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Mensuration – Quiz 9

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Mensuration – Quiz 9

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Mensuration is one of important topic in Quantitative Aptitude Section. In Mensuration – Quiz 9 article candidates can find questions with answer. By solving this questions candidates can improve and maintain, speed, and accuracy in the exams. Mensuration – Quiz 9 questions are very useful for different exams such as IBPS PO, Clerk, SSC CGL, SBI PO, NIACL Assistant, NICL AO, IBPS SO, RRB, Railways, Civil Services etc.

shape Q1

The diameter of Road Roller is 84 cm and its length is 150 cm. It takes 600 revolutions to level once on a particular road. Then what is the area of that road in [latex]{m}^{2}[/latex]?
    A. 2376 B. 2476 C. 2496 D. 2516

SPLessons

Area
[latex]600 \times 2 \times \frac {22}{7} \times \frac {42}{100} \times \frac {150}{100} = 2376 [/latex]

shape Q2

ABCD is a square of 20 m. What is the area of the least-sized square that can be inscribed in it with its vertices on the sides of ABCD?
    A. 120 [latex]{m}^{2}[/latex] B. 100 [latex]{m}^{2}[/latex] C. 200 [latex]{m}^{2}[/latex] D. 250 [latex]{m}^{2}[/latex]

SPLessons

It touches on midpoints on the sides of the square ABCD
Side= [latex]\sqrt {({10}^{2} + {10}^{2})} = \sqrt {200}[/latex]
Area = [latex] {Side}^{2}[/latex]
Area = [latex] \sqrt {200} \times\sqrt {200}[/latex]
Area = 200

shape Q3

A hollow cylindrical tube is made of plastic is 4 cm thick. If the external diameter is 18 cm and length of the tube is 59cm, then find the volume of the plastic?
    A. 10380 [latex]{cm}^{3}[/latex] B. 10384 [latex]{cm}^{3}[/latex] C. 104440 [latex]{cm}^{3}[/latex] D. 10444 [latex]{cm}^{3}[/latex]

SPLessons

R = 9, r = 5
V = [latex]\frac {22}{7} \times 59 (92 - 52) = 10384[/latex]

shape Q4

What is the radius of the circle whose area is equal to the sum of the areas of two circles whose radii are 20 cm and 21 cm?
    A. 27 m B. 28 m C. 29 m D. 25 m

SPLessons

π[latex]{R}^{2}[/latex] = π [latex]{{r}_{1}}^{2} + π {{r}_{2}}^{2}[/latex]
π[latex]{R}^{2}[/latex] = π([latex]{{r}_{1}}^{2} + {{r}_{2}}^{2}[/latex])
[latex]{R}^{2}[/latex] = (400 + 441)
R = 29

shape Q5

A well with 14 m diameter is dug up to 49 m deep. Now the soil taken out during dug is made into cubical blocks of 3.5m side each. Then how many such blocks were made?
    A. 22 B. 44 C. 88 D. 176

SPLessons

[latex]\frac {22}{7} \times {(7)}^{2} \times 49 = n \times {(\frac {7}{2})}^{3}[/latex]
n = 176

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