, find the total rent of the pasture :
A : B : C : D = 24($\frac{3}{12}$) : 10($\frac{5}{12}$) : 35($\frac{4}{12}$) : 21($\frac{3}{12}$)
A : B : C ; D = 6 : $\frac{25}{6}$ : $\frac{35}{3}$ : $\frac{21}{4}$
A : B: C : D = 72 : 50 : 140 : 63
Anil's rent = $\frac{72}{72+50+140+63}\times$ Total rent
720 = $\frac{72}{325}\times$ T
T = Rs 3,250
Answer is option B.
A copper wire having length of 243m and diameter 4 mm was melted to form a sphere. Find the diameter of the sphere :
Volume of copper wire melted will be equal to volume of sphere.
Volume of copper wire = Area $\times$ length = $\pi\ \left(\frac{2}{10}\right)^2\times\ 24300\ cm^3$
Let the radius of sphere be r
$\frac{4}{3}\pi\ r^{3\ \ }=\ \pi\ \left(\frac{2}{10}\right)^2\times\ 24300\ cm^3$
$r^3$ = 729
r = 9 cm
Diameter of sphere = 2(9) = 18 cm
The following pie chart embodies the details about the per cent production by seven different companies A-G with the total production for all companies at 1500 units.(A) Companies A & G are producing more than 500 units(B) Companies B & F are producing less than 250 units(C) Companies C & E account for 705 units(D) Companies D & G are producing less than 200 units(E) Companies E, F & G account for 545 unitsChoose the correct answer from the options given below:
Total production = 1500 units
A) A and G production = 240 + 180 = 420 (not greater than 500)
B) B and F production = 165 + 75 = 240 ( is less than 250)
C) C and E production = 315 + 390 = 705
D) D and G production = 135 +180 = 315 ( not less than 200)
E) E, F and G production = 390 + 75 + 180 = 645 ( not equal to 545)
Only (B) and (C) are true.
