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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:

In what time a debt of Rs.7920 due may be cleared by immediate cash down payment of Rs.3600 at 1/2% per month

A) 10years	B) 20years
C) 30years	D) 40years

Answer & Explanation Answer: B) 20years

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:

One side of a triangle has length 8 and a second side has length 5. Which of the following could be the area of the triangle?

A) 24	B) 20
C) 26	D) 34

Answer & Explanation Answer: B) 20

Explanation:

The maximum area of the triangle will come when the given sides are placed at right angles. If we take 8 as the base and 5 as the height the area = ½ x 8 x 5=20

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Filed Under: Volume and Surface Area
Exam Prep: GRE

Q:

Which is a better offer out of (i) a cash payment now of Rs.8100 or (ii) a credit of Rs.8250 after 6 months(6.5% S.I)

A) (i)	B) (ii)
C) both (i) and (ii)	D) none

Answer & Explanation Answer: A) (i)

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:

The true-discount on Rs.2480 due after a certain period at 5% is Rs.80. Find the due period.

A) 6months	B) 5months
C) 8months	D) 3months

Answer & Explanation Answer: C) 8months

Explanation:

P.W= Amount – (T.D)

Time = $\frac{100 \times T D}{P W \times R}$

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

Q:

The true discount on a certain sum of money due 3 year hence is Rs.100 and the S.I. on the same sum for the same time and at the same rate is Rs.120. Find the sum and the rate percent.

A) (6 + 2/3)%	B) (5+ 2/3)%
C) (2+ 2/3)%	D) (4+ 2/3)%

Answer & Explanation Answer: A) (6 + 2/3)%

Explanation:

Sum ⇒ Amount

A = (SI x TD)/(SI - TD)

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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

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