AMCAT DETAILS comes again with another compilation of Quantitative questions with detailed explanation which will be beneficial for students in terms of their preparation for AMCAT.

###

USE IT BY SUBSTITUTING AND MATCH FROM OPTION GIVEN

### Question: The product of two numbers is 9375 and the quotient, when the larger one is divided by the smaller, is 15. The sum of the numbers is:

### a) 380

### b) 395

### c) 400

### d) 425

Answer: (c)

Detailed Explanation:

Let the larger number be x

and let the smaller number be y

According to question

x*y=9375 -------1

x/y=15 -------2

Multiplying equation 1 and equation 2 we get,

x^2=140625

=> x=375

Now, just put the value of x in equation 2

then we get y= 25

Since sum of number must be x+y

375+25= 400

and let the smaller number be y

According to question

x*y=9375 -------1

x/y=15 -------2

Multiplying equation 1 and equation 2 we get,

x^2=140625

=> x=375

Now, just put the value of x in equation 2

then we get y= 25

Since sum of number must be x+y

375+25= 400

Therefore the answer is : (c)

Question: A cycled from P to Q at 10 kmph and returned at the rate of 9 kmph. B cycled both ways at 12 kmph. In the whole journey B took 10 minutes less than A. Find the distance between P and Q.

a) 3.75

b) 32.5

c) 37.5

d) 3.25

Answer: (a)

Detailed Solution:

We know that Time = Distance/Speed

Let Time taken by A is Ta and time taken by B is Tb.

Let D be the Distance.

Then,

Ta = (D/10 + D/9) = (19D/90) hrs

Tb = (D/12 + D/12) = (D/6) hrs

Tb = (Ta - 10 minutes)

= (Ta - (1/6)hours)

Ta = (D/10 + D/9) = (19D/90) hrs

Tb = (D/12 + D/12) = (D/6) hrs

Tb = (Ta - 10 minutes)

= (Ta - (1/6)hours)

=> D/6 = (19D/90) - (1/6)

=> 1/6 = (19D-15D)/90

=> 15 = 4D

=> D = 3.75 km

=> 1/6 = (19D-15D)/90

=> 15 = 4D

=> D = 3.75 km

Therefore, the answer is a.

Question: If QUESTION =DOMESTIC what will b code for RESPONSE ????

###

(a) OMESUCEM

### (b) OMESICSM

### (c) OMESICEM

### (d) OMESISCM

Answer: (c)

Detailed Explanation:

We can solve this question by comparing each characters in the given question.

Since QUESTION=DOMESTIC

USE E=M,S=E,O=I,N=C,S=E.USE IT BY SUBSTITUTING AND MATCH FROM OPTION GIVEN

That is:

R=O

E=M

S=E

P=S

O=I

N=C

S=E

E=M

E=M

S=E

P=S

O=I

N=C

S=E

E=M

Therefore the answer is c.

## 0 comments:

## Post a Comment