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Q:

It is given that log10 2= 0.301 and log10 3 = 0.477. How many digits are there in ${(108)}^{10}$ ?

A) 19	B) 20
C) 21	D) 22

Answer & Explanation Answer: C) 21

Explanation:

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Filed Under: Logarithms
Exam Prep: Bank Exams

Q:

Which of the following pair of numbers is the solution of the equation $3^{x + 2} + 3^{- x} = 10$ ?

A) 0, 2	B) 0, -2
C) 1, -1	D) 1, 2

Answer & Explanation Answer: B) 0, -2

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

In a hostel the rent per room is increased by 20%. If number of rooms in the hostel is also increased by 20% and the hostel is always full, then what is the percentage change in the total collection at the cash counter?

A) 30%	B) 40%
C) 44%	D) 48%

Answer & Explanation Answer: C) 44%

Explanation:

Let initial rent be rs 10

And initial rooms be 10

So initial collection = 10*10 = Rs 100

Now new rent = 10 + 20% of 10 = 12

New no of rooms = 10 + 20% of 10 = 12

So new collection = 12*12 = 144

% change in collection = (144-100)/100*100 = 44%

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

For x > 0, what is the minimum value of $x + \frac{x + 2}{2 x}$ ?

A) 1	B) 2
C) 2.5	D) 1.5

Answer & Explanation Answer: C) 2.5

Explanation:

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Filed Under: Simplification
Exam Prep: Bank Exams

Q:

Which of the following statements is not true?

A) The difference of two prime numbers, both greater than 2, is divisible by 2	B) For two different integers m, n and a prime number p, if p divides the product m × n, then p divides either m or n.
C) If a number is of the form 6n –1 (n being a natural number), then its is a prime number.	D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

Answer & Explanation Answer: D) There is only one set of three prime numbers such that there is a gap of 2 between two adjacent prime numbers.

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

Priya’s age was cube of an integral number (different from 1) four years ago and square of an integral number after four years. How long should she wait so that her age becomes square of a number in the previous year and cube of a number in the next year?

A) 7 years	B) 12 years
C) 14 years	D) 21 years

Answer & Explanation Answer: C) 14 years

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Filed Under: Problems on Ages
Exam Prep: Bank Exams

Q:

Three cars A, B and C started from a point at 5 pm, 6 pm and 7 pm respectively and travelled at uniform speeds of 60 km/hr, 80 km/hr and x km/hr respectively in the same direction. If all the three met at another point at the same instant during their journey, then what is the value of x?

A) 120	B) 110
C) 105	D) 100

Answer & Explanation Answer: A) 120

Explanation:

Distance covered by A till 6pm = 60 km

Distance covered by A till 7 pm = 120 km

Time taken by B to catch A = 60/(80-60 ) = 3 hrs

So A and B will meet at 6pm + 3 hrs = 9pm

Since we know that all three met at the same time

The time taken by C to cover 120 km

difference will be = 9pm –7pm = 2hrs

Therefore,(x –60 )*2 = 120x = 120 km/hr

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Filed Under: Time and Distance
Exam Prep: Bank Exams

Q:

Consider the multiplication 999 × abc = def132 in decimal notation, where a, b, c, d, e and f are digits. What are the values of a, b, c, d, e and f respectively?

A) 6, 6, 8, 6, 8, 7	B) 8, 6, 8, 6, 7, 8
C) 6, 8, 8, 7, 8, 6	D) 8, 6, 8, 8, 6, 7

Answer & Explanation Answer: D) 8, 6, 8, 8, 6, 7

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

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