General Aptitude - Numberical Ability - Ratio and Proportion

Question - 1

If A : B = 3 : 4 and B : C = 2 : 7, find A : B : C.

• A 4 : 3 : 14
• B 3 : 4 : 14
• C 14 : 4 : 3
• D 4 : 14 : 3

Question - 2

The ratio 8125 : 36 is

• A 6
• B 27
• C 9
• D 81

Question - 3

The order of a leaf node in a B+ tree is the maximum number of (value, data recoed pointer) pairs it can hold. Given that the block size in 1 Kbytes, data record pointer is 7 nytes long, the value field is 9 byte long and a block pointer is 6 bytes long, what is the order of the leaf node?

• A 63
• B 64
• C 67
• D 68

Question - 4

Consider the following relational schemas for a library database :
Book (Title, Author, Catalog_no, Publisher, Year, Price)
Collection (Title, Author, Catalog_no)
with in the following functional dependencies
1. Title Author$\rightarrow$ Catalog_no
2. Catalog_no$\rightarrow$ Title Author Publisher Year
3. Publisher Title Year$\rightarrow$ Price
Assume {Author, Title} is the key of both schemes.
Which of the following statement is true?

• A Both Book and Collection are in BCNF
• B Both Book and Collection are in 3 NF only
• C Book is in 2 NF and Collection is in 3NF
• D Both Book and Collection are in 2 NF only

Question - 5

Find the duplicate ratio of $\sqrt { 3x } :\sqrt { 5y }$

• A ${ 3x }^{ 2 }:{ 5y }^{ 2 }$
• B 3x :5y
• C $\sqrt { 3x } :\sqrt { 5y }$
• D $3\sqrt { x } :5\sqrt { x }$

Question - 6

Find the triplicate ratio of 2x : 3y

• A ${ 4x }^{ 2 }:{ 9y }^{ 2 }$
• B ${ 8x }^{ 3 }:{ 27y }^{ 3 }$
• C ${ 2x }^{ 2 }:{ 3y }^{ 2 }$
• D ${ 2x }^{ 3 }:{ 3y }^{ 3 }$

Question - 7

two numbers are in the ratio of 2 : 9. If 10 be added to each, they are in the ratio os 3 : 10. Find the numbers

• A 2 : 9
• B 6 : 27
• C 20 : 90
• D 8 : 36

Question - 8

Which of the following ratios is the greatest ; 4 : 5, 3 : 7 and 1 : 9?

• A 3 : 7
• B 4 : 5
• C 1 : 9
• D 2 : 5

Question - 9

2 bananas and 3 apples cost as much as 1 banana and 4 apples. The ratio of the cost of 1 banana to the cost of 1 apple is

• A 2 : 1
• B 1 : 2
• C 1 : 1
• D 2 : 3

Question - 10

If (x+y) : (y+z) : (z+x) = 4 : 6 : 5 and (x + y + z) = 15, then the value of z is

• A 5
• B 7
• C 3
• D 6