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1. What is the product of the irrational roots of the equation (2x-1)(2x-3)(2x-5)(2x-7)=9?
Answer: Option A
Explanation:Let 2x - 4 = y
=> (y + 3) (y + 1) (y - 1) (y - 3) = 9
=> (y^2 - 1) (y^2 - 9) = 9
=> y^4 - 10y^2 + 9 = 9
=> y^2 (y^2 - 10) = 0
=> y = 0 or ± √(10)
=> 2x - 4 = ± √(10)
=> x = (1/2) [4 ± √(10)]
=> product of the irrational roots
= (1/2)^2 * [4 + √(10)] [4 - √(10)]
= (1/4) * 6
= 3/2.
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2. The total population of a village is 5000. The number of males and females increases by 10% and 15% respectively and consequently the population of the village becomes 5600. what was the number of males in the village ?
Answer: Option B
Explanation:Lets Assume males and females as x and y respectively.
So total Population (x+y)=5000 -----------(1)
Incresed by 10% and 15%
so (x+(10x/100))+(y+15y/100)=5600
=> 110x/100+115y/100=5600
By Solving eq. (1) & (2)
y=2000 x=3000 (i.e Male population)
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3. A bag contains 4 white, 5 red and 6 blue balls. Three balls are drawn at random from the bag. The probability that all of them are red, is:
Answer: Option C
Explanation:n(s)= probability of drawing three balls out off 15 balls = 15c3
= (15*14*13)/(3*2*1)
= 455
n(E) = probability of getting red ball = 5c3
= (5*2*1)/(3*2*1)
=10
P(getting red ball)= n(E)/n(s)
= 10/455
= 2/91
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4. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
Answer: Option C
Explanation:The word 'LEADING' has 7 different letters.
When the vowels EAI are always together, they can be supposed to form one letter.
Then, we have to arrange the letters LNDG (EAI).
Now, 5 (4 + 1 = 5) letters can be arranged in 5! = 120 ways.
The vowels (EAI) can be arranged among themselves in 3! = 6 ways.
Required number of ways = (120 x 6) = 720.
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5. 6 people A,B,C,D,E and F sit around a table for dinner. Since A does not like C, he doesn't sit either opposite or beside C.B and F always like to sit opposite each other.
If A is beside F then who is are the two neighbours of B?
Answer: Option C
Explanation:ShortCut By :: SurabhiAs shown in this diagram , D and E are two neighbours of B.
As shown in this diagram , D and E are two neighbours of B.
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6. 6 people A,B,C,D,E and F sit around a table for dinner. Since A does not like C, he doesn't sit either opposite or beside C.B and F always like to sit opposite each other.
If D is adjacent to F then who is adjacent to C?
Answer: Option D
Explanation:Here is no explanation for this answer
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7. Complete the sequence A, E ,I ,M ,Q ,U , _ , _
Answer: Option B
Explanation:Y,C
after 3 letters of A then E arrives similarly after 3 letters of U then Y arrives and after 3 letters of Y then C arrives
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8. If
Answer: Option B
Explanation:Here is no explanation for this answer
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9. A person travels 6km towards west, then travels 5km towards north ,then finally travels6km towards west. Where is he with respect to his starting position?
Answer: Option C
Explanation:Here is no explanation for this answer
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10. If "football" is "cricket" ,"cricket" is "basketball" ,"basketball" is "volleyball","volleyball" is "khokho" and "khokho" is cricket, which is not a ball game?
Answer: Option A
Explanation:Here is no explanation for this answer
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