Quantitative Aptitude - Arithmetic Ability Questions

Q:

Two dice are tossed. The probability that the total score is a prime number is :

A) 1/6 B) 1/2
C) 5/12 D) 3/4
 
Answer & Explanation Answer: C) 5/12

Explanation:

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Filed Under: Probability

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Q:

An individual deposited 20% of 25% of 30% of what he had into his account with a bank. If he deposited Rs.750, how much was he having initially with him before depositing ?

A) Rs. 38000 B) Rs. 47000
C) Rs. 50000 D) Rs. 35000
 
Answer & Explanation Answer: C) Rs. 50000

Explanation:

Let 'x' be the amount he had in the bank.

=> 20/100(25/100(30/100(x))) = 750

x = 750 x 8000/120 = Rs. 50000

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Filed Under: Percentage
Exam Prep: AIEEE , Bank Exams , CAT , GATE , GRE
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Q:

If the simple interest on a sum of money for 2 years at 5% per annum is Rs. 50, what is the compound interest on the same at the same rate and for the same time?

A) Rs.51.25 B) Rs.52
C) Rs.53 D) Rs.54
 
Answer & Explanation Answer: A) Rs.51.25

Explanation:

Sum =Rs.(50 x 100/2x5)

= Rs. 500.

Amount

=[Rs.500x(1+5/100)²]

=Rs(500x21/20x21/20).

=Rs. 551.25

 

C.I

= Rs. (551.25 - 500)

= Rs. 51.25

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

3 7387
Q:

If a soldier fires 7 shots from a gun in 12 minutes then find the total number of shots fired by the man in 3/2 hrs.

A) 45 B) 44
C) 46 D) 47
 
Answer & Explanation Answer: C) 46

Explanation:

Here given soldier shots 7 shots in 12 min

=> 1 shot doen't take any time in 12 min 

=> Only 6 shots take 12 min 

12 min ------ 6 shots 

90 min ------ ? shots 

=> 90 x (6/12) = 45 

Therefore, total shots fired in 90 minutes = 45 + 1 = 46 shots.

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Q:

It costs Rs. p each to send the first thousand messsages and Rs. q to send each subsequent one . If r is greater than 1,000, how many Rupees will it cost to send r messages ?

A) 1000 (r - p) + pq B) 1000 p + qr
C) 1000 (r - q) + pr D) 1000(p - q) + qr
 
Answer & Explanation Answer: D) 1000(p - q) + qr

Explanation:

We need to find the total cost to send r messsages, r > 1000.

The first 1000 messsages will cost Rs.p each (Or) 

The total cost of first 1000 messsages = Rs.1000p

The remaining (r - 1000) messsages will cost Rs.q each (Or)

The cost of the (r - 1000) = Rs.(r - 1000)y

 

Therefore, total cost = 1000p + rq - 1000q

= 1000(p - q) + qr

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

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Q:

 40 % of 250 = 50% ?

A) 200 B) 100
C) 150 D) 400
 
Answer & Explanation Answer: A) 200

Explanation:

As per given 

 

 40100×250 =50100×x

 

x=200

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Filed Under: Problems on Numbers
Exam Prep: Bank Exams
Job Role: Bank PO

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Q:

The true discount on a bill due 9 months hence at 12% per annum is Rs. Find the amount of the bill and its present worth.

A) 1500 B) 1600
C) 6200 D) 6000
 
Answer & Explanation Answer: D) 6000

Explanation:

Let amount be Rs. x. 

Then,  [X * R * T] / [100+(R * T)]  

x×12×34100+12×34 = 540 

x=  Rs.6540  

Amount = Rs. 6540.  

P.W. = Rs. (6540 – 540) =Rs. 6000.

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Filed Under: True Discount

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Q:

Find the ratio of the surfaces of the inscribed and circumscribed spheres about a cube.

A) 1:2 B) 1;3
C) 1:4 D) 1:5
 
Answer & Explanation Answer: A) 1:2

Explanation:

 4×3.14×r2 : 4×3.14×r2 = 1 : 2  

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Filed Under: Volume and Surface Area
Exam Prep: Bank Exams
Job Role: Bank PO

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