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Q:

Half the people on a bus get off at each stop after the first, and no one gets on after the first stop. If only one person gets off at stop number 7, how many people got on at the first stop?

A) 128	B) 64
C) 32	D) 16

Answer & Explanation Answer: B) 64

Explanation:

7th stop only one was left and in each preceding stop twice the nos... there were so 6 stops before 7th.

so $2^{6} = 64$

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Filed Under: Problems on Numbers
Exam Prep: GRE

Q:

A perfect cube is an integer whose cube root is an integer. For example, 27, 64 and 125 are perfect cubes. If p and q are perfect cubes, which of the following will not necessarily be a perfect cube?

A) 8p	B) pq
C) pq+27	D) -p

Answer & Explanation Answer: C) pq+27

Explanation:

A perfect cube will have prime factors that are in groups of 3; for example 125 has the prime factors 5 x 5 x 5 , and 64 x 125 will also be a cube because its factors will be 4 x 4 x 4 x 5 x 5 x 5

Consider the answer choices in turn.

8 is the cube of 2, and p is a cube, and so the product will also be a cube.

pq will also be a cube as shown above.

pq is a cube and so is 27, but their sum need not be a cube. Consider the case where p =1 and q = 8, the sum of pq and 27 will be 35 which has factors 5 x 7 and is not a cube.

-p will be a cube.

Since the difference between p and q is raised to the power of 6, this expression will be a cube (with cube root = difference squared).

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Filed Under: Numbers

Q:

The present value of a bill due at the end of 2 years is Rs.1250. If the bill were due at the end of 2 years and 11 months, its present worth would be Rs.1200. Find the rate of interest and the sum.

A) rs.1175	B) rs.1375
C) rs.1475	D) rs.1575

Answer & Explanation Answer: B) rs.1375

Explanation:

PW = $\frac{100 \times A m o u n t}{100 + (R \times T)}$

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Filed Under: True Discount
Exam Prep: Bank Exams
Job Role: Bank PO

Q:

What is the difference between stack and array?

Answer

Stack:

- Stack is a ordered collection of items

- Stack is a dynamic object whose size is constantly changing as items are pushed and popped .

- Stack may contain different data types

Array:

- Array is an ordered collection of items

- Array is a static object i.e. no of item is fixed and is assigned by the declaration of the array

- It contains same data types.

Workspace

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Subject: C++ Exam Prep: GATE

Q:

If n is even, which of the following cannot be odd?

A) n+3	B) 2n
C) n+4	D) 3n

Answer & Explanation Answer: B) 2n

Explanation:

In case B, odd times even will give even

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Filed Under: Numbers
Exam Prep: GRE

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.

More :: Mathematical operations questions and answers.

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Filed Under: Numbers
Exam Prep: Bank Exams , AIEEE , CAT , GATE
Job Role: Bank Clerk , Analyst , Bank PO , IT Trainer

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:

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

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