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Q:

There are four consecutive even integers. Sum of the reciprocals of the first two number is (11/60). Find the reciprocal of third largest number of the series.

A) 1/12 B) 2/14
C) 1/14 D) 2/13
 
Answer & Explanation Answer: C) 1/14

Explanation:

Ans. C.
Let 4 consecutive even numbers are x, x+ 2, x+ 4, x+ 6
According to the question -
1/x + 1/x+2 = 11/60
x+2+x/ x(x+2) = 11/60
2(x+1)/x^2 + 2x = 11/60
120x + 120 = 11x 2 + 22x
11x 2 - 98x – 120 = 0
So ,
X = -24/22 , 10
X = -12/11 , 10
So, the numbers will be 10,12,14,16.
Hence,
Third largest number = 14
Reciprocal of third number = 1/14

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Filed Under: Numbers
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Q:

All atoms of uranium have the same

A) Atomic mass B) Number of electrons
C) Atomic number D) Mass number
 
Answer & Explanation Answer: C) Atomic number

Explanation:

There are many isotopes of uranium and all of them have same atomic number i.e, sum of nmber of neutrons and protons.

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Filed Under: Chemistry
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4 4247
Q:

The Kinetic energy of gas molecules

A) is unaffected by temperature variations B) decreases with increase of temperature
C) increases with decrease of temperature D) increases with increase of temperature
 
Answer & Explanation Answer: D) increases with increase of temperature

Explanation:

Kinetic Energy K.E = 12mV2  or 

K.E V2, Where 'm' is the mass and 'v' is the velocity of molecules.

 

Velocity is proportional to temperature. Hence, KE is proportional to temperature and would increase with temperature.

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Filed Under: Chemistry
Exam Prep: AIEEE

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Q:

Which statement describes the acid found in vinegar acetic acid ?

A) It feels slippery B) It reacts with Mg to produce H2
C) It tastes bitter D) It releases OH- in a solution
 
Answer & Explanation Answer: B) It reacts with Mg to produce H2

Explanation:

Acid which is present in vinegar is approximately 5 % of acetic acid. This can be confirmed by testing the vinegar with magnesium which gives out hydrogen as a gas.

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Filed Under: Chemistry
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Q:

Hormones are chemicals secreted and regulated by the endocrine system.

A) TRUE B) FALSE
Answer & Explanation Answer: A) TRUE

Explanation:

True. Hormones are chemicals secreted and regulated by the endocrine system.

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Subject: Biology
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4 4244
Q:

Find the value of 1.21x0.91.1x0.11?

A) 0 B) 1
C) 3 D) 5
 
Answer & Explanation Answer: C) 3

Explanation:

Given   1.21x0.91.1x0.11

 

1.21x100x0.9x101.1x10x0.11x100

 

9

 

= 3.

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Filed Under: Square Roots and Cube Roots
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Q:

The Reserve Bank of India has taken some initiatives to prevent a US type sub-prime Crisis in India. Which of the following is/ are such initiatives?

A. Banks are adviced to set up credit counselling centres. 

B. Banks should stop giving housing loans to big borrowers (Asking for loans of  Rs.50 lakhs and above )

C. Banks should not give loans to builders and property dealers/developers

A) Only (A) B) Only (B)
C) Only (C) D) All (A), (B), (C)
 
Answer & Explanation Answer: A) Only (A)

Explanation:
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Filed Under: General Awareness
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Q:

A box contains 2 blue balls, 3 green balls and 4 yellow balls. In how many ways can 3 balls be drawn from the box, if at least one green ball is to be included in the draw?

A) 48 B) 24
C) 64 D) 32
 
Answer & Explanation Answer: C) 64

Explanation:

Total number of balls = 2 + 3 + 4 = 9

Total number of ways 3 balls can be drawn from 9 = 9C3

No green ball is drawn = 9 - 3 = 6 = 6C3

Required number of ways if atleast one green ball is to be included = Total number of ways - No green ball is drawn

= 9C3 - 6C3

= 9x8x7/3x2  -  6x5x4/3x2

= 84 - 20

= 64 ways.

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Filed Under: Permutations and Combinations
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