DSSSB 2020 Cube Roots Questions : 28th January 2020

Maths Questions

Practice Mathematics Questions for DSSSB Exam

Q1. By what least number 86,400 be multiplied to obtain a number which is a perfect cube?
कौन-सी सबसे छोटी संख्या से 86,400 गुणा किया जा सकता है कि एक पूर्ण घन प्राप्त हो सके?
(a) 20
(b) 10
(c) 25
(d) 30
Q4. Which of the following numbers are not perfect cubes?
निम्नलिखित में से कौन-सी संख्या पूर्ण घन नहीं हैं?
(a) 1728
(b) 46,656
(c) 13,824
(d) None of these/ इनमें से कोई नहीं
Q5. Find the smallest number by which 704 must be divided to obtain a perfect cube.
सबसे छोटी संख्या ज्ञात करें जिसके द्वारा एक पूर्ण घन प्राप्त करने के लिए 704 को विभाजित किया जा सके.
(a) 11
(b) 4
(c) 2
(d) 3
Q6. Rahul makes a cuboid of Iron of side 5 cm, 3 cm, 5 cm. How many such cuboids will be need to form a cube?
राहुल 6 सेमी, 3 सेमी, 6 सेमी की भुजाओं वाला लोहे का एक घनाभ बनाता है. घन बनाने के लिए ऐसे कितने घनाभ की आवश्यकता होगी?
(a) 25
(b) 45
(c) 65
(d) 85
Q7. Which of the following is true? 
इनमें से क्या सही है?
(a) Cube of any odd number is even/ किसी भी विषम संख्या का घन सम होता है
(b) If square of a number ends with 5, then its ends with 25. / यदि किसी संख्या का वर्ग S के साथ समाप्त होता है, तो उसका अंत 25 से होता है.
(c) A perfect cube does not end with two zeros / एक पूर्ण घन दो शून्यों के साथ समाप्त नहीं होता है
(d) None of these/ इनमें से कोई नहीं
Q8. Find the cube root of 32,768?
32,768 का घन मूल ज्ञात कीजिए?
(a) 64
(b) 32
(c) 16
(d) 8
Solutions
S1. Ans.(a)
Sol.
86,400 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3 × 3 × 5 × 5
The smallest or least no.= 2 × 2 × 5
= 20

S6. Ans.(b)
Sol.
Volume of cuboid = 5 × 3 × 5 = 75
Need 45 cuboids to make perfect cube
S7. Ans.(c)
Sol.
 
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