Aptitude Hack#102(5-6-19)

Question:

Ram and Hari started from A and B, towards B and A at 6.00 am and 7.00 am respectively. They meet each other at 9.00 am and continued towards their respective destinations. Ram reaching B turns back and catches up with Hari before Hari reaches A at 11.00 am. At what time will Hari reach A.

 (a) 7.00 pm
 (b) 4.00 pm
 (c) 5.00 pm
 (d) 6.00 pm

Read More

Aptitude Hack#101(4-6-19)

Question:

A tin of oil was 4/5 full.when 6 bottles of oil were taken out and four bottles of oil were poured into it, it was ¾ full. how many bottles of oil can the tin contain?
  
 A )   35
 B )   50
 C )   40
 D )   45

Read More

Aptitude Hack#100(3-6-19)

Question:

A person has the capability of thinking 100 lines of code in five minutes and can type 100 lines of code in 10 minutes. He takes a break for five minutes after every ten minutes. How many lines of codes will he complete typing after an hour? 

(a) 100
(b) 250
(c) 350
(d) 600

Read More

Aptitude Hack#69(3-5-19)

Question:

Hari(H), Gita(G), Irfan(I) and Saira(S) are siblings (i.e., brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than three years. Given the following facts:

1. Hari's age + Gita's age > Irfan's age + Saira's age
2. The age difference between Gita and Saira is one year. However, Gita is not the oldest and Saira is not the youngest.
3. There are no twins.

In what order they were born (oldest first)?

A) HSIG
B) SGHI
C) IGSH
D) IHSG

Read More

Aptitude Hack#69(3-5-19)

Question:

Hari(H), Gita(G), Irfan(I) and Saira(S) are siblings (i.e., brothers and sisters). All were born on 1st January. The age difference between any two successive siblings (that is born one after another) is less than three years. Given the following facts:

1. Hari's age + Gita's age > Irfan's age + Saira's age
2. The age difference between Gita and Saira is one year. However, Gita is not the oldest and Saira is not the youngest.
3. There are no twins.

In what order they were born (oldest first)?

A) HSIG
B) SGHI
C) IGSH
D) IHSG

Answer: B) SGHI

Explanation:

Given that, 

H+G>S+I
No twins, 
And either G=S+1 or S=G+1
G is not the oldest and S is not the youngest. 

Let us analyze each case, 

Case 1:

G=S+1, 

It implies, H>I−1 Since twins are not possible H>I

Case 2:

G=S−1, 
It implies H>I+1

Therefore, both cases imply H is older than I, also G and S must be placed successively. 

Only option B satisfies these implications. 

Read More

Aptitude Hack#50(14-4-19)

Question:

Which number does not belong in the series below? 

2, 5, 10, 17, 26, 37, 50, 64

A) 17
B) 37
C) 64
D) 26

Read More

Aptitude Hack#50(14-3-19)

Question:
Which number does not belong in the series below? 
2, 5, 10, 17, 26, 37, 50, 64
A) 17
B) 37
C) 64
D) 26

Answer D) 64

 Explanation: 
Given series is 2,5,10,17,26,37,50,64.

Here the total number of terms are 8..i.e. A(1) to A(8).

For the 1st 7 terms, you can observe the relationship  between the terms which is 
A(n) = [ A(n-1) - {A(n-1) + A(n-2)} + 2 ] 
where n >= 3

Now for the 8th term i.e. A(8), this relationship violates.
According to the relationship,
A(8) = [A(7) + {A(7) - A(6)} + 2 ]
= [50 + {50 - 37} + 2 ]
= 50 + 13 + 2
= 65.
But in the series, it is 64. 
Hence 64 doesn't belong to the series. 

Read More

Aptitude Hack#35(30-3-19)

Question:
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many
distinct 4 digit numbers greater than 3000 can
be formed?

A) 50
B) 51
C) 52
D) 54

Read More

Aptitude Hack#35(30-3-19)

Question:
Given digits 2, 2, 3, 3, 3, 4, 4, 4, 4 how many
distinct 4 digit numbers greater than 3000 can
be formed?

A) 50
B) 51
C) 52
D) 54

Answer B) 51

Explanation:

As the number is greater than 3000.

So Thousand's place can have 3 or 4.

Let's consider the following two cases

Case (I) when a thousand's place is 3.

      3 a b c

 If there is no restriction on the number of two's,

Three’s and four's. Then each of a, b, c can be

Filled with 2 or 3 or 4 each in 3 ways.

So 3 x 3 x 3 = 27 numbers are there. Out of

Which 3222, 3333 are invalid as 2 can be used

Twice & 3 can be used thrice only so the number of such valid

 numbers beginning with 3 are 27 - 2 = 25.

Case (Il) When the thousand's place is 4

    4 a b c

Without restriction on the number of 2's, 3's and 4's

a, b, c (as explained in case I) can be filled in 27 ways.

Out of these 27 numbers, 4 2 2 2 is only invalid

as two have to be used twice only.

So valid numbers are 27 - 1 = 26.

Total numbers from Case (I) & Case (Il)  

=>25 + 26 = 51.

Read More

Aptitude Hack#33(28-3-19)

Question:

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

A) 20 days
B) 18 days
C) 16 days
D) 15 days

Read More

Aptitude Hack#33(28-3-19)

Question:

5 skilled workers can build a wall in 20 days; 8 semi-skilled workers can build a wall in 25 days; 10 unskilled workers can build a wall in 30 days. If a team has 2 skilled, 6 semi-skilled and 5 unskilled workers, how long will it take to build the wall?

A) 20 days
B) 18 days
C) 16 days
D) 15 days

Answer D) 15 days

Explanation:

Read More

Aptitude Hack#10(5-3-19)

Question:

Given the sequence of terms, AD CG FK JP, the next term is

 A) OV

B) OW

C) PV

D)PW

Read More

Aptitude Hack#9(4-3-19)

Question:

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is

A)0.288

B)0.334

C)0.667

D)0.720

Read More

Aptitude Hack#10(5-3-19)

Question:

Given the sequence of terms, AD CG FK JP, the next term is

 A) OV

B) OW

C) PV

D)PW

Answer: A) OV 

Explanation:

 Here 1st letter of each term in order are: A C F J

·       Now In alphabets, A and C have a difference of 1 alphabet, C and F have a difference of 2.

·        F and J have a difference of 3.

·        Hence next term here should contain its 1st letter as an alphabet with a difference of 4 after J, i.e O.

 Similarly, 2nd letter of each term in order are: D G K P

·       Now In alphabets, D and G have a difference of 2 alphabets.

•            Now In alphabets, D and G have a difference of 2 alphabets.
    ·        G and K have a difference of 3.
    ·        K and P have a difference of 4.
    ·        Hence next term here should contain its 2nd letter as an alphabet with a difference of 5 after P, i.e V.
• Hence The Answer option C) OV

Read More

Aptitude Hack#9(4-3-19)

Question:

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable. Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable. The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is

A)0.288

B)0.334

C)0.667

D)0.720

ANSWER: B) 0.334

Explanation:

Probability that the absorber is reliable = 0.96*0.6 + 0.72*0.4

                                          = 0.576 + 0.288

Probability that the absorber is from y and reliable =

            (Probability that is made by Y)  X (Probability that it is reliable)

           = 0.4 * 0.72

           = 0.288

The probability that randomly picked reliable absorber is from y =

    (Probability that the absorber is from y and reliable) / (>Probability that the absorber is reliable)   = (0.288)/ (0.576 + 0.288)

   = 0.334

Read More

Aptitude Hack#6(1-3-19)

Question:

Suppose a fair six-sided die is rolled once. If the value on the die is 1, 2, or 3, the die is rolled a second time. What is the probability that the sum total of values that turn up is at least 6?
A 10/21
B 5/12
C 2/3
D 1/6

Read More

Aptitude Hack#7(2-3-19)

Question:

The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

A)5

B)10

C)15

D)25

Read More

Aptitude Hack#8(3-3-19)

Question:

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is

A)8 meters
B)10 meters
C)12 meters
D)14 meters

Read More

Aptitude Hack#8(3-3-19)

Question:

 A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation y = 2x – 0.1x2 where y is the height of the arch in meters. The maximum possible height of the arch is

A)8 meters
B)10 meters
C)12 meters
D)14 meters

Answer: B)10 meters

 Explanation: 

y = 2x – 0.1x2 
dy/dx = 2 - 0.2x
 So the value maximizes at 2 - 0.2x = 0
 => x = 10 meters
 => y = 20 - 10 = 10 meters

Read More

Aptitude Hack#7(2-3-19)

Question

The cost function for a product in a firm is given by 5q2, where q is the amount of production. The firm can sell the product at a market price of Rs 50 per unit. The number of units to be produced by the firm such that the profit is maximized is

A)5
B)10
C)15
D)25
   

Answer A)5

 Explanation: 

Profit = Price - Cost
       = 50q - 5q2
The value of the above expression is maximum at q = 5. 

Read More