6. If √2401 = √7^x then, the value of x is ?

1. 1. 3

   
   
   

   2. 4

   
   
   

   3. 5

   
   
   

   4. 6

   
   
   

---

1. View Hint View Answer Discuss in Forum

   √2401 = √7^x
   ⇒ 7^x = 2401 = 7⁴

   Correct Option: B

   √2401 = √7^x
   ⇒ 7^x = 2401 = 7⁴
   ∴ x = 4

---

7. What is the smallest number by which 3600 be divided to make it a perfect cube ?

1. 1. 9

   
   
   

   2. 50

   
   
   

   3. 30

   
   
   

   4. 450

   
   
   

---

1. View Hint View Answer Discuss in Forum

   3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.
   
   To make it a perfect cube, the given number must be divided by 2 x 3 x 3 x 5 x 5 = 450

   Correct Option: D

   3600 = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5.
   
   To make it a perfect cube, the given number must be divided by 2 x 3 x 3 x 5 x 5 = 450

---

---

8. By what least number must 21600 be multiplied to make it a perfect cube ?

1. 1. 6

   
   
   

   2. 10

   
   
   

   3. 30

   
   
   

   4. 60

   
   
   

---

1. View Hint View Answer Discuss in Forum

   21600 = 6 x 6 x 6 x 10 x 10
   To, make the given number a perfect cube, it must be multiplied by 10.

   Correct Option: B

   21600 = 6 x 6 x 6 x 10 x 10
   To, make the given number a perfect cube, it must be multiplied by 10.

---

9. The sequence root of 0.4 is

1. 1. 0.6

   
   
   

   2. 0.7

   
   
   

   3. 0.8

   
   
   

   4. 0.9

   
   
   

   5. None of the above

   
   
   

---

1. View Hint View Answer Discuss in Forum

   √0.4
   = √4/9
   = 2/3 = 0.666
   = 0.6

   Correct Option: A

   √0.4
   = √4/9
   = 2/3 = 0.666
   = 0.6

---

---

10. Find the square root of 105⁴/₆₄.

1. 1. 15¹/₄

   
   
   

   2. 15¹²/₄

   
   
   

   3. 10¹/₄

   
   
   

   4. 6²/₄

   
   
   

   5. None of the above

   
   
   

---

1. View Hint View Answer Discuss in Forum

   √105⁴/₆₄
   = √6724/64

   Correct Option: C

   √105⁴/₆₄
   = √6724/64
   = 82/8 = 41/4 = 10¹/₄

---