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Q:

If $a^{2} = 12, t h e n a^{4} = ?$

A) 144	B) 72
C) 36	D) 24

Answer & Explanation Answer: A) 144

Explanation:

Given a x a = 12

asked to find a x a x a x a = (a x a) x (a x a)

a⁴ = a² x a²

= 12 x 12

= 144.

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Filed Under: Numbers
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Q:

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

A) 11/P + 6	B) P/11 +6
C) 17 - P/6	D) 17/P

Answer & Explanation Answer: A) 11/P + 6

Explanation:

Let Ben’s age now be B

Anita’s age now is A.

(A - 6) = P(B - 6)

But A is 17 and therefore 11 = P(B - 6)

11/P = B-6

(11/P) + 6 = B

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Filed Under: Problems on Ages
Exam Prep: GRE

Q:

For how many integer values of n will the value of the expression 4n + 7 be an integer greater than 1 and less than 200?

A) 48	B) 49
C) 50	D) 51

Answer & Explanation Answer: C) 50

Explanation:

1 < 4n + 7 < 200

n can be 0, or -1

n cannot be -2 or any other negative integer or the expression 4n + 7 will be less than1.

The largest value for n will be an integer < (200 - 7) /4

193/4 = 48.25, hence 48

The number of integers between -1 and 48 inclusive is 50

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Filed Under: Numbers
Exam Prep: GRE

Q:

The atoms of the elements having same atomic number but different mass number are called

A) Isobar	B) Isotopes
C) Iso electronic	D) Isotones

Answer & Explanation Answer: B) Isotopes

Explanation:

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Filed Under: Chemistry

Q:

-20 , -16 , -12 , -8 ....

In the sequence above, each term after the first is 4 greater than the preceding term. Which of the following could not be a term in the sequence?

A) 220	B) 440
C) 668	D) 762

Answer & Explanation Answer: D) 762

Explanation:

All terms in the sequence will be multiples of 4.

762 and 902 are not multiples of 4

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Filed Under: Sequential Output Tracing
Exam Prep: GRE

Q:

An atom has 7 electrons in its M - shell and contains 18 neutrons in its nucleus. What is its mass number

A) 25	B) 27
C) 35	D) 43

Answer & Explanation Answer: C) 35

Explanation:

According to Bohr model, Each shell can occupy 2 $n^{2}$ electrons in their orbits where n=1,2,3.. for K,L,M,..

The atom has 2 electrons in k, 8 electrons in L and 7 electrons in M = 2 + 8 + 7 = 17

And given that its nucleus has 18 neutrons

=> its mass number = number of (electrons + neutrons ) = 17 + 18 = 35

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Filed Under: Chemistry

Q:

The atoms of the elements which have same number of neutrons are called

A) Isobars	B) Isotopes
C) Isotones	D) None

Answer & Explanation Answer: C) Isotones

Explanation:

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Filed Under: Chemistry

Q:

Two boys starting from the same place walk at a rate of 5kmph and 5.5kmph respectively. What time will they take to be 8.5km apart, if they walk in the same direction?

A) 15 hours	B) 16 hours
C) 17 hours	D) 18 hours

Answer & Explanation Answer: C) 17 hours

Explanation:

In this type of questions we need to get the relative speed between them,
The relative speed of the boys = 5.5kmph – 5kmph
= 0.5 kmph

Distance between them is 8.5 km
Time = Distance/Speed
Time= 8.5km / 0.5 kmph = 17 hrs

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Filed Under: Time and Distance
Exam Prep: GRE

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