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- Question
Raja can hit a target 3 times in 6 shots, Karan can hit the target 2 times in 6 shots and Ashwini can hit 4 times in 4 shots. What is the probability that atleast 2 shots hit the target?
Options- A. 1/2
- B. 2/3
- C. 1/3
- D. 5/6
- Correct Answer
- 2/3
ExplanationAshwini hits the target definitely, hence required probability that atleast 2 shots hit the target is given by
Karan hits tha target and Raja not hit the target.
or
Karan does not hit the target and Raja hits the target.
or.
Karan hits the target and Raja hits the target
= 2/6 x 3/6 + 4/6 x 3/6 + 2/6 x 3/6
= 24/36 = 2/3 - 1.
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
- 2. The square root of (7 + 3√5) (7 - 3√5) is
Options- A. √5
- B. 2
- C. 4
- D. 3√5 Discuss
- 3.
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
- 4.
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
- 5.
log √8 is equal to: log 8
Options- A.
1 √8 - B.
1 4 - C.
1 2 - D.
1 8
Discuss
- 6.
The value of ❨ 1 + 1 + 1 ❩ is: log3 60 log4 60 log5 60
Options- A. 0
- B. 1
- C. 5
- D. 60 Discuss
- 7.
.009 = .01 ?
Options- A. .0009
- B. .09
- C. .9
- D. 9 Discuss
- 8.
Evaluate : (2.39)2 - (1.61)2 2.39 - 1.61
Options- A. 2
- B. 4
- C. 6
- D. 8 Discuss
- 9. If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5?
Options- A. 13.41
- B. 20.46
- C. 21.66
- D. 22.35 Discuss
- 10.
The value of 0.1 x 0.1 x 0.1 + 0.02 x 0.02 x 0.02 is: 0.2 x 0.2 x 0.2 + 0.04 x 0.04 x 0.04
Options- A. 0.0125
- B. 0.125
- C. 0.25
- D. 0.5 Discuss
More questions
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) |
Correct Answer: 22.35
Explanation:
3√5 + √125 = 17.88
⟹ 3√5 + √25 x 5 = 17.88
⟹ 3√5 + 5√5 = 17.88
⟹ 8√5 = 17.88
⟹ √5 = 2.235
∴ √80 + 6√5 = √16 x 5 + 6√5
= 4√5 + 6√5
= 10√5 = (10 x 2.235) = 22.35
Correct Answer: 0.125
Explanation:
| Given expression = | (0.1)3 + (0.02)3 | = | 1 | = 0.125 |
| 23 [(0.1)3 + (0.02)3] | 8 |
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