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- Question
If 1/a+1/b+1/c = 1/(a+b+c) where a+b+c not equals '0', abc not equals '0', What is the value of (a+b) (b+c) (a+c) ?
Options- A. 3
- B. 2
- C. 1
- D. 0
- Correct Answer
- 0
ExplanationLet assume the value of a,b &c that will satisfy the equation.
so a=1,b=1,c= -1 or a=1,b= -1 &c=1 or a= -1,b=1,c=1
here all three cases satisfy the equation
assume any one a=1,b=1,c= -1Hence (a+b)(b+c)(c+a)=(1+1)(1-1)(-1+1) = 0
- 1. In the accompanying figure, AB is one of the diameters of the circle and OC is perpendicular to it through the centre O. If AC is 7?2 cm, then what is the area of the circle in cm 2?
Options- A. 24.5
- B. 49
- C. 98
- D. 154 Discuss
- 2. 3120 ÷ 26 + 13 x 30 =?
Options- A. 2400
- B. 3900
- C. 536
- D. None of these Discuss
- 3. The average of 13 results is 60. If the average of first 7 result is 59 and that of last 7 results is 61, What will be the seventh result?
Options- A. 90
- B. 50
- C. 75
- D. 60 Discuss
- 4. The radius of a circle has been reduced from 9 cm to 7 cm . the appropriate percentage decrease in area is?
Options- A. 31.5 %
- B. 39.5 %
- C. 34.5 %
- D. 65.5 % Discuss
- 5. Find the value of 27 x 1. 2 x 5.526 2 x 0. 6 .
Options- A. 121.57
- B. 121.75
- C. 121.75
- D. None of these Discuss
- 6. The sum of two numbers is 24 and their product is 143. The sum of their squares is
Options- A. 296
- B. 295
- C. 290
- D. 228 Discuss
- 7. The probability that a man aged x years will die in a years is p. The probability that out of n men M1, M2, M3...... Mn each aged n years Mk will die and be the first to die is?
Options- A. 1/n2
- B. 1 - (1 - p)n
- C. 1/n2[1 - (1- p)n
- D. 1/n[1 - (1 - p)n] Discuss
- 8. If log (0.57) = 1756, then the value of log 57 + log (0.57) 3 + log ? 0.57 is?
Options- A. 0.902
- B. 1.902
- C. 1.146
- D. 2.146 Discuss
- 9. ? 132 + 28 / 4 - (3)3 + 107 = (?) 2
Options- A. 2
- B. 16
- C. 256
- D. 4 Discuss
- 10. A is thrice as good a workman as B and therefore is able to finish a job in 30 days less then B. How many days will they takes to finish the job working together?
Options- A. 101/4
- B. 113/4
- C. 111/4
- D. 111/3 Discuss
More questions
Correct Answer: 154
Explanation:
Correct Answer: None of these
Explanation:
Given Expression = 3120 ÷ 26 + 13 x 30
= 120 + 13 x 30
= 120 + 390
= 510
Correct Answer: 60
Explanation:
According to the fundamental to the fundamental formula
Average(A)= Sum (S) / Number(N)
From the question 60 = S / 13
? S = 60 x 13 = 780
Sum of first seven result = 59 x 7 = 413
Sum of last seven result = 61 x 7 = 427
? 7th result = (Sum of first seven result) + (Sum of last seven results) - (Sum of all the results)
= (413 + 427 - 780 )
= (840 - 780)
= 60
NoteSum of first seven when added to the sum of last seven result, then repetition of 7th result takes place.
Correct Answer: 39.5 %
Explanation:
Original area = (22/7) x 9 x 9 cm2
New area = (22/7) x 7 x 7 cm2
? Decrease = 22/7 x [(9)2 -(7)2] cm2
=(22/7) x 16 x 2 cm2
Decrease percent = [(22/7 x 16 x 2) /( 7/22 x 9 x 9)] x 100 %
= 39.5 %
Correct Answer: None of these
Explanation:
27 x 1.2 x 5.5262 x 0.6
= 27 x [(12 - 1) / 9] x [(55262 - 5526)/9000] x (6/9)
= (27 x 11)/9 x (49736/9000) x (6/9)
= 1094192 / 9000
= 121.576888...
= 121.5768
Correct Answer: 290
Explanation:
Let the two numbers be P and Q.
According to given question,
Sum of two numbers = 24
? P + Q = 24 ...................... (1)
Product of two numbers = 143
and, PQ = 143 .......................... (2)
As we know the formula,
? P 2 + Q2 = (P + Q)2 ? 2PQ
Put the value from the equation (1) and (2), We will get
? P 2 + Q2 = (24)2 ? 2 × 143
? P 2 + Q2 = 576 ? 286 = 290
Correct Answer: 1/n[1 - (1 - p)n]
Explanation:
? Probability that no man out of n men aged x years will die in a year = (1 - p)n
? Probability that out of n men at least one will die in a year = 1 - (1 - p)n .
When at least one, man dies, any one out of the n men may be the first to die
Correct Answer: 0.902
Explanation:
Given Exp.
= log (57 x 100 / 100) + 3log(0.57) + 1/2log(0.57)
= log (0.57) + log 102 + 3log(0.57) +1/2log (0.57)
= (1 + 3 + 1/2) log(0.57) + 2 [? log102 = 2]
= (4.5 x 1.756) + 2 = 4.5 x (-1 + 0.756) + 2
= 3.402 - 4.5 + 2
= 0.902
Correct Answer: 4
Explanation:
(?)2 = ?132 + 28 / 4 - (3)3 + 107
= ?169 + 7 - 27 + 107
= ?256
= ?16
= 4
Correct Answer: 111/4
Explanation:
Let A takes x and B takes 3N days to finish the job.
According to the question,
3N - N = 30
? N = 30/2 = 15 days
? B's time to complete the work = 3N
= 3 x 15 = 45 days
? (A + B)'s 1 day's work
= (1/15) + (1/45) = (3 + 1)/45 = 4/45
? (A + B) will finish the work in 4/45 days
? Required time = 4/45 = 111/4
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