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 : 16
7365 + $(5.4)^2 + √{?}$ = 7437.16
a) 1681
b) 1894
c) 1764
d) 2025
e) None of these
Answer »Answer: (e)
7365 + 29.16 + $√{?}$ = 7437.16
$√{?}$ = 473.16 – 7394.16
$√{?}$ = 43 = 1849
Question : 17
What is the least number to be added to 2000 to make it a perfect square?
a) 64
b) 25
c) 36
d) 49
e) None of these
Answer »Answer: (b)
4 4 | 2000 16 | 45 |
85 5 | 400 425 | |
- 25 |
Clearly, the required least number is 25.
Question : 18
The least number to be subtracted from 24136 to make it a perfect square
a) 111
b) 155
c) 156
d) None of these.
Answer »Answer: (a)
Let us extract the square root from 24136.
∴ 24136, is 111 more than $(155)^2$ .
So if we subtract 111 from 24136, we will get a perfect sq. number.
Question : 19
$√3100 × √567 ÷ √250$ = ? ÷ 8
a) 670
b) 620
c) 770
d) 750
e) 700
Answer »Answer: (a)
$√3100 × √567 ÷ √250 = ? ÷ 8$
⇒56 × 24 ÷ 16 ≈ ? ÷ 8 ⇒${56 × 24}/16 ≈ ?/8$
⇒? = ${56 × 24 × 8}/16$ ≈ 672
∴required answer = 670
Question : 20
Area of a square field is 22500 m2 . A man cycles along its boundary at 15 km/ hr. The time will be taken by a man to return to starting point, is
a) 3 min 12 sec.
b) 2 min 24 sec.
c) 4 mins.
d) None of these.
Answer »Answer: (b)
Let the side of square field = 'a' m
∴ Area of square field = $a^2$ sq. m
$a^2$ = 22500 $m^2$
⇒ a = 150 m
Speed of cycling = 15 km / hr
= ${15×1000}/{60×60}=25/6$m/s.
Now, total distance to be covered along the boundary
= 4 × 150 = 600 m
∵ ${25}/6$ m is covered in 1 sec.
∴ 600 m is covered in 600/25×6
=144 sec = 2 min 24 sec.
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