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 Quantitative Aptitude - Arithmetic Ability Questions

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Q:

A sum of money at simple interest amounts to Rs. 415 in 2 years and to Rs. 514 in 4 years. The sum is ?

A) Rs. 316 B) Rs. 251
C) Rs. 154 D) Rs. 294
 
Answer & Explanation Answer: A) Rs. 316

Explanation:

S.I. for 2 years = (514 - 415) = Rs. 99
S.I. for 1 year = 99/2

Principal = (415 - 99) = Rs. 316.

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Filed Under: Simple Interest
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2 4336
Q:

There are two numbers such that the sum of twice the first number and thrice the second number is 300 and the sum of thrice the first number and twice the second number is 265. Which is the largest number ?

A) 24 B) 39
C) 85 D) 74
 
Answer & Explanation Answer: D) 74

Explanation:
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Filed Under: Quantitative Aptitude - Arithmetic Ability
Exam Prep: Bank Exams
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14 4332
Q:

Three unbiased coins are tossed. What is the probability of getting at most two heads ?

A) 4/3 B) 2/3
C) 3/2 D) 3/4
 
Answer & Explanation Answer: D) 3/4

Explanation:

Let S be the sample space.
Here n(S)= 23 = 8
Let E be the event of getting atmost two heads. Then,
n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}
Required probability = n(E)/n(S) = 6/8 = 3/4.

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Filed Under: Probability
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6 4328
Q:

A flagstaff 17.5 m high casts a shadow of length 40.25 m. What will be the height of a building, which casts a shadow of length 28.75 m under similar conditions ?  

A) 14 cm B) 13.5 cm
C) 12.5 cm D) 11.4 cm
 
Answer & Explanation Answer: C) 12.5 cm

Explanation:

Let the required height of the building be x meter

More shadow length, More height(direct proportion)

Hence we can write as

(shadow length) 40.25 : 28.75 :: 17.5 : x
⇒ 40.25 × x = 28.75 × 17.5
⇒ x = 28.75 × 17.5/40.25
= 2875 × 175/40250
= 2875 × 7/1610
= 2875/230
= 575/46
= 12.5 cm

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Filed Under: Height and Distance
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17 4319
Q:

Two trains are running with speeds 30 kmph and 58 kmph respectively in the same direction. A man in the slower train passes the faster train in 18 seconds. Find the length of the faster train?

A) 105 mts B) 115 mts
C) 120 mts D) 140 mts
 
Answer & Explanation Answer: D) 140 mts

Explanation:

Speeds of two trains = 30 kmph and 58 kmph

=> Relative speed = 58 - 30 = 28 kmph = 28 x 5/18 m/s = 70/9 m/s

Given a man takes time to cross length of faster train = 18 sec

 

Now, required Length of faster train = speed x time = 70/9  x  18 = 140 mts.

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Filed Under: Time and Distance
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3 4314
Q:

Priya can do a work in 16 days. In how many days will the work be completed by Sai, if the efficiency of Sai is 60% more than that of Priya ?

A) 8 days B) 12 days
C) 14 days D) 10 days
 
Answer & Explanation Answer: D) 10 days

Explanation:

Ratio of efficiencies of Priya and Sai is

Sai : Priya = 160 : 100 = 8 : 5

Given Priya completes the work in 16 days

Let number of days Sai completes the work be 'd'

=> 5×16 = 8×d

d = 10 days.

Therefore, number of days Sai completes the work is 10 days.

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Filed Under: Time and Work
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13 4313
Q:

Which of the following statement is correct about a triangle?

 

A) If the triangles are congruent then their area will be equal B) If the areas of two similar triangles are equal then the triangle is congruent
C) Two congruent triangles are always similar to each other D) All options are correct
 
Answer & Explanation Answer: D) All options are correct

Explanation:
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Filed Under: Area
Exam Prep: Bank Exams

0 4313
Q:

When John arrives in New York,he has eight stops to see, but he has time only to visit six of them.In how many different ways can he arrange his schedule in New York?

A) 20610 B) 24000
C) 20160 D) 21000
 
Answer & Explanation Answer: C) 20160

Explanation:

He can arrange his schedule in 8P6 = 20160 ways

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Filed Under: Permutations and Combinations

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