# Square and Cube Root- Aptitude Questions and Answers - in Hindi

 Find the least number which when multiplied with 74088 will make it a perfect square ? सब से छोटी संख्या ज्ञात करें जो 74088 के साथ गुणा होने पर इसे एक पूर्ण वर्ग बना देगा? A) 42 B) 44 C) 46 D) 48 Correct Answer :42 Explanation :74088 = 2 * 2 * 2 * 3 * 3 * 3 * 7 * 7 * 7 = (2*2) * (3*3) * (7*7) * (2*3*7) Least number which should be multiplied to 74088 to make it a Perfect square = 2 * 3 * 7 = 42 Find the least number by which 175760 be devided to make it a perfect cube ? सब से छोटी संख्या ज्ञात करें जिसके द्वारा 175760 को विभाजित करने पर एक पूर्ण घन प्राप्त होता है? A) 10 B) 20 C) 100 D) 5 Correct Answer :10 Explanation :175760 = 24 x 5 x 13 3 = 23 x 2 x 5 x 133 To make perfect cube, it must be divided by 2 x 5 = 10 √(248 + √(52+ √144)) = ? A) 14 B) 16 C) 16.6 D) 18.8 Correct Answer :16 Explanation :√(248 + √(52 + √144)) => √(248 + √(52 + 12)) => √(248 + √64) => √(248 + 8) => √256 => 16 250 / √? = 10 A) 25 B) 250 C) 625 D) 2500 Correct Answer :625 Explanation :Let 250 / √x = 10. Then √x= 250 / 10 = 25 Thus, x = 625 √(4/3) - √(3/4) = ? A) 1/2√3 B) - 1/2√3 C) 1 D) 2√3 Correct Answer :1/2√3 Explanation :√(4/3) - √(3/4) = 2/√3 - √3/2 = (4 - 3)/2√3 = 1/2√3 If √2n = 64, then the value of n is ? यदि √2n = 64, तो n का मान है? A) 2 B) 4 C) 6 D) 12 Correct Answer :12 Explanation :√2n = 64 ⇒ 2n/2 = 26 ⇒ n/2 = 6 ⇒ n = 12 (√5 - √3)/ (√5 + √3) is equal to ? (√5 - √3)/ (√5 + √3) बराबर है? A) 4 + √15 B) 4 - √15 C) 1/2 D) 1 Correct Answer :4 - √15 Explanation :(√5 - √3)/ (√5 + √3) = (√5 - √3) / (√5 + √3) = (√5 - √3)2 / (5 - 3) = (5 + 3 - 2√5 x 3) / 2 = 2 (4 - √15) / 2 = (4 - √15) 3√(0.027/0.125) = ? A) 0.6 B) 0.3 C) 0.5 D) 0.2 Correct Answer :0.6 Explanation :3√(27*1000/125*1000) => 3√(27/125) => 3√27 / 3√125 => 3√(33) / 3√(53) =>3/4 => 0.6 The largest three digit number which is a perfect cube is? तीन अंकों की सबसे बड़ी संख्या कोन सी है जो एक पूर्ण घन है? A) 986 B) 729 C) 981 D) 864 Correct Answer :729 Explanation :93 = 729 and 103 = 1000 So the required number = 729 3√(√ 729) = ? A) 9 B) 3 C) 8 D) 6 Correct Answer :3 Explanation :3√(√ 729) = 3√(√ (272))= 3√27 => 3√(33) = 3 What is the smallest number by which 1400 be divided to make it a perfect cube? सब से छोटी संख्या ज्ञात करें जिसके द्वारा 1400 को विभाजित करने पर एक पूर्ण घन प्राप्त होता है? A) 130 B) 145 C) 160 D) 175 Correct Answer :175 Explanation :1400 = 23 * 52 * 7 To make it a perfect cube, it must be divided by 52 *7 = 175 Find the least number by which 175760 be multiplied to make it a perfect cube? सब से छोटी संख्या ज्ञात करें जिसके 175760 को गुणा करने पर एक पूर्ण घन प्राप्त किया जा सकता है? A) 100 B) 160 C) 80 D) 27 Correct Answer :100 Explanation :175760 = 24 *5 *133 To make it a perfect cube it must be multiplied by 22 * 52 = 100.