Aptitude and Reasoning Questions

Q:

In how many ways can you choose one or more of 12 different candies?

A) 4054 B) 4050
C) 4095 D) 4059
 
Answer & Explanation Answer: C) 4095

Explanation:

Each candy can be dealt with in two ways.It can be chosen or not chosen.This will give 2 possibilites for the first candy, 2 for the second, and so on.by multiplying the cases together we get 212. Since the case of no candy being selected is not an option, we have to subtract 1 from our answer.

 

Therefore,there are 212- 1 = 4095 ways of selecting one or more candies

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0 8473
Q:

Two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively. Find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?

A) 1102 km B) 1060 km
C) 960 km D) 1250 km
 
Answer & Explanation Answer: C) 960 km

Explanation:

60(x + 1) = 64x

X = 15

60 x 16 = 960 km

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Filed Under: Time and Distance
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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7 8460
Q:

Ajay who is a King, at his eleventh hour, called his three queens and distributed his gold in the following way: He gave 50% of his wealth to his first wife, 50% of the rest to his second wife and again 50% of the rest to his third wife. If their combined share is worth1,30,900 kilograms of gold, find the quantity of gold King Ajay was having initially?

A) 153145 kgs B) 147890 kgs
C) 152400 kgs D) 149600 kgs
 
Answer & Explanation Answer: D) 149600 kgs

Explanation:

Let the total quantity of gold be p kgs.

According to the question,

50% of p + 25% of p + 12.5% of p = 130900

87.5% of p = 130900

p = 130900 x 100/87.5  = 149600 kgs.

 

Therefore, the initial gold quantity that king has = p = 149600 kgs.

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7 8457
Q:

Which of the following pairs have the same relationship as OFTEN : FOTEN?

A) HEART : TRAHE B) OPENS : SNEOP
C) RISKY : IRSYK D) FIRST : IFRST
 
Answer & Explanation Answer: C) RISKY : IRSYK

Explanation:

      It is a case of shifting as given below:

 

      1  2  3  4  5                    2  1  3  5  4

 

      O  F  T  E  N     F  O  T  N  E

 

---------------------------------------------------------------------------

 

       1  2  3  4  5                   5  4  3  1  2

 

1.    H  E  A  R  T             T  R  A  H  E    

 

2.    O  P  E  N  S    S  N  E  O  P

 

        1  2  3  4  5         2  1  3  5  4

3.    R  I  S  K  Y     I  R  S  Y  K

 

 

4.    F  I  R  S  T     I  F  R  S  T

 

Hence option 3 is correct.

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Filed Under: Analogy
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19 8450
Q:

Lucky started working 2 years ago. Her starting salary was half of Karthik's salary at that time. Each year since then Lucky and Karthik have received a rise of 10% in their respective salary. What percentage (to the nearest percent) of Karthik's current salary is Lucky's current salary ?

A) 75% B) 22.5%
C) 35% D) 50%
 
Answer & Explanation Answer: D) 50%

Explanation:

Let the salary of Karthik 2 years ago be Rs.100
So, Lucky's salary 2 years ago was Rs.50

 

Karthik's present salary has seen two 10 percent increases. So as Lucky's salary.

So, Karthik's salary 1 year ago = 100 + 10% of 100 = 100 + 10 = 110.
Karthik's present salary = 110 + 10% of 110 = 110 + 11 = 121.

 

Lucky's salary 1 year ago = 50 + 10% of 50 = 50 + 5 = 55
Lucky's present salary = 55 + 10% of 55 = 55 + 5.5 = 60.5

 

Lucky's present salary of 60.5 = 50% of Karthik's present salary of 121.

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Filed Under: Percentage
Exam Prep: CAT , Bank Exams , AIEEE
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20 8439
Q:

The sum of the present ages of a father and his son is 126 years. 8 years ago their respective ages were in the ratio of 7 : 4. After 7 years what will be the ratio of ages of father and son?

 

A) 23 : 19 B)  17 : 11
C)  27 : 20 D) 34 : 23
 
Answer & Explanation Answer: B)  17 : 11

Explanation:
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Filed Under: Problems on Ages
Exam Prep: Bank Exams

35 8427
Q:

43% of 616.6 + 37% of 217 =?

A) 345.428 B) 354.428
C) 344.428 D) 364.428
 
Answer & Explanation Answer: A) 345.428

Explanation:

43 x 616.6/100 + 37 x 217/100

=> 265.138 + 80.29

=>  345.428

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Filed Under: Simplification
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2 8423
Q:

Choose the missing terms out of the given alternatives ejo, tyd, ins, xch, ?

A) mrw B) nrw
C) nsx D) nsw
 
Answer & Explanation Answer: A) mrw

Explanation:

There is a gap of 4 letters between the first and second, second and third letters of each term, and also between the last letter of the term and first letter of next term

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Filed Under: Number Series

29 8423