Discussion
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- Question
- [(12)-2]2/[(12)2]-2 =?
Options- A. 12
- B. 4.8
- C. 12/144
- D. 1
- Correct Answer
- 1
Explanation? = [(12)-2]2/[(12)2]-2
Apply the Algebra Law,
(am)n = amn
= (12) - 4/(12) - 4
= 1 - 1. 163/2 + 16 -3/2 =?
Options- A. 0
- B. 4097/64
- C. 1
- D. 16/9097 Discuss
- 2. Solve the below equation and find the value of ?.
?(13)4 =?
Options- A. 520
- B. 169
- C. 28561
- D. 14280 Discuss
- 3. A has to pay $ 22 to B after 1 year. B asks A to pay $ 110 in cash and defers the payment of $ 110 for 2 years. A agrees to it. Counting the rate of interest at 10% per annum in this new mode of payment,
Options- A. there is no gain or loss to anyone.
- B. A gains $ 7.34
- C. A loses $ 7.34
- D. A gains $ 11 Discuss
- 4. What is the rate of interest when the P.W. of $ 1245 due in 15 months is $ 1200?
Options- A. 3%
- B. 4%
- C. 6%
- D. 5% Discuss
- 5. What rate of interest does a man get for his money when in discounting a bill due in 10 months, he deducts 4 % of the amount of the bill?
Options- A. 5%
- B. 6%
- C. 8%
- D. 4% Discuss
- 6. (16)9 ÷ (16)4 x (16)3 = (16)?
Options- A. 6.75
- B. 8
- C. 10
- D. 12 Discuss
- 7. [ (11)3 x (6)2] ÷ (4)3 =?
Options- A. 2994.75
- B. 748.6875
- C. 272.25
- D. 4492.125 Discuss
- 8. Solve the following:
? =?103823
Options- A. 49
- B. 51
- C. 45
- D. 47 Discuss
- 9. If (1/5 )3a = 0.008 Find the value of ( 0.25)a
Options- A. 20.5
- B. 22.5
- C. 0.25
- D. 6.25 Discuss
- 10. If (p/q)n - 1 = (q/p)n - 3, then the value of n is
Options- A. 1/2
- B. 7/2
- C. 1
- D. 2 Discuss
Surds and Indices problems
Search Results
Correct Answer: 4097/64
Explanation:
163/2 + 16-3/2
Apply the law of Fractional Exponents and Laws of Exponents
am x an = am+n
a-m = 1/am
?163/2 + 1/163/2
?(161/2)3 + 1/(161/2)3
?(42 x 1/2)3 + 1/(42 x 1/2)3
?43 + 1/43
? 64 + 1/64
? (64 x 64+ 1)/64
= (4096+1)/64
= 4097/64
Correct Answer: 169
Explanation:
? = ?(13)4 = ?13 x 13 x 13 x 13
Apply the rule of square root.
= 13 x 13 = 169
Correct Answer: A gains $ 7.34
Explanation:
Correct Answer: 3%
Explanation:
Correct Answer: 5%
Explanation:
Correct Answer: 8
Explanation:
Given that ,(16)9 ÷ (16)4 x (16) 3 = (16)?
Apply the law of Fractional Exponents and Laws of Exponents
(am) x (an) = am + n-------------------1
am ÷ an = am ? n----------------2
? (16)9 ÷ (16)4 x (16) 3 = (16)?
? (16)? = (16)9 + 3 - 4
? ? = 12 - 4 = 8
Correct Answer: 748.6875
Explanation:
? = [ (11)3 x (6)2 ] x 1/43
? = [ 113 x 62 ] x 1/43
Solve the equation by algebra law.
?= [ 1331 x 36 ] x 1/64 =1331 x 36 / 64
? = 748.6875
Correct Answer: 47
Explanation:
? = ?103823
? = ?(47) 3
Apply the Law of Algebra
? = [(47)3]1/3
? = 473 x 1/3 = 47
? = 47
Correct Answer: 0.25
Explanation:
(1/5 )3a = 0.008 = 8/1000 = 1/125 = (1/5 )3
Apply the Algebra Law and Solve the equation.
? 3a = 3
? a = 1
? ( 0.25 )a = ( 0.25 )1 = 0.25
Correct Answer: 2
Explanation:
Given equation is below
(p/q)n - 1 = (q/p)n - 3
Apply the law of Fractional Exponents and Laws of Exponents
a - m = 1/a m
or
am = 1/a - m
(p/q)n - 1 = (q) - (n - 3) x 1/ (p) - (n - 3)
(p/q)n - 1 = (p) 3 - n x 1/ (q) 3 - n
(p/q)n - 1 = (p/q) 3 - n
if pX = pY then X will be equal to Y. means X = Y;
? n - 1 = 3 - n
? 2n = 4
? n = 2
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