Aptitude and Reasoning Questions

Q:

A can complete a work in 12 days with a working of 8 hours per day. B can complete the same work in 8 days when working 10 hours a day. If A and B work together, working 8 hours a day, the work can be completed in --- days  ?

A) 51/24 B) 87/5
C) 57/12 D) 60/11
 
Answer & Explanation Answer: D) 60/11

Explanation:

A can complete the work in 12 days working 8 hours a day

=> Number of hours A can complete the work = 12×8 = 96 hours 

=> Work done by A in 1 hour = 1/96

 

B can complete the work in 8 days working 10 hours a day

=> Number of hours B can complete the work = 8×10 = 80 hours 

=> Work done by B in 1 hour = 1/80

 

Work done by A and B in 1 hour = 1/96 + 1/80 = 11/480

 => A and B can complete the work in 480/11 hours

 

A and B works 8 hours a day.

Hence total days to complete the work with A and B working together 

= (480/11)/ (8) = 60/11 days

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

4 3535
Q:

A farmer buys a goat and a sheep for Rs 3500. He sold the sheep at a profit of 20 percent and the goat at a loss of 10 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?

A) 2000 B) 1500
C) 1750 D) 2250
 
Answer & Explanation Answer: B) 1500

Explanation:
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Filed Under: Profit and Loss
Exam Prep: Bank Exams

10 3534
Q:

3, 12, 5, ?

A) 36 B) 26
C) 30 D) 24
 
Answer & Explanation Answer: C) 30

Explanation:

332 + 3 = 12552 + 5 = 30

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Filed Under: Odd Man Out
Exam Prep: AIEEE , Bank Exams , CAT , GATE
Job Role: Bank Clerk , Bank PO

10 3534
Q:

A is father of X; B is mother of Y. The sister of X and Z is Y. which of the following statements is definitely not true?

A) B is the Mother of Z B) X is the Sister of Z
C) Y is the Son of A D) B is the Wife of A
 
Answer & Explanation Answer: C) Y is the Son of A

Explanation:

A is the father of X and Y is the sister of X. So, Y is the daughter of A.

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Filed Under: Blood Relations

11 3533
Q:

From container A containing 54 liter of mixture of milk and water in ratio of 8 : 1 , 18 liter of the mixture is taken out and poured into container B in which ratio of milk to water is 3 : 1. If difference between total milk and total water in container B is 30 liter then find the quantity of initial mixture in container B. 

A) 30 Liter  B) 28 Liter 
C) 32 Liter  D) 36 Liter 
 
Answer & Explanation Answer: C) 32 Liter 

Explanation:

Let initially milk and water in container B is 3x liter and x liter respectively

Now, 3x + (8/9) × 18 – x – (1/9) × 18 = 30

3x + 16 – x – 2 = 30

x = 8

Initial quantity is container B = 8 (3 + 1) = 32 Liter.

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Filed Under: Alligation or Mixture
Exam Prep: AIEEE , Bank Exams , CAT

7 3531
Q:

1 bottle of honey costs Rs 240 but a pack of 4 of the same bottles costs Rs 768. What is the effective discount (in %) on the pack?

A) 16 B) 25
C) 10 D) 20
 
Answer & Explanation Answer: D) 20

Explanation:
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Filed Under: Percentage
Exam Prep: Bank Exams

0 3530
Q:

The series of differences between consecutive prime numbers is represented as Cp1, Cp2, Cp3, .... Cpn , Whare Cp1 is the difference between the second and the first prime number. Find the sum of series when n = 23, given that the 23rd prime number is 83 ? 

A) 87 B) 81
C) 83 D) 85
 
Answer & Explanation Answer: A) 87

Explanation:

Cp1 = p2 - p1 ,
Cp2 = p3 - p2
..
..
..
Cp23 = p24 - p23
Sum of series = (p2-p1) + (p3-p2) + .....(p23-p22) + (p24-p23)
All terms get cancelled, except p1 = 2 and p24 = 89
So Sum = -p1 + p24
Sum of series = -2 + 89 = 87

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Filed Under: Problems on Numbers
Exam Prep: AIEEE , Bank Exams , CAT , GATE
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4 3529
Q:

If white is called black, black is called red, red is called yellow, yellow is called green, green is called blue, blue is called violet and violet is called orange, what would be the colour of human blood?

A) green B) black
C) red D) yellow
 
Answer & Explanation Answer: D) yellow

Explanation:
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Filed Under: Analytical Reasoning
Exam Prep: Bank Exams

9 3526