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- Question
The sum of the squares of three numbers is 138, while the sum of their products taken two at a time is 131. Their sum is:
Options- A. 20
- B. 30
- C. 40
- D. None of these
- Correct Answer
- 20
ExplanationLet the numbers be a, b and c.Then, a2 + b2 + c2 = 138 and (ab + bc + ca) = 131.
(a + b + c)2 = a2 + b2 + c2 + 2(ab + bc + ca) = 138 + 2 x 131 = 400.
⟹ (a + b + c) = √400 = 20.
More questions
- 1. The value of 47 / 10000 is?
Options- A. .0047
- B. .0470
- C. .00047
- D. .000047 Discuss
Correct Answer: .0047
Explanation:
47/10000 = .0047
- 2. If 4x = 18y, then the value of ( x/y - 1) is
Options- A. 1 3
- B. 7 2
- C. 2 3
- D. 3 2 Discuss
Correct Answer: 7 2
- 3. If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?
Options- A. 144
- B. 158
- C. 159
- D. 166 Discuss
Correct Answer: 144
Explanation:
- 4. .02 =(......?.....)%
Options- A. 20
- B. 2
- C. .02
- D. .2 Discuss
Correct Answer: 2
Explanation:
.02 =(2/100) x 100% =2%
- 5. If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?
Options- A. 45
- B. 55
- C. 60
- D. 72 Discuss
Correct Answer: 60
Explanation:
- 6. 2?63 / 11 =233
Options- A. 4
- B. 3
- C. 6
- D. 5 Discuss
Correct Answer: 5
Explanation:
Let N / 11 = 233
Then, N = 233 x 11 = 2563
? Missing digit is 5.- 7. When 121012 is divided by 12, the remainder is
Options- A. 0
- B. 2
- C. 3
- D. 4 Discuss
Correct Answer: 4
Explanation:
121012 = 12 x 10084 + 4
? remainder = 4- 8. Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?
Options- A. 18 days
- B. 21 days
- C. 3 days
- D. 6 days Discuss
Correct Answer: 18 days
Explanation:
We have the important relation, More work, More time (days)
? A piece of work can be done in 6 days.
? Three times of work of same type can be done in 6 x 3
= 18 days- 9. 750.0003 ÷ 19.999 =?
Options- A. 49
- B. 18
- C. 22
- D. 38 Discuss
Correct Answer: 38
Explanation:
? = 750.0003 ÷ 19.999
? ? ? 750 ÷ 20
? ? ? 375 ? 38- 10. 105, 85, 60, 30, 0, - 45, - 90?
Options- A. 0
- B. 85
- C. -45
- D. 60 Discuss
Correct Answer: 0
Explanation:
Subtract 20, 25, 30, 35, 40, 45 from successive numbers. So 0 is wrong.
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