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- Question
- The age of the father of two children is twice that of the elder one added to four times that of the younger one. If the geometric mean of the ages of the two children is 4? 3 and their harmonic mean is 6, then what is the father's age?
Options- A. 48 yr
- B. 32 yr
- C. 40 yr
- D. 56 yr
- Correct Answer
- 40 yr
ExplanationGiven, F = 2E + 4Y ...(I)
?EY = 4?3
? EY = 48 ...(II)
and 2EY/ E + Y = 6 ? E + Y = 16 ...(III)
Now, (E -Y)2 = (E + Y)2 - 4EY
= (16)2 - 4 x 48
= 256 - 192 = 64
? E - Y = 8 ...(iv)
From Eqs. (iii) and (iv), we get
E = 12 and Y = 4
From Eq. (i) F = 2 x 12 + 4 x 4 = 40 yr - 1. In, ?ABC, D and E are the mid-points of AB and AC respectively. Find the ratio of the areas of ?ADE and ?ABC.
Options- A. 1 2
- B. 1 4
- C. 3 4
- D. 1 8 Discuss
- 2. 22020 ÷ 0.011=?
Options- A. 20020
- B. 2000000
- C. 200200
- D. 200002 Discuss
- 3. How many times are the hands of a clock is at right angle in a day?
Options- A. 22
- B. 24
- C. 44
- D. 48 Discuss
- 4. The unit digit in the product (784 x 618 x 917 x 463) is:
Options- A. 2
- B. 3
- C. 4
- D. 5 Discuss
- 5. If the true discount on s sum due 2 years hence at 14% per annum be Rs. 168, the sum due is:
Options- A. Rs. 768
- B. Rs. 968
- C. Rs. 1960
- D. Rs. 2400 Discuss
- 6. ?. 8x 2 + 6x = 5
?. 12y 2 ? 22y + 8 = 0
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 7. 15, 31, 63, 127, 255, (...)?
Options- A. 513
- B. 511
- C. 517
- D. 523 Discuss
- 8. Find the probability that a vowel selected at random from the 5 vowels is an 'i'.?
Options- A. 4/5
- B. 1/3
- C. 1/5
- D. 1/2 Discuss
- 9. 396, 462, 572, 427, 671, 264
Options- A. 396
- B. 427
- C. 671
- D. 264 Discuss
- 10. If 90% of A = 30% of B and B = C% of A,then the value of C is?
Options- A. 900
- B. 800
- C. 600
- D. 300 Discuss
More questions
Correct Answer: 1 4
Explanation:
Correct Answer: 2000000
Explanation:
22020 ÷ 0.011 = 2001818.181 ? 2000000
Correct Answer: 44
Explanation:
In 12 h, they are at a right angles, 22 times.
So, in 24 h, they are at right angles, 44 times.
Correct Answer: 2
Explanation:
Unit digit in the given product = Unit digit in (4 x 8 x 7 x 3) = (672) = 2
Correct Answer: Rs. 768
Explanation:
| P.W. = | 100 x T.D. | = | 100 x 168 | = 600. |
| R x T | 14 x 2 |
∴ Sum = (P.W. + T.D.) = Rs. (600 + 168) = Rs. 768.
Correct Answer: 3
Explanation:
Correct Answer: 511
Explanation:
Each number is double the preceding one plus 1. So, the next number is (255 x 2) + 1 = 511.
Correct Answer: 1/5
Explanation:
Here, n(5) = {a, e, i,o, u}
and E = Event of selecting the vowel i = {i}
? P(E)= n(E)/n(S) = 1/5
Correct Answer: 427
Explanation:
Correct Answer: 300
Explanation:
? 90A/100 = 30B/100 = (30/100) x AC/100
? C = 100 x (100/30) x (90/100) = 300
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