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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A plane is going in circles around an airport. The plane takes 3 minutes to complete one round. The angle of elevation of the plane from a point P on the ground at time t seconds is equal to that at time (t + 30) seconds. At time (t + x) seconds, the plane flies vertically above the point P. What is x equal to?

A) 75 seconds B) 90 seconds
C) 105 seconds D) 135 seconds
 
Answer & Explanation Answer: C) 105 seconds

Explanation:
Let the plane be at point A at t se
conds and at point B
after t + 30 seconds
Since the motion is uniform, we can say that at time t+15 seconds, the plane is above the point is
diametrically opposite to the point P from where the angle is same.
Now since the time taken to cover the full circ
le is 3 minutes (180
seconds), the time taken by the plane
to reach the diametrically opposite point will be 90 seconds.
So the time after which the plane reaches the point P will be = t+ 15 + 90 seconds = (t + 105 )seconds
 
 
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Filed Under: Time and Distance
Exam Prep: Bank Exams

3 3507
Q:

In an election between two candidates, the winning candidate has got 70% of the votes polled and has won by 15400 votes. What is the number of votes polled for loosing candidate?

A) 38500 B) 11550
C) 26950 D) 13550
 
Answer & Explanation Answer: B) 11550

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

5 3506
Q:

Calculate the effective interest rate of a 10% annual rate compounded continuously.

A) 9.52% B) 10.52%
C) 11.52% D) 12.52%
 
Answer & Explanation Answer: B) 10.52%

Explanation:

E=e^i-1

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

0 3505
Q:

A loan is made for $3500 with an interest rate of 9% and payments made annually for 4 years. What is the payment amount?

A) 8906 B) 1089
C) 1070 D) 1080.34
 
Answer & Explanation Answer: D) 1080.34

Explanation:

 

A=R[(1+i)^n-1]/i(1+i)^n

 

 

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Filed Under: Compound Interest
Exam Prep: Bank Exams
Job Role: Bank PO

1 3505
Q:

After replacing an old member by a new member, it was found that the average age of five members of a club is the same as it was 3 years ago. The difference between the ages of the replaced and the new members?

A) 16 years B) 15 years
C) 14 years D) 13 years
 
Answer & Explanation Answer: B) 15 years

Explanation:

Let avg ages of 5 members at present is G

And age of new member is m and an older is n

Required = (5G + m - n)/5 = G - 3

m - n = 15 years

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Filed Under: Average
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Analyst , Bank Clerk , Bank PO

16 3502
Q:

If x / y is an integer, which of the following statements need NOT always be true?

A) both x and y are integers B) only x is a integer
C) both are negative D) none
 
Answer & Explanation Answer: A) both x and y are integers

Explanation:

In case (A), x and y could, for example, both be equal fractions and x/y would be an integer.

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Filed Under: Numbers
Exam Prep: GRE

2 3498
Q:

When a number is divided by 138 the remainder is 26. What will be the remainder if the same number is divided by 23 ?

A) 4 B) 6
C) 3 D) 1
 
Answer & Explanation Answer: C) 3

Explanation:

Number = quotient x divisor + remainder;
so, here
number = 138 k + 26
=> (23 x 6k) + (23+3)
=> 23(6k+1)+3
so, remainder is 3.

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

4 3498
Q:

In how many ways the letters of the word 'CIRCUMSTANCES' can be arranged such that all vowels came at odd places and N always comes at end?

A) 1,51,200 ways. B) 5,04,020 ways
C) 72,000 ways D) None of the above
 
Answer & Explanation Answer: A) 1,51,200 ways.

Explanation:

In circumcstances word there are 3C's, 2S's, I, U,R, T, A, N, E

Total = 13 letters

But last letter must be N

Hence, available places = 12

In that odd places = 1, 3, 5, 7, 9, 11

Owvels = 4

This can be done in 6P4 ways 

Remaining 7 letters can be arranged in 7!/3! x 2! ways

 

Hence, total number of ways = 6P4 x 7!/3! x 2! = 360 x 5040/12 = 1,51,200 ways.

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Filed Under: Permutations and Combinations
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Analyst , Bank Clerk , Bank PO

3 3496