Aptitude and Reasoning Questions

Q:

What is the ratio between the volumes of a cylinder and cone of the same height and of the same diameter

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

Explanation:

Volume of cylinder / Volume of cone = 3/1

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Filed Under: Volume and Surface Area
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1 7863
Q:

0.002 * 0.5 = ?

A) 0.0001 B) 0.001
C) 0.01 D) 0.1
 
Answer & Explanation Answer: B) 0.001

Explanation:

2 * 5 = 10. Sum of decimal places =  4.

.002  * .5 = 0.0010 = 0.001 

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Filed Under: Decimal Fractions

16 7860
Q:

A word arrangement machine, When given an input line of words, rearranges it in every step following a certain rule. Following is an illustration of an input line of words and various steps of rearrangement.


Input: gone are take enough brought station
Step 1: take gone are enough brought station
Step 2: take are gone enough brought station
Step 3: take are station gone enough brought
Step 4: take are station brought gone enough
And Step 4 is the last step for this input. Now, find out an appropriate step in the following question following the above rule.

Question:
Input: car on star quick demand fat
What will be the third step for this input ?

A) star car demand quick on fat B) star quick car demand on fat
C) star car quick demand on fat D) none of these
 
Answer & Explanation Answer: C) star car quick demand on fat

Explanation:

Obsrving the given arrangement, we find the following pattern:
If we arrange the words in the given input in the alphabetical order and then label them as 1,2,3,4,5,6, then the last step contains the words in the order 6,1,5,2,4,3. However, the position of only one word is alteredat each step.
Input:car on star quick demand fat
Step1: star car on quick demand fat
Step2: star car quick on demand fat
Step3: star car quick demand on fat

Hence, the answer is C

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Filed Under: Sequential Output Tracing
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22 7857
Q:

Avanthi’s age is 1/6th of her father’s age. Her father’s age will be twice of Kapil’s age after 10 years. If Kapil’s eighth birthday was celebrated two years ago, then what is Avanthi’s present age ?

A) 6 years B) 4 years
C) 7 years D) None
 
Answer & Explanation Answer: D) None

Explanation:

As given Kapil's 8th birthday was celebrated 2 years ago,

Kapil’s present age = 8 + 2 = 10 years.

Father's age is twice of Kapil’s age after 10 years.
=> F + 10 = 2 (K + 10) = 2 (10+ 10)
F = 30years,

Avanthi's age =1/6(F) = 30/6 = 5 years.

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Filed Under: Problems on Ages
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10 7853
Q:

One-third of the boys and one-half of the girls of a college participated in a sport. If the number of participating students is 300, out of which 100 are boys. What is the total number of students in the college?

A) 500 B) 300
C) 600 D) 700
 
Answer & Explanation Answer: D) 700

Explanation:

Let number of boys in the school = x

Let number of girls in the school = y

Number of students participated in the sports = 300

Out of which boys = 100

but given number of boys participated in sports = x/3

=> x/3 = 100

=> x = 300

Remaining girls = 300 - 100 = 200

=> y/2 = 200

=> y = 400

Therefore, total number of students in the school = x + y = 300 + 400 = 700

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Filed Under: Percentage
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15 7852
Q:

Two boys are playing on a ground. Both the boys are less than 10 years old. Age of the younger boy is equal to the cube root of the product of the age of the two boys. If we place the digit representing the age of the younger boy to the left of the digit representing the age of the elder boy, we get the age of the father of the younger boy. Similarly, we place the digit representing the age of the elder boy to the left of the digit representing the age of the younger boy and divide the figure by 2, we get the age of the mother of the younger boy. The mother of the younger boy is younger than his father by 3 years. Then, what are the ages of elder and younger boys ?

A) E = 15 & Y = 3 B) E = 14 & Y = 12
C) E = 40 & Y = 22 D) E = 4 & Y = 2
 
Answer & Explanation Answer: D) E = 4 & Y = 2

Explanation:

Let the the age of the elder boy = E

 

Let the the age of the younger boy = Y

 

Given that Y = cube root of EY

 


=> Y3 = EY => E = Y2 .....(1)
By the condition of number replacement the age of the father is YE

 

The Mother's age = EY/2

 

But she is 3 years less than father => EY/2 + 3 = YE
2YE = EY + 6 ......(2)

 

Then now from the given options we can identify which satisfies the all the conditions.

 

Here Y =2 and E = 4 satisfies all the conditions.

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Filed Under: Problems on Ages
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8 7848
Q:

                        Items of Expenditure

         
Year Salary Food Medicine Tax
2001 Rs.1500 Rs.200 Rs.500 Rs.100
2002 Rs.2600 Rs.300 Rs.600 Rs.200
2003 Rs.3200 Rs.150 Rs.700 Rs.150
2004 Rs.4100 Rs.250 Rs.650 Rs.125
2005 Rs.5000 Rs.200 Rs.800 Rs.150
2006 Rs.5200 Rs.100 Rs.750 Rs.175

 

The average salary per year during period 2001-2006 is:

 

A) 3400 B) 3800
C) 3500 D) 3600
 
Answer & Explanation Answer: D) 3600

Explanation:
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Filed Under: Table Charts
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0 7843
Q:

How many number of weights do you need to weight 31 kg of Rice if you have one kg of weight stone ?

A) 3 B) 5
C) 7 D) 9
 
Answer & Explanation Answer: B) 5

Explanation:

There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.

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Filed Under: Arithmetical Reasoning
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