Mathmetics

ISBT Mathmetics for all banking PO,Clerk,IBPS PO,Railway,SSC,IAS,OAS Exams

Q31.
The ratio between the perimeter and the breadth of a rectangle is 5 : 1. If the area of the rectangle is 216 sq. cm, what is the length of the rectangle ?
1) 16 cm 2) 18 cm
3) 24 cm 4) Data Inadequate
5)None of these
Answer : 18 cm
Explanation :
2(l + b) /b = 5/1 or 2l + 2b = 5b
or  3b = 2l   b =2l/3 
Then, Area = 216 cm2
l x b = 216
l x2l/3  = 216 or l= 324
or l = 18 cm.
View Answer

Q32.
The area of a rectangular field is 460 sq. mtrs. If the length is 15% more than the breadth, what is the breadth of the rectangular field ?
1) 15 mtrs 2) 26 mtrs
3) 25 mtrs 4) 20 mtrs
5)None of these
Answer : 20 mtrs
Explanation :
View Answer

Q33.
The perimeter of a rectangular field is 480 meters and the ratio between its length and breadth is 5 : 3. What will be it's  area ?
1) 132 sq.m 2) 155 sq. m
3) 135 ares 4) 155 ares
5)None of these
Answer : 135 ares
Explanation :
View Answer

Q34.
1) 0 2) 1
3) 2 4) 3
5)None of these
Answer : 3
Explanation :
View Answer

Q35.
 
1) 21 2) 23
3) 25 4) 27
5)None of these
Answer : 23
Explanation : We  know that,       
View Answer

Q36.
1) 1 2) 2
3) 4 4) 5
5)None of these
Answer : None of these
Explanation :
View Answer

Q37.
a
1) z 2) x
3) c 4) c
Answer : z
View Answer

Q38.
A rectangular carpet has an area of 60m2. Its diagonal and longer side together equal to five times the shorter side. What is the length of the carpet ? 
1) 5m 2) 12m
3) 15m 4) 24m
5)None of these
Answer : 12m
Explanation : Given, lb = 60 m2
and d2 = l2 + b2      and d + l = 5b
or d = 5b - l
So, d2 = 25b2 + l2 - 10bl
or l2 + b2 = 25 b2 + l2 - 10 x 60
or 24 b2 = 600 
or b = 5
Therefore, l = 60/5 = 12 m
View Answer

Q39.
The length of a rectangular plot of land is three times as much as its breadth. A playground measuring 1200 sq. ft. occupies one-forth of the total area of the plot.What is the length of the plot ?
1) 40 2) 120
3) 360 4) Data Inadequate
5)None of these
Answer : 120
Explanation : Let, the length of and breadth of the rectangular plot of land  be 3x and x respectively.
Total area of the plot  = 4  x 1200 = 1200 sq. ft.
So, 3x x = 4800
or 3x2 = 4800
or x = 40 ft.
Therefore length =  3 x 40 =120 ft.
View Answer

Q40.
The sum of the squares of two positive integers is 208. If the square of the larger number is 18 times the smaller number, then what would be the difference of the larger and smaller numbers ?
1) 2 2) 3
3) 4 4) 6
5)None of these
Answer : 4
Explanation : Let, the larger and smaller numbers are x and y respectively.
x2 + y2 = 208 --------- (i)
x2 = 18y 
or x2 - 18y = 0 -------- (ii)

Equating from both equation,we get 
y2 +18y - 208 = 0
or y2 + 26y - 8y - 208 = 0
or y (y+26) - 8 (y + 26) = 0
or y = 8  so, x = 12
Therefore, x-y = 12 - 8 = 4 
View Answer