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Q #71

⏰ 00:00

Cognizant Quants Question

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The sum of squares of 3 numbers is 170, while the sum of their products taken two at a time is 157. What is the sum of the numbers?
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That's Wrong

That's right
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Discuss

Solution

Apply (a+b+c)2 =a2+b2+c2+2(ab+bc+ca) and put the values answer is 22.

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Q #72

⏰ 00:00

Cognizant Quants Question

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Shalom offered to sell his ancestral house for Rs 18400 if he had charged 10% less, he would have made a profit of 20%. What is the actual cost of the house?
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14000

That's Wrong

12500

That's Wrong

15800

That's Wrong

13800

That's right
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Discuss

Solution

SP= 18400and 90% of SP = 16560. adding 20% profit 120% of CP = 16560. So CP = 13800.

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Q #73

⏰ 00:00

Cognizant Quants Question

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What is the probability that the project team A wins the best team award while competing against project team b, if the escalations recorded against project team A are 5 and against project team B are 7 in number? (Note:Escalations means the number of open issues reported by the client against the project)
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P(TA)=5 and P(TB) =7

That's Wrong

P(TA)/P(TB) : 5/7

That's Wrong

P(TA)=7 and P(TB)=5

That's right

P(TA)/P(TB) : 7/5

That's Wrong
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Discuss

Solution

Chances of winning are opposite for A it is 7/12 and for B it is 5/12 so the probability of finding success

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Q #74

⏰ 00:00

Cognizant Quants Question

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If a, b and c are in geometric progression then loga n, logb n and logc n are in :-
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None of the above

That's Wrong

Arithmetic Progression

That's right

Harmonic Progression

That's Wrong

Geometric Progression

That's Wrong
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Discuss

Solution

a,b,c are in GP ,so b2=ac

Taking log both sides, log b2= log ac

2 log b= log a +log c, Hence log a,logb and logc are in AP

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Q #75

⏰ 00:00

Cognizant Quants Question

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A number is to be multiplied by the fraction 4/5. But Samir, by mistake, multiplied it by 5/4 and obtained the number 81 more than the correct one. What was the original number?
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180

That's right

200

That's Wrong

120

That's Wrong

240

That's Wrong
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Discuss

Solution

Let the number be x.

5x/4-4x/5=81

X=180

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