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- Question
- If the average age of Dinesh and Mahesh is 16 yr, the average age of Mahesh and Rahul is 13 yr and the average age of Dinesh and Rahul is 14 yr, then what is the age of Mahesh?
Options- A. 15 yr
- B. 20 yr
- C. 58 yr
- D. 16 yr
- Correct Answer
- 15 yr
ExplanationLet ages of Dinesh, Mahesh and Rahul be D, M and R, respectively.
Then,
D + M = 2 x 16 = 32 ...(i)
M + R = 2 x 13 = 26 ....(ii)
D + R = 2 x14 = 28 ....(iii)
On adding Eqs. (i), (ii) and (iii), we get
2(D + M + R) =86
? D + M + R = 43 ....(iv)
On subtracting Eqs. (iii) from Eq. (iv), we get
M = 43 - 28
? M = 15 Yr - 1. In center of a triangle lies in the interior of :
Options- A. an isosceles triangle only
- B. any triangle
- C. an equilateral triangle only
- D. a right triangle only Discuss
- 2.
If (5x2 ? 3y2) : xy = 11 : 2, then the positive value of x is : y
Options- A. 7 2
- B. 5 2
- C. 3 2
- D. 5 3 Discuss
- 3.
4.2 x 4.2 - 1.9 x 1.9 is equal to: 2.3 x 6.1
Options- A. 0.5
- B. 1.0
- C. 20
- D. 22 Discuss
- 4. The square root of (7 + 3√5) (7 - 3√5) is
Options- A. √5
- B. 2
- C. 4
- D. 3√5 Discuss
- 5.
If √5 = 2.236, then the value of √5 - 10 + √125 is equal to: 2 √5
Options- A. 5.59
- B. 7.826
- C. 8.944
- D. 10.062 Discuss
- 6.
If log10 7 = a, then log10 ❨ 1 ❩ is equal to: 70
Options- A. - (1 + a)
- B. (1 + a)-1
- C.
a 10 - D.
1 10a
Discuss
- 7.
log √8 is equal to: log 8
Options- A.
1 √8 - B.
1 4 - C.
1 2 - D.
1 8
Discuss
- 8.
The value of ❨ 1 + 1 + 1 ❩ is: log3 60 log4 60 log5 60
Options- A. 0
- B. 1
- C. 5
- D. 60 Discuss
- 9.
.009 = .01 ?
Options- A. .0009
- B. .09
- C. .9
- D. 9 Discuss
- 10.
Evaluate : (2.39)2 - (1.61)2 2.39 - 1.61
Options- A. 2
- B. 4
- C. 6
- D. 8 Discuss
More questions
Correct Answer: any triangle
Explanation:
We know that In center of every triangle ( acute , obtuse and right angle ) lies in its interior.
Hence required answer will be any triangle .
Correct Answer: 3 2
Explanation:
Correct Answer: 1.0
Explanation:
| Given Expression = | (a2 - b2) | = | (a2 - b2) | = 1. |
| (a + b)(a - b) | (a2 - b2) |
Correct Answer: 2
Explanation:
| (7 + 3√5)(7 - 3√5) | = | (7)2 - (3√5)2 | = √49 - 45 = √4 = 2. |
Correct Answer: 7.826
Explanation:
| √5 | - | 10 | + √125 | = | (√5)2 - 20 + 2√5 x 5√5 |
| 2 | √5 | 2√5 |
| = | 5 - 20 + 50 |
| 2√5 |
| = | 35 | x | √5 |
| 2√5 | √5 |
| = | 35√5 |
| 10 |
| = | 7 x 2.236 |
| 2 |
| = 7 x 1.118 |
| = 7.826 |
Correct Answer: - (1 + a)
Explanation:
|
= log10 1 - log10 70 | |||||
| = - log10 (7 x 10) | ||||||
| = - (log10 7 + log10 10) | ||||||
| = - (a + 1). |
Correct Answer:
| 1 |
| 2 |
Explanation:
| log √8 | = | log (8)1/2 | = | ½log 8 | = | 1 | . |
| log 8 | log 8 | log 8 | 2 |
Correct Answer: 1
Explanation:
| Given expression | = log60 3 + log60 4 + log60 5 |
| = log60 (3 x 4 x 5) | |
| = log60 60 | |
| = 1. |
Correct Answer: .9
Explanation:
| Let | .009 | = .01; Then x = | .009 | = | .9 | = .9 |
| x | .01 | 1 |
Correct Answer: 4
Explanation:
| Given Expression = | a2 - b2 | = | (a + b)(a - b) | = (a + b) = (2.39 + 1.61) = 4. |
| a - b | (a - b) |
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