Aptitude and Reasoning Questions

Q:

Four dice are thrown simultaneously. Find the probability that two of them show the same face and remaining two show the different faces.

A) 4/9 B) 5/9
C) 11/18 D) 7/9
 
Answer & Explanation Answer: B) 5/9

Explanation:

Select a number which ocurs on two dice out of six numbers (1, 2, 3, 4, 5, 6). This can be done in C16, ways.

 

Now select two distinct number out of remaining 5 numbers which can be done in C25 ways. Thus these 4 numbers can be arranged in 4!/2! ways.

 

So, the number of ways in which two dice show the same face and the remaining two show different faces is 

 C16×C25×4!2!=720

 =>  n(E) = 720

 PE=72064=59

Report Error

View Answer Report Error Discuss

Filed Under: Probability

8 11321
Q:

At a certain rate of interest the compound interest of 3 years and simple interest of 5 years for certain sum of money is respectively Rs. 1513.2 and Rs. 2400. Find the common rate of interest per annum ?

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

Explanation:

Given compound interest for 3 years = Rs. 1513.2

 

and simple interest for 5 years = Rs. 2400

 

Now, we know that  C.I = P1+R100n - 1

 

=> 1513.2 = P1+R1003 - 1 ...........(A)

 

And S.I = PTR/100

 

=> 2400 = P5R/100 ..................(B)

 

By solving (A) & (B), we get

 

R = 5%.

Report Error

View Answer Report Error Discuss

Filed Under: Compound Interest
Exam Prep: GATE , CAT , Bank Exams , AIEEE
Job Role: Bank PO , Bank Clerk

18 11320
Q:

If 3x-y=273x+y=243 then find the x value

A) 2 B) 8
C) 4 D) 1
 
Answer & Explanation Answer: C) 4

Explanation:

Given that 3x-y=273x+y=243

3x-y =33 , 3x+y=35

 => x-y=3, x+y=5

 => x = 4

Report Error

View Answer Report Error Discuss

Filed Under: Simplification
Exam Prep: CAT
Job Role: Bank Clerk

15 11320
Q:

A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ?

A) Rs. 185 B) Rs. 154
C) Rs. 200 D) Rs. 177
 
Answer & Explanation Answer: C) Rs. 200

Explanation:

Let the C.P be 'x'
Then, the selling price S.P = x - 16x/100
= 84x/100 = 21x/25
Now, if the S.P is 60 more, then the profit is 14%
=> 21x/25 + 60 = x + 14x/100
=> 114x/100 - 21x/25 = 60
=> (57 - 42)x/50 = 60
=> 15x/50 = 60
x = 3000/15 = 200

Therefore, the Cost price C.P = x = Rs. 200

Report Error

View Answer Report Error Discuss

Filed Under: Profit and Loss
Exam Prep: AIEEE , Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

9 11315
Q:

Should India create a huge oil reserve inorder to face some difficult situations in future 

Arguments:

1. No. There is no need to block huge amounts of foreign exchange and keep the money die

2. Yes. This will keep India withstand shocks of sudden rise in oilprices due to un forseen circumstances

A) Only 1 is true B) Only 2 is true
C) Either 1 or 2 is true D) Neither 1 nor 2 is true
 
Answer & Explanation Answer: B) Only 2 is true

Explanation:

Oil being an essential commodity ,our country must keep it in reserve.So argument 1 is vague,while argument 2 holds as it provides a substancial reason for the same

Report Error

View Answer Report Error Discuss

2 11304
Q:

If "#" means "subtraction", "&" means "division", "@" means "addition" and "%" means "multiplication" then

 

516 & 6 # 11 @ 50 % 4 = ?

 

A) 210 B) 274
C) 250 D) 275
 
Answer & Explanation Answer: D) 275

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Mathematical Operations
Exam Prep: Bank Exams

15 11301
Q:

According to the given Venn diagram, the total number of students in the class is ___.

 

A) 55 B) 56
C) 53 D) 54
 
Answer & Explanation Answer: A) 55

Explanation:
Report Error

View Answer Report Error Discuss

Filed Under: Logical Venn Diagram
Exam Prep: Bank Exams

1 11299
Q:

Find the total number of cubes in the given figure ?

              Untitled-11484632107.jpg image

A) 56 B) 60
C) 64 D) 72
 
Answer & Explanation Answer: A) 56

Explanation:

(Total numbers of cubes in a line  x  Number of stack / tower) + ...

= (6x1)+(5x2)+(4x3)+(3x4)+(5x2)+(6x1)

= 6+10+12+12+10+6 = 56

Report Error

View Answer Report Error Discuss

Filed Under: Cubes and Dice
Exam Prep: Bank Exams , CAT
Job Role: Bank Clerk , Bank PO

47 11297