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- Question
If 3x= 4y= 12 , then z is equal to
Options- A. xy
- B. x + y
- C. xy/x+Y
- D. 4x +3y
- Correct Answer
- xy/x+Y
ExplanationTaking log of all 3 we getxln3 = yln4 =zln12 = kz = k/ln12 = k / ln(3*4) = k/ln3 + ln4 = k / (k/x +k/y) = xy / (x+y) - 1. A milk man sells the milk at the cost price but he mixes the water in it and thus he gains 9.09%. The quantity of water in the mixture of 1 liter is :
Options- A. 83.33 ml
- B. 90.90 ml
- C. 99.09 ml
- D. can't be determined Discuss
- 2. A and B are two number whose AM is 25 and GM is 7. Which of the following may be a value of A?
Options- A. 10
- B. 49
- C. 20
- D. 25 Discuss
- 3. If P 2 + 4Q 2 = 4PQ, then determine P : Q.
Options- A. 1 : 3
- B. 3 : 1
- C. 2 : 1
- D. 1 : 2 Discuss
- 4. If the probability of machine failing during a day is 0.95. The probability of its working for four consecutive days without failing is?
Options- A. 0.00000625
- B. 0.0625
- C. 0.16548375
- D. 0.000625 Discuss
- 5. If A : B = 3 : 4 and B : C = 8 : 9 then find the value of A : B : C?
Options- A. 3 : 4 : 5
- B. 1 : 2 : 3
- C. 7 : 12 : 17
- D. 6 : 8 : 9 Discuss
- 6. A clock is set right at 6 am. The clock losses 16 min in 24 h. What will be true time. if the clock indicates 11 pm on 4th day?
Options- A. 12 o' clock
- B. 11 pm
- C. 9 pm
- D. 2 pm Discuss
- 7. A company declared an annual dividend of 10%. Find out the annual dividend of Ram owning 1500 shares of the company of face value $ 10 each.
Options- A. $ 1400
- B. $ 1500
- C. $ 1700
- D. $ 1600 Discuss
- 8. At what time between 2 o'clock and 3 o'clock, will the hands of a clock point in opposite directions?
Options- A. 480/11 min past 2
- B. 485/11 min past 2
- C. 580/11 min past 2
- D. 520/11 min past 2 Discuss
- 9. Find the mean proportional between 9 and 64.
Options- A. 25
- B. 24
- C. 27
- D. 35 Discuss
- 10. How many terms are there in the GP 5, 20, 80, 320, ..., 20480?
Options- A. 7
- B. 6
- C. 5
- D. 10 Discuss
More questions
Correct Answer: 83.33 ml
Explanation:
Profit (%) = 9.09 % = 1/11
Since the ratio of water and milk is 1 : 11,
Therefore the ratio of water is to mixture = 1:12
Thus the quantity of water in mixture of 1 liter = 1000 x (1/12) = 83.33 ml
Correct Answer: 49
Explanation:
(a + b)/2 = 25
a + b = 50
?ab = 7
ab = 49
Hence, A can either be 7 or 49.
So, 49 is the answer.
Correct Answer: 2 : 1
Explanation:
P2 + 4Q2 = 4PQ
? P2 + 4Q2 - 4PQ = 0
? (P - 2Q)2 = 0
? P - 2Q = 0
? P = 2Q
? P/Q = 2/1
? P : Q = 2 : 1
Correct Answer: 0.0625
Explanation:
? Probability of machine failing during a day p = 0.95
? q = Probability of its working during a day = 1 - p = 1 - 0.95 = 0.05
Required probability = q4 = (0.05)4
= 0.00000625
Correct Answer: 6 : 8 : 9
Explanation:
Given that
A : B = 3 : 4 = ( 3 x 2 ) : (4 x 2 ) = 6 : 8
B : C = 8 : 9
? A : B : C = 6 : 8 : 9
As consequent of the first ratio is equal to the antecedent of second ratio.
Correct Answer: 12 o' clock
Explanation:
Time from 6 am on a day to 11 pm on 4th day = 89 h
Now, 23 h 44 min of this clock = 24 h of correct clock
89 h of this clock = 24 x (15/356) x 89 h of correct clock = 90 h of correct clock
? Correct time will be 12 o' clock (mid-night).
Correct Answer: $ 1500
Explanation:
Correct Answer: 480/11 min past 2
Explanation:
Given that n = 2 and (n + 1) = 3(n < 6)
The hands will be at the same straight line at
? (5n + 30) x 12/11 min past n.
? (5 x 2 + 30 ) x 12/11 min past 2.
? (10 + 30) x 12/11 min past 2.
? 40 x 12/11 min past 2.
? 480/11 min past 2.
Correct Answer: 24
Explanation:
Required mean proportional = ?9 x 64
= 3 x 8 = 24
Correct Answer: 7
Explanation:
Let term = l = arn - 1 a = 5 and l = 20480
r = 20/5 = 4
? 20480 = 5 x (4)n-1
(4)n-1 = 20480/5 = 4096 = (4)6
n - 1 = 6
? n = 7
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