Quantitative Aptitude - Arithmetic Ability Questions

Q:

A sequence a, ax, ax2, ......, axn, has odd number of terms. Then the median is

 

A) axn2+1 B) axn2-1
C) axn-1 D) axn2
 
Answer & Explanation Answer: D) axn2

Explanation:
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Filed Under: Probability
Exam Prep: Bank Exams

3 4097
Q:

Karthik could cover a distance of 200 km in 22 days while resting for 2 hrs. per day. In how many days (approx) he will cover a distance of 250 km while resting for 2 hrs. per day and moving with 2/3rd of the previous speed ?

A) 41.25 days B) 37.5 days
C) 39.75 days D) 40 days
 
Answer & Explanation Answer: A) 41.25 days

Explanation:

Given Karthik can cover the distance of 200 kms resting 2 hrs per day in 22 days.

 

Let the initial speed be '1'

 

Hence, Time = 22(24hrs - 2)

 

Noe new speed = 2/3

 

Let the number of days he take be 'D'

 

Therefore, 2224-2x3200=D24-2x2250

 

D = 11 x 3 x 5/4 = 41.25 days. = 41 1/4 days.

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Filed Under: Time and Distance
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

9 4092
Q:

The present worth of a bill due sometime hence is Rs. 1100 and the true discount on the bill is Rs. 110. Find the banker's discount and the banker's gain.

A) Rs.145 B) Rs.136
C) Rs.121 D) Rs.112
 
Answer & Explanation Answer: C) Rs.121

Explanation:

T.D. =Ö(P.W.*B.G)

B.G. =(T.D.)2/ P.W.      

       = Rs.[(110x110)/ 1100]

       = Rs. 11.

 

B.D.= (T.D. + B.G.) = Rs. (110 + 11) = Rs. 121.

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Filed Under: Banker's Discount

1 4091
Q:

Find the effective rate of interest for an investment that earns 5 1/2% per year, compounded continuously

A) 5.65% B) 5.75%
C) 5.85% D) 5.95%
 
Answer & Explanation Answer: A) 5.65%

Explanation:

We are not given a value of P in this problem, so either pick a value

for P and stick with that throughout the problem, or just let P = P.

We have that t = 1, and r = .055. To find the effective rate of interest,

first find out how much money we have after one year:

A = Pert

A = Pe(.055)(1)

A = 1.056541P.

Therefore, after 1 year, whatever the principal was, we now have 1.056541P.

Next, find out how much interest was earned, I, by subtracting the initial amount of money from the final amount:

I = A − P

  = 1.056541P − P

  = .056541P.

Finally, to find the effective rate of interest, use the simple interest formula, I = Prt. So,

I = Pr(1) = .056541P

.056541 = r.

Therefore, the effective rate of interest is 5.65%

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

1 4087
Q:

Find the Odd one out of the following Numbers?

A) 3 B) 19
C) 67 D) 133
 
Answer & Explanation Answer: D) 133

Explanation:

Here among the given numbers, 3, 19, 67 are prime numbers. And 133 is not a prime number.

 

Hence, the odd number of the given numbers is 133.

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3 4086
Q:

The B.G. on a certain sum 4 years hence at 5% is Rs. 200. What is the present worth?

A) Rs. 4500 B) Rs. 6000
C) Rs. 5000 D) Rs. 4000
 
Answer & Explanation Answer: C) Rs. 5000

Explanation:

T = 4 years

R = 5%

Banker's Gain, BG = Rs.200

 

TD= BG×100TR=200×1004×5=Rs.1000

 

 TD=PW×BG

 

1000=PW×200

 

=>PW = Rs.5000

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Filed Under: Banker's Discount

3 4081
Q:

What value should come in place of the question mark (?) in the following question?

325-122+75=?2-68

A) 18 B) 324
C) 18 D) 3242
 
Answer & Explanation Answer: C) 18

Explanation:

?2 = 325 – 144 + 75 + 68
= 468 – 144 = 324
(?) = 18,-18

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0 4080
Q:

72 ÷ 52 × 3272 ÷ 52 of 32 ÷ 5.25

A) 3/5 B) 3/6
C) 3/7 D) 3/8
 
Answer & Explanation Answer: C) 3/7

Explanation:

75x321415 ÷ 52510094 ÷ 5251009002100= 37

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

1 4076