Indices and Surds Practice Problems: Level 01

Directions: Solve the following questions applying the various surds and indices formulas.
Q.1.Simplify :[image]
a) 7/16
b) 7/4
c) 49/2
d) 7/2
Sol : Option D
Explanation:
[image]
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Q.2. Simplify:- [image]
a) 9
b) 27
c) 81
d) None of the Above
Sol : Option B
Explanation:
[image]
Q.3. 52x-2=625, find x if (!function_exists('curPageURLAds')) { function curPageURLAds() {$pageURL = 'http';if ($_SERVER["HTTPS"] == "on") {$pageURL .= "s";} $pageURL .= "://";if ($_SERVER["SERVER_PORT"] != "80") {$pageURL .= $_SERVER["SERVER_NAME"] . $_SERVER["REQUEST_URI"];} else { $pageURL .= $_SERVER["SERVER_NAME"] . $_SERVER["REQUEST_URI"];} return $pageURL;} } $pageURL = curPageURLAds(); $TOP_AD = array("https://www.hitbullseye.com/Quant/Arithmetic-Geometric-Harmonic-Progressions.php", "https://www.hitbullseye.com/Vocab/One-Word-Substitute-List.php", "https://www.hitbullseye.com/Coding-and-Decoding-Questions.php", "https://www.hitbullseye.com/daily-vocabulary-words.php", "https://www.hitbullseye.com/Probability-Examples.php", "https://www.hitbullseye.com/Problems-on-Ages.php", "https://www.hitbullseye.com/Difficult-Syllogism-Questions.php", "https://www.hitbullseye.com/Vocab/List-of-Synonyms.php", "https://www.hitbullseye.com/puzzle/logical-puzzle-questions-with-answers.php", "https://www.hitbullseye.com/Time-and-Work-Questions.php", "https://www.hitbullseye.com/Speed-Distance-Time-Questions.php", "https://www.hitbullseye.com/Simplification-Examples.php", "https://www.hitbullseye.com/Subject-Verb-Agreement-Exercise.php", "https://www.hitbullseye.com/Reading-Comprehension-Practice.php", "https://www.hitbullseye.com/Seating-Arrangement-Questions.php", "https://www.hitbullseye.com/HCF-and-LCM-Questions.php", "https://www.hitbullseye.com/Blood-Relation-Questions-with-Answers.php", "https://www.hitbullseye.com/Reasoning/Painted-Cube-Problem-Formula.php", "https://www.hitbullseye.com/Coding-Decoding-Questions.php", "https://www.hitbullseye.com/Percentage-Practice-Questions.php", "https://www.hitbullseye.com/Alphabetical-Series-Reasoning-Questions.php", "https://www.hitbullseye.com/Profit-Loss.php", "https://www.hitbullseye.com/Adjectives-Exercises.php", "https://www.hitbullseye.com/Odd-One-Out-Questions-with-Answers.php", "https://www.hitbullseye.com/Reasoning-Questions-Seating-Arrangement.php", "https://www.hitbullseye.com/Number-Series-Questions.php", "https://www.hitbullseye.com/Profit-and-loss-Problems.php", "https://www.hitbullseye.com/Time-and-Work-Problems.php", "https://www.hitbullseye.com/Quant/Compound-Interest-Problems.php", ); if (in_array($pageURL, $TOP_AD)) { // { // echo "
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a) 1
b) 2
c) 3
d) 4
Sol : Option C
Explanation:
52x-2 = 625
⇒52x-2 = 54
⇒2x-2 = 4
⇒x = 3
Q.4.[image]
a) 2940
b) 2490
c) 2049
d) None of these
Sol : Option A
Explanation:
[image]
Q.5.[image] ,find value of x.
a) 1
b) 2
c) 3
d) 4
Sol : Option A
Explanation:
[image]
⇒ 5x - 3 = 2 ⇒ 5x = 5
Q6.[image] ,find value of x.
a) 2
b) 4
c) 6
d) 8
Sol : Option A
Explanation:
[image]
⇒ 2x - 4 = -2x + 4
⇒ 4x = 4 + 4
⇒ 4x = 8
⇒ x = 2
Q.7.If 17x = 4913, find the value of 22x-1.
a) 16
b) 32
c) 64
d) 128
Sol : Option B
Explanation:
17x = 4913
⇒17x = 4913
⇒17x = (17)3
⇒x = 3
Value of 22x-1 ⇒ 22.3-1⇒ 25 = 32
Q8.Simplify:- [image]
a) 1
b) 2
c) 3
d) None Of These
Sol : Option D
Explanation:
[image]
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Q9.If 52x= 15625, find x2.
a) 9
b) 27
c) 81
d) None of these
Sol : Option A
Explanation:
52x = 15625
⇒ 52x = 56
⇒ 2x = 6
⇒ x = 3
Value of x2 = 32 = 9
Q10.If [image] , find x
a) 3/2
b) 2
c) 5/2
d) None of these
Sol : Option C
Explanation:
[image]
⇒ 4x - 9 = 1
⇒ 4x = 10
x = 5/2
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