Aptitude and Reasoning Questions

Q:

If x = √8 - √7, y = √6 - √5 and z = √10 - 3, which of the following is true  ?

A) x > y < z B) x < y < z
C) x > y > z D) z < x < y
 
Answer & Explanation Answer: D) z < x < y

Explanation:

x = √8 - √7 = 1/(√8 + √7) and y = √6 - √5 = 1/(√6 + √5) and z = √10 - 3 = 1/(√10 + 3)

As (√8 + √7) > (√6 + √5), (√8 - √7) < (√6 - √5)

As (√10 + 3) > (√8 + √7) > (√6 + √5)

z < x < y.

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Filed Under: Arithmetical Reasoning
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6 5419
Q:

If a, b, c be the pth, qth and rth terms of a GP then the value of (q-r) log a + (r-p) log b + (p-q) log c is :

A) 0 B) 1
C) -1 D) pqr
 
Answer & Explanation Answer: A) 0

Explanation:

 

 

                             

                             

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Filed Under: Logarithms
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13 5418
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 5414
Q:

Which statement best compares a line and a point?

A) A point has no dimension and a line has one dimension. B) A line can have line segments on it whereas a point cannot be on any line segment.
C) point is a location whereas a line has several planes located on it D) A line can lie on a plane whereas a point cannot lie on a plane.
 
Answer & Explanation Answer: A) A point has no dimension and a line has one dimension.

Explanation:

A point has no dimension and a line has one dimension is the statement that best compares a line and a point.

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Filed Under: Arithmetical Reasoning
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4 5411
Q:

There are 3 bags, in 1st there are 9 Mangoes, in 2nd 8 apples & in 3rd 6 bananas. There are how many ways you can buy one fruit if all the mangoes are identical, all the apples are identical, & also all the Bananas are identical ?

A) 23 B) 432
C) 22 D) 431
 
Answer & Explanation Answer: A) 23

Explanation:

As in this problem , buying any fruit is different case , as buying apple is independent from buying banana. so ADDITION rule will be used.

 

C19+C18+C16 = 23 will be answer.

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Filed Under: Permutations and Combinations
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2 5411
Q:

Find the sum of the all the numbers formed by the digits 2,4,6 and 8 without repetition. Number may be of any of the form like 2,24,684,4862 ?

A) 133345 B) 147320
C) 13320 D) 145874
 
Answer & Explanation Answer: B) 147320

Explanation:

Sum of 4 digit numbers = (2+4+6+8) x P33 x (1111) = 20 x 6 x 1111 = 133320 


Sum of 3 digit numbers = (2+4+6+8) x P23 x (111) = 20 x 6 x 111 = 13320 


Sum of 2 digit numbers = (2+4+6+8) x P13 x (11) = 20 x 3 x 11 = 660 


Sum of 1 digit numbers = (2+4+6+8) x P03 x (1) = 20 x 1 x 1 = 20 

 

Adding All , Sum = 147320

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Filed Under: Permutations and Combinations
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2 5401
Q:

In a certain code language, "TOAST" is written as "03210" and "RIGID" is written as "45759". How is "DOOR" written in that code language?

A) 9331 B) 9334
C) 3390 D) 1314
 
Answer & Explanation Answer: B) 9334

Explanation:
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Filed Under: Coding and Decoding
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1 5397
Q:

Simon deposits $400 in an account that pays 3% interest compounded annually. What is the balance of Simon’s account at the end of 2 years?

A) 424.36 B) 524.56
C) 545.36 D) 456.36
 
Answer & Explanation Answer: A) 424.36

Explanation:

I=Prt

 

I=12

 

Balance = P +Prt

 

412

 

Find the balance at the end of the second year.

 

I = Prt=12.36

 

Balance =P + Prt

 

424.36

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Filed Under: Compound Interest
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0 5390