Mathematics - Squares and Square Roots
Exam Duration: 45 Mins Total Questions : 25
If \(\sqrt { 2+\sqrt { x } } \)=3,then x =____
- (a)
1
- (b)
\(\sqrt { 7 } \)
- (c)
7
- (d)
49
If\(\frac { \sqrt { 0.2304 } +\sqrt { 0.1764 } }{ \sqrt { 0.2304 } -\sqrt { 0.1764 } } \) then the value of x is____
- (a)
0.8
- (b)
15
- (c)
12.5
- (d)
0.16
Find the least number which must be substracted from 7230 to make it a perfect square
- (a)
15
- (b)
12
- (c)
5
- (d)
10
If \(\sqrt { 1+\frac { 25 }{ 144 } } =1+\frac { x }{ 12 } \)then x is_____
- (a)
5
- (b)
13
- (c)
1
- (d)
17
Square number can have_____at the end
- (a)
Odd number of zeroes
- (b)
Even number of zeroes
- (c)
Both (A) and (B)
- (d)
None of these
A number is multiplied by\(2\frac { 1 }{ 3 } \) times Itself and then 61 is subtracted from the product obtained. If the final result is 9200, then the number is______
- (a)
36
- (b)
63
- (c)
67
- (d)
37
The product of two numbers is 1296.If one number is 16 times the other find the numbers
- (a)
9, 144
- (b)
8, 128
- (c)
12, 192
- (d)
None of these
The least positive integer with which 661.25 should be multiplied so that the product is a perfect square is______
- (a)
4
- (b)
5
- (c)
Both (A) and (B)
- (d)
None of these
The square root of\(\frac { 36 }{ 5 } \)correct upto two decimal places is______
- (a)
2.68
- (b)
2.69
- (c)
2.67
- (d)
2.66
The value of\(\sqrt { 248+\sqrt { 52+\sqrt { 144 } } } \)is_______
- (a)
14
- (b)
12
- (c)
16
- (d)
13
If the three numbers are in the ratio 2:3:5 so that the sum of their squares is 608.FInd the numbers rrspectively
- (a)
8, 12,20
- (b)
12,8,20
- (c)
20, 8, 12
- (d)
20, 12,8
Square root of\(\frac { 0.081 }{ 0.0064 } \times \frac { 0.484 }{ 6.25 } \times \frac { 2.5 }{ 12.1 } \)is____
- (a)
0.45
- (b)
0.75
- (c)
0.95
- (d)
0.99
The greatest 6-digit number, which is a perfect square is_____
- (a)
998001
- (b)
995001
- (c)
997001
- (d)
996001
Find the value of \(\left( \sqrt { \frac { 625 }{ 9801 } } +\sqrt { \frac { 576 }{ 1089 } } \right) \times \left( \sqrt { \frac { 121 }{ \sqrt { 21025+144 } } } \right) \)
- (a)
\(\frac { 97 }{ 153 } \)
- (b)
\(\frac { 89 }{ 51 } \)
- (c)
\(\frac { 101 }{ 99 } \)
- (d)
\(\frac { 69 }{ 33 } \)
Find the square root of the following correct upto two decimal places
(i)\(4\frac { 5 }{ 7 } \) (ii)\(9\frac { 9 }{ 13 } \)
- (a)
(i) (ii) 2.52 3.18 - (b)
(i) (ii) 2.28 2.98 - (c)
(i) (ii) 2.17 3.11 - (d)
(i) (ii) 2.17 2.98
The area of a square field is 80 sq. m. The length of each side of the field, is______
- (a)
8.96 m
- (b)
10.26 m
- (c)
13.54 m
- (d)
12.26 m
A certain number of men went to a hotel. Each man spent as many rupees as one-fourth of the men. If the total bill paid was Rs.20449, then how many men visited the hotel?
- (a)
286
- (b)
284
- (c)
281
- (d)
283
A general arranges his soldiers in rows to form a perfect square. He finds that in doing so, 60 soldiers are left out. If the total number of soldiers be 8160, find the number of soldiers in each row.
- (a)
81
- (b)
90
- (c)
80
- (d)
91
A group of students decided to collect as many paise from each member of the group as is the number of members. If the total collection amounts to Rs.59.29, the number of members in the group is____
- (a)
57
- (b)
67
- (c)
77
- (d)
87
A housing society has been allotted a square piece of land measuring 2550.25 sq. m. What is the side of the plot?
- (a)
50.25 m
- (b)
50.5 m
- (c)
50.65 m
- (d)
50.05 m
Find the value of \(\sqrt { 10+\sqrt { 25+\sqrt { 108+\sqrt { 154 } +\sqrt { 225 } } } } +\left( \sqrt { \frac { 225 }{ 729 } } -\sqrt { \frac { 25 }{ 144 } } \right) +\sqrt { \frac { 16 }{ 81 } } \)
- (a)
\(\frac { 69 }{ 16 } \)
- (b)
\(\frac { 54 }{ 7 } \)
- (c)
\(\frac { 31 }{ 3 } \)
- (d)
\(\frac { 108 }{ 13 } \)
Find the value of P, Q, Rand S.
(i) Square root of 1354.24 is P
(ii) Square root of 151.29 is Q
(iii) Square root of 7208.01 is R
(iv) Square root of 1789.29 is S
- (a)
P Q R S 38.2 12.9 83.4 41.3 - (b)
P Q R S 36.8 11.3 86.9 41.7 - (c)
P Q R S 35.4 13.3 85.1 42.9 - (d)
P Q R S 36.8 12.3 84.9 42.3
Which of the following options is TRUE?
- (a)
Square of any odd number can be expressed as the sum of two consecutive positive integers
- (b)
Square of any natural number can be expressed as the sum of successive odd numbers starting from 1
- (c)
For any natural number m > 1, 2m, m2-1 and m2 + 1 form pythagorean triplets
- (d)
All of these
Study the statements and choose the correct option.
Statement-1: The square root of certain decimals are obtained by first changing the decimals into fractions with perfect squares as their numerators and denominators
Statement-2 : (26.1)2 lies between 400 and 900
- (a)
Both Statement-1 and Statement-2 are true
- (b)
Statement-1 is true but Statement-2 is false
- (c)
Statement-1 is false but Statement-2 is true.
- (d)
Both Statement-1 and Statement-2 are false.
State 'T' for true and 'F' for false.
(i) The square root of 0.9 is 0.3.
(ii) The square root of a perfect square of n digits will have\(\left( \frac { n+1 }{ 2 } \right) \) digits, if n is odd.
(iii) All numbers of a pythagorean triplet are odd.
(iv) There are 200 natural numbers between 1002 and 1012.
- (a)
(i) (ii) (iii) (iv) T F T F - (b)
(i) (ii) (iii) (iv) F T F T - (c)
(i) (ii) (iii) (iv) T T F F - (d)
(i) (ii) (iii) (iv) F T T F