Squareroots & Cuberoots Model Questions Set 1 Practice Questions Answers Test with Solutions & More Shortcuts

Squareroots & Cuberoots PRACTICE TEST [1 - EXERCISES]

Squareroots & Cuberoots Model Questions Set 1

Question : 11

The square of a natural number when subtracted from its cube results in 48. The number is

a) 5

b) 6

c) 4

d) 8

Answer: (c)

Let the natural number be 'x'.

∴ $x^3-x^2$=48

⇒$x^2$(x-1)=48

⇒$4^2$(4-1)=48

∴ x= 4

Question : 12

The area of a circular play ground is ${3168}/{7}m^2$ . The diameter of the ground is

a) 22 m

b) 12 m

c) 24 m

d) 6 m

Answer: (b)

Area = $πr^2=3168/7$

$r^2 = {3168}/7×7/{22}$=144

$r =√144$ = 12m

Diameter = 24 m

Question : 13

You have a rectangular frame that is 40 cm by 60 cm. Can you put a square picture that has an area of 800 $cm^2$ completely inside the frame?

a) No

b) Yes

c) Can't say

d) Data insufficient

Answer: (b)

Question : 14

The three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. The numbers are,

a) 4, 6, 8

b) 6, 9, 12

c) 12, 18, 24

d) 14, 21, 28

Answer: (d)

Let the ratio of numbers be x.

∴ numbers are 2x, 3x & 4x.

∴$(2x)^3+(3x)^3+(4x)^3$=33957

⇒$8x^3+27x^3+64x^3$=33957

⇒$99x^3$=33957

⇒$x^3=33957/99$

⇒$x^3$=343⇒x=7

∴ Numbers are 2×7,3×7,4×7

i.e. 14, 21, 28

Question : 15

$(74 × √676)- (42 × √{?})$ = 496

a) 1296

b) 1024

c) 1156

d) 1089

e) None of these

Answer: (c)

(74 × $√{676}) - 42 × √{?} = 496$

$√{?} =(74 × 26 - 496)/42 = 1428 ÷ 42 = 34= (34)^2$ = 1156

IMPORTANT quantitative aptitude EXERCISES

Squareroots & Cuberoots Model Questions Set 1 Online Quiz

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