Aptitude and Reasoning Questions

Q:

P alone can do a piece of work in 24 days. The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work. How many days are required to complete by P and Q working together ?

A) 9 3/5 days B) 7 days
C) 6 3/7 days D) 8 days
 
Answer & Explanation Answer: A) 9 3/5 days

Explanation:

Let the total work be 'W'

As per the given information,

P can complete the work 'W' in 24 days.

=> one day work of P = W/24

And also given that,

The time taken by P to complete one-third of work is equal to time taken by Q to complete half of the work

=> PW/3 = QW/2

=> P's

1 day =    W/24

   ?    =      W/3

=>  ?  = 24W/3W  = 8

=> QW/2 = 8 days

=> Q alone can complete the work W in 16 days

=> P + Q can complete the work in

1/24 + 1/16 = 5/48

=> 48/5 days = 9 3/5 days.

Report Error

View Answer Report Error Discuss

Filed Under: Time and Work
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

18 9620
Q:

If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:

A) Rs. 408 B) Rs. 204
C) Rs. 412 D) Rs. 220
 
Answer & Explanation Answer: B) Rs. 204

Explanation:

Given ratio = 1/2:2/3:3/4 = 6:8:9

1st part = 782 x 6/23 = Rs. 204.

Report Error

View Answer Report Error Discuss

Filed Under: Ratios and Proportions
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

10 9616
Q:

Which of the following fractions is the least of all?

 

A) 6/5 B) 4/3
C) 3/2 D) 5/4
 
Answer & Explanation Answer: A) 6/5

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Decimal Fractions
Exam Prep: Bank Exams

2 9612
Q:

Hari Ram’s present age is three times his son’s present age and two fifth of his father’s present age. The average of the present age of all of them is 46 years. What is the difference between Hari Ram’s son’s present age and Hari Ram’s father’s present age? 

A) 44 yrs B) 56 yrs
C) 67 yrs D) 78 yrs
 
Answer & Explanation Answer: D) 78 yrs

Explanation:

Let Hari Ram's present age = x

Then, his son's age = x/3

Father's age = 5x/2

x + x3 + 52x3 = 46=> x = 36 yrs

Now the required difference = 52x36 - 363 = 78 yrs

Report Error

View Answer Report Error Discuss

Filed Under: Problems on Ages
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

11 9611
Q:

Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ?

A) 15 min 20 sec. B) 16 min 40 sec.
C) 13 min 10 sec. D) 14 min 40 sec.
 
Answer & Explanation Answer: D) 14 min 40 sec.

Explanation:

Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15

 

Remaining part = 1 - 7/15 = 8/15

 

Part filled by B in 1 minute = 1/20

 

1/20 : 8/15 :: 1 : k

 

k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.

 

The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

Report Error

View Answer Report Error Discuss

Filed Under: Pipes and Cistern
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

7 9610
Q:

If 200 cats kill 200 mice in 200 days, then 8 cats would kill 8 mice in how many days ?

A) 8 days B) 200 days
C) 800 days D) 1 day
 
Answer & Explanation Answer: B) 200 days

Explanation:

As given
200 cats kill 200 mice in 200 days
1 cats kill 1 mouse in 200 days
Then
8 cats kill 8 mice in 200 days.

Report Error

View Answer Report Error Discuss

Filed Under: Arithmetical Reasoning
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

10 9607
Q:

If the first and third letters in the word NECESSARY were interchanged, also the fourth and the sixth letters, and the seventh and the ninth letters, which of the follwing would be the seventh letter from the left ?

A) E B) S
C) R D) Y
 
Answer & Explanation Answer: D) Y

Explanation:

we interchange the positions of the letters as shown below:

                                  K11483936954.jpg image

The new letter sequence is CENSSEYRA.
Clearly, the seventh letter from the left is Y.

Report Error

View Answer Report Error Discuss

Filed Under: Alphabet Test
Exam Prep: Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

12 9605
Q:

A Rent Rs. 5000 to B for 2 years and Rs. 3000 to C for 4 years on simple interest at the same rate of interest and received Rs. 2200 in all from both of them as interest. The rate of interest per annum is:

A) 5% B) 7%
C) 7.5% D) 10%
 
Answer & Explanation Answer: D) 10%

Explanation:

 

Let the rate be R% p.a.

 

Then, 5000×r×2100+3000×r×4100=2200

 

Rate = 10% 

Report Error

View Answer Report Error Discuss

Filed Under: Simple Interest
Exam Prep: GRE
Job Role: Bank PO

9 9587