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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:

Radha and Hema are neighbours and study in the same school. Both of them use bicycles to go to the school. Radha’s speed is 8 km/hr whereas Hema’s speed is 10 km/hr. Hema takes 9 minutes less than Radha to reach the school. How far is the school from the locality of Radha and Hema?

A) 5 km	B) 5.5 km
C) 6 km	D) 6.5 km

Answer & Explanation Answer: C) 6 km

Explanation:

Let the distance between be D km

Time taken by radha – Time taken by Hema = 9 mins

So D/8 – D/10 = 9/60 hrs

D = 6km

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Filed Under: Time and Distance
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:

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:

Which one of the following is an irrational number?

A) √59059	B) 231/593
C) 0.454545....	D) 0.121122111222

Answer & Explanation Answer: D) 0.121122111222

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

Consider the following statements in respect of two integers p and q (both > 1) which are relatively prime:

1) Both p and q may be prime numbers.

2) Both p and q may be composite numbers

3) one of p and q may be prime and the other composite.

Which of the above statements are correct?

A) 1 and 2 only	B) 2 and 3 only
C) 1 and 3 only	D) 1, 2 and 3

Answer & Explanation Answer: D) 1, 2 and 3

Explanation:

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Filed Under: Numbers
Exam Prep: Bank Exams

Q:

x, y and z are three numbers such that x is 30% of z and y is 40% of z. If x is p% of y, then what is the value of p?

A) 45	B) 55
C) 65	D) 75

Answer & Explanation Answer: D) 75

Explanation:

x = 30% of z = 30z/100 = 3z/10

y = 40% of z = 40z/100 = 4z/10

According to the question,(x/y)*100 = p%

p% = 3z/100/4z/100×100= 75%

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Filed Under: Percentage
Exam Prep: Bank Exams

Q:

Suppose n is a positive integer such that $(n^{2} + 48)$ is a perfect square. What is the number of such n?

A) 1	B) 2
C) 3	D) 4

Answer & Explanation Answer: C) 3

Explanation:

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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams

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