Quantitative aptitude Question for all banking Bank PO,Clerk,IBPS PO,Railway,SSC,PSUs,IAS,OAS ,C-SAT Exams

Mathmetics

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

Q11.	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 :

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Q12.	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 :

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Q13.	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 d^{2 =} l² + b² andd + 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

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Q14.	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 x = 4800

or 3x² = 4800

or x = 40 ft.

Therefore length = 3 x 40 =120 ft.

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Q15.	With the help of a wire a square is made of area 225m2. If an equilateral is made with the same wire then what would be the length of the side of the triangle?

1)	15 m	2)	17.5 m
3)	24 m	4)	20 m
5)	None of these

Answer : 20 m
Explanation :

The area of a square is 225 m^2.

Sides of the square is = 15 m.

So, perimeter = 15 X 4 = 60 mts.

Given that perimeter of the equilateral triangle is also equal

3x = 60

or x = 60/3 = 20 mtrs

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Q16.	If the area of a triangle in which base x is equal to the area of a square with side x, then what is the altitude of the triangle ?

1)	x/2	2)	x
3)	2x	4)	3x
5)	None of these

Answer : 2x
Explanation :

Area of a square is x².

Area of the triangle is � x.

Let, the altitude be h.

x² = � xh � h = x h = 2x.

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Q17.	The length of a rectangle is 4mtrs more than the side of a square and the breadth of the rectangle is 4mtrs less than the same square. If the area of the square is 567m², what is the area of the rectangle ? SBI PO(Prelm.) -2015

1)	549m2	2)	545m2
3)	557m2	4)	559m2
5)	None of these

Answer : None of these
Explanation : Given area = 567m^{2 .} So, each side = 23.81m

Length = 23.81 + 4 = 27.81m

Breadth of the rectangle = 23.81 - 4 = 19.81m

Thus, area of the 27.81 x 19.81 = 550.91 = 551 m

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Q18.	The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ?

1)	450 ft	2)	825 ft
3)	750 ft	4)	900 ft
5)	None of these

Answer : 900 ft
Explanation :

The circumference of the front wheel is 30 ft and that of the rear wheel is 36 feet.

Let, the rear wheel make n revolutions. At this time, the front wheel should have made n+5 revolutions.

As both the wheels would have covered the same distance,

n x 36 = (n+5) x 30

or 36n = 30n + 150

or 6n = 150

or n = 25.

So, distance covered = 25 x 36 = 900 ft

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Q19.	If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter ?

1)	42 cm	2)	48 cm
3)	52 cm	4)	64 cm
5)	None of these

Answer : 52 cm
Explanation :

Let, the diagonals be PR and SQ and O is the centre ,such that PR = 24 cm and SQ = 10 cm

PO = OR = 24/2=12 cm SO = OQ = 10/2=5 cm PQ = QR = RS = SP = 122+52 =√144+25 = √169=13 cm

So, perimeter = 4 � 13 = 52 cm

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Q20.	An error 12% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square ?

1)	20.04 %	2)	24 %
3)	25.02 %	4)	25.44 %
5)	None of these

Answer : 25.44 %
Explanation :

Let, the correct value of the side of the square = 100

Then, the measured value = 100�(100+12)/100=102 (∵ error12% in excess)

Correct Value of the area of the square = 100 � 100 = 10000

Calculated Value of the area of the square = 112 � 112 = 12544

Error = 12544 - 10000 = 2544

So,percentage of Error = (2544/10000)�100 = 25.44%

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Mathmetics

Q11.

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 ?

Q12.

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 ?

Q13.

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 ?

Q14.

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 ?

Q15.

With the help of a wire a square is made of area 225m2. If an equilateral is made with the same wire then what would be the length of the side of the triangle?

Q16.

If the area of a triangle in which base x is equal to the area of a square with side x, then what is the altitude of the triangle ?

Q17.

The length of a rectangle is 4mtrs more than the side of a square and the breadth of the rectangle is 4mtrs less than the same square. If the area of the square is 567m², what is the area of the rectangle ? SBI PO(Prelm.) -2015

Q18.

The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ?

Q19.

If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter ?

Q20.

An error 12% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square ?

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Mathmetics

Q11.

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 ?

Q12.

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 ?

Q13.

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 ?

Q14.

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 ?

Q15.

With the help of a wire a square is made of area 225m2. If an equilateral is made with the same wire then what would be the length of the side of the triangle?

Q16.

If the area of a triangle in which base x is equal to the area of a square with side x, then what is the altitude of the triangle ?

Q17.

The length of a rectangle is 4mtrs more than the side of a square and the breadth of the rectangle is 4mtrs less than the same square. If the area of the square is 567m2, what is the area of the rectangle ? SBI PO(Prelm.) -2015

Q18.

The circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 36 ft long. What is the distance travelled by the cart, when the front wheel has done five more revolutions than the rear wheel ?

Q19.

If the diagonals of a rhombus are 24 cm and 10 cm, what will be its perimeter ?

Q20.

An error 12% in excess is made while measuring the side of a square. What is the percentage of error in the calculated area of the square ?

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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 ?

The length of a rectangle is 4mtrs more than the side of a square and the breadth of the rectangle is 4mtrs less than the same square. If the area of the square is 567m², what is the area of the rectangle ? SBI PO(Prelm.) -2015