General Aptitude - Numberical Ability - Ratio and Proportion

Buy GATE - Civil Engineering Practice test pack

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