Discussion
Home ‣ Aptitude ‣ Surds and Indices Comments
- Question
(243)n/5 x 32n + 1 =? 9n x 3n - 1
Options- A. 1
- B. 2
- C. 9
- D. 3n
- Correct Answer
- 9
ExplanationGiven Expression = (243)(n/5) x 32n + 1 9n x 3n - 1
= (35)(n/5) x 32n + 1 (32)n x 3n - 1
= (35 x (n/5) x 32n + 1 ) (32n x 3n - 1)
= 3n x 32n + 1 32n x 3n - 1
= 3(n + 2n + 1) 3(2n + n - 1 )
= 33n + 1
33n - 1
= 3(3n + 1 - 3n + 1) = 32 = 9. - 1.
If ❨ a ❩ x - 1 = ❨ b ❩ x - 3 , then the value of x is: b a
Options- A. 1⁄2
- B. 1
- C. 2
- D. 7⁄2 Discuss
- 2. Given that 100.48 = x, 100.70 = y and xz = y2, then the value of z is close to:
Options- A. 1.45
- B. 1.88
- C. 2.9
- D. 3.7 Discuss
- 3. If m and n are whole numbers such that mn = 121, the value of (m - 1)n + 1 is:
Options- A. 1
- B. 10
- C. 121
- D. 1000 Discuss
- 4.
❨ xb ❩ (b + c - a) . ❨ xc ❩ (c + a - b) . ❨ xa ❩ (a + b - c) =? xc xa xb
Options- A. xabc
- B. 1
- C. xab + bc + ca
- D. xa + b + c Discuss
- 5. (25)7.5 x (5)2.5 ÷ (125)1.5 = 5?
Options- A. 8.5
- B. 13
- C. 16
- D. 17.5
- E. None of these Discuss
- 6.
1 + 1 =? 1 + a(n - m) 1 + a(m - n)
Options- A. 0
- B. 11⁄2
- C. 1
- D. am + n Discuss
- 7. The value of [(10)150 ÷ (10)146]
Options- A. 1000
- B. 10000
- C. 100000
- D. 106 Discuss
- 8. If 5a = 3125, then the value of 5(a - 3) is:
Options- A. 25
- B. 125
- C. 625
- D. 1625 Discuss
- 9.
1 + 1 + 1 =? 1 + x(b - a) + x(c - a) 1 + x(a - b) + x(c - b) 1 + x(b - c) + x(a - c)
Options- A. 0
- B. 1
- C. xa - b - c
- D. None of these Discuss
- 10. (256)0.16 x (256)0.09 =?
Options- A. 4
- B. 16
- C. 64
- D. 256.25 Discuss
Surds and Indices problems
Search Results
Correct Answer: 2
Explanation:
| Given ❨ | a | ❩ | x - 1 | = | ❨ | b | ❩ | x - 3 |
| b | a |
| ⟹ | ❨ | a | ❩ | x - 1 | = | ❨ | a | ❩ | -(x - 3) | = | ❨ | a | ❩ | (3 - x) |
| b | b | b |
⟹ x - 1 = 3 - x
⟹ 2x = 4
⟹ x = 2.
Correct Answer: 2.9
Explanation:
x z = y 2 ⟺ 10 (0.48z) = 10 (2 x 0.70) = 10 1.40
⟹ 0.48z = 1.40
| ⟹ z = | 140 | = | 35 | = 2.9 (approx.) |
| 48 | 12 |
Correct Answer: 1000
Explanation:
We know that 11 2 = 121.
Putting m = 11 and n = 2, we get:
(m - 1)n + 1 = (11 - 1)(2 + 1) = 103 = 1000.
Correct Answer: 1
Explanation:
| Given Exp. |
|
|
|
||
|
||
|
||
|
Correct Answer: 13
Explanation:
Let (25) 7.5 x (5) 2.5 ÷ (125) 1.5 = 5 x
| Then, | (52)7.5 x (5)2.5 | = 5x |
| (53)1.5 |
| ⟹ | 5(2 x 7.5) x 52.5 | = 5x |
| 5(3 x 1.5) |
| ⟹ | 515 x 52.5 | = 5x |
| 54.5 |
⟹ 5x = 5(15 + 2.5 - 4.5)
⟹ 5x = 513
∴ x = 13.
Correct Answer: 1
Explanation:
| 1 | + | 1 | = |
|
|||||||||||||||
| 1 + a(n - m) | 1 + a(m - n) |
| = | am | + | an |
| (am + an) | (am + an) |
| = | (am + an) |
| (am + an) |
= 1.
Correct Answer: 10000
Explanation:
| (10)150 ÷ (10)146 = | 10150 |
| 10146 |
= 10150 - 146
= 104
= 10000.
Correct Answer: 25
Explanation:
5 a = 3125 ⟺ 5 a = 5 5
⟹ a = 5.
∴ 5(a - 3) = 5(5 - 3) = 52 = 25.
Correct Answer: 1
Explanation:
| Given Exp. = |
|
| = | xa | + | xb | + | xc |
| (xa + xb + xc) | (xa + xb + xc) | (xa + xb + xc) |
| = | (xa + xb + xc) |
| (xa + xb + xc) |
= 1.
Correct Answer: 4
Explanation:
(256) 0.16 x (256) 0.09 = (256) (0.16 + 0.09)
= (256)0.25
= (256)(25/100)
= (256)(1/4)
= (44)(1/4)
= 44(1/4)
= 41
= 4
Comments
There are no comments.More in Aptitude:
Programming
Copyright ©CuriousTab. All rights reserved.