Aptitude and Reasoning Questions

Q:

The probability that a bowler bowled a ball from a point will hit by the batsman is ¼. Three such balls are bowled simultaneously towards the batsman from that very point. What is the probability that the batsman will hit the ball ?

A) 37/64 B) 27/56
C) 11/13 D) 9/8
 
Answer & Explanation Answer: A) 37/64

Explanation:

Probability of not hitting the ball = 1- 1/4 =IBPS RRB Clerk Level Quiz : Quantitative Aptitude | 11 -09 - 17
Then, the probability that the batsman will hit the ball =IBPS RRB Clerk Level Quiz : Quantitative Aptitude | 11 -09 - 17

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Filed Under: Probability
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14 4919
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 4914
Q:

Payments of $2000 and $1000 were originally scheduled to be paid one year and five years, respectively, from today. They are to be replaced by a $1500 payment due four years from today, and another payment due two years from today. The replacement stream must be economically equivalent to the scheduled stream. What is the unknown payment, if money can earn 7% compounded semiannually?

A) 1548 B) 1348
C) 1648 D) 1748
 
Answer & Explanation Answer: C) 1648

Explanation:

FV1 = Future value of $2000, 1 year later
= PV (1+  i)^n

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Filed Under: Compound Interest
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2 4914
Q:

Find the next number in the series 265, 269, 278, 284, ?

A) 309 B) 319
C) 298 D) 415
 
Answer & Explanation Answer: A) 309

Explanation:

The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52...

The next number is 284+25 = 309.

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Filed Under: Number Series
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9 4913
Q:

A jeep travels a certain distance taking 6 hrs in forward journey, during the return journey increased speed 12km/hr takes the times 4 hrs. What is the distance travelled by the jeep is ?

A) 244 km B) 144 km
C) 444 km D) 344 km
 
Answer & Explanation Answer: B) 144 km

Explanation:

Given a jeep travels a certain distance taking 6 hrs in forward journey
During the return journey, it takes 4 hrs with an increased speed 12 km/hr
Let 'x' be the distance.
Now, speed is given by distance/time.
Here the difference between both speeds = 12

 x4 - x6 = 12

 3x - 2x12 = 12

 

=> x = 144 km

 

Therefore, the distance travelled by the jeep in forward or return journey is x = 144 km.

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Filed Under: Time and Distance
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3 4906
Q:

Determine the total number of five-card hands that can be drawn from a deck of 52 cards.

A) 2589860 B) 2598970
C) 2598960 D) 2430803
 
Answer & Explanation Answer: C) 2598960

Explanation:

When a hand of cards is dealt, the order of the cards does not matter. If you are dealt two kings, it does not matter if the two kings came with the first two cards or the last two cards. Thus cards are combinations. There are 52 cards in a deck and we want to know how many different ways we can put them in groups of five at a time when order does not matter. The combination formula is used.

C(52,5) = 2,598,960

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1 4906
Q:

Study the diagram given below and answer the questions based on it.

 

 represents Persons who like Reading

 represents Persons who like Cycling 

 represents Persons who like Trekking

 

 

How many persons like Reading and Cycling but not Trekking?

A) 31 B) 12
C) 26 D) 28
 
Answer & Explanation Answer: A) 31

Explanation:
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Filed Under: Logical Venn Diagram
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0 4903
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
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9 4899