Ratio, Proportion and Partnership
- Ratio, Proportion & Partnership
- CRE 1 - Ratio
- CRE 2 - Proportion
- CRE 3 - Partnership
- PE 1 - Ratio
Percentage, Profit & Loss
- Percentage
- Profit & Loss
- CRE 1 - Percentage
- CRE 2 - Percentage Change
- CRE 3 - Successive Percentage Change
- CRE 4 - Profit & Loss
- CRE 5 - Discount
- PE 1 - Percentage
Simple and Compound Interest
- Simple & Compound Interest
- CRE 1 - Simple Interest
- CRE 2 - Compound Interest
Average, Mixture & Alligation
- Average
- Mixture & Alligation
- CRE 1 - Simple Average
- CRE 2 - Numbers Added/Removed
- CRE 3 - Weighted Average
- PE 1 - Average
- PE 2 - Average
Time and Work
- Time and Work
- CRE 1 - Basics
- CRE 2 - Working in Shifts
- CRE 3 - Payments
- CRE 4 - Man Days (single group of people)
- CRE 5 - Man Days (multiple groups of people)
- CRE 6 - Pipes & Cisterns
- PE 1 - Time and Work
Time, Speed and Distance
- Time, Speed and Distance
- CRE 1 - Basics
- CRE 2 - Relative Speed
- CRE 3 - Trains
- CRE 4 - Boats & Streams
Numbers
- CRE 1 - Simplification
- PE 1 - LCM & HCF
- PE 2 - LCM & HCF
- PE 3 - Unit's Digit
Indices & Surds
- CRE 1 - Indices
- CRE 2 - Surds
Linear & Quadratic Equations
Permutations, Combinations & Probability
Geometry, Mensuration & Trigonometry
- Geometry Basics
- CRE 1 - Geometry Basics
- CRE 2 - Triangles
- CRE 3 - Circles
- CRE 4 - Mensuration
- CRE 5 - Trigonometry
Data Interpretation
- CRE 1 - Tables
Arrangements, Ranking & Ordering
- PE 1 - Arrangements
- PE 2 - Ranking
- PE 3 - Ordering
Analogy & Odd One Out
- PE 1 - Word Analogy
- PE 2 - Word Analogy
- PE 3 - Alphabet Analogy
- PE 4 - Numbers Analogy
- PE 5 - Odd One Out
Number & Alphabet Series
- PE 1 - Number Series
- PE 2 - Alphabet Series
Coding & Decoding
- PE 1 - Coding & Decoding
Clocks & Calendars
- PE 1 - Clocks
- PE 2 - Calendars
Venn Diagram
- CRE 1 - Venn Diagram
- CRE 2 - Venn Diagram
progression
Mathematical Operations
- PE 1 - Mathematical Operations
Dice & Cubes
- PE 1 - Dice
Visual Reasoning
Blood Relation & Direction Sense
- PE 1 - Blood Relation
- PE 2 - Direction Sense
General Knowledge & Current Affairs
Syllogisms

PE 1 - Ratio | Ratio, Proportion and Partnership

1. PE 1 - Ratio | Ratio, Proportion and Partnership

Two natural numbers are in the ratio 12 : 5 and the sum of their squares is 676. What are the numbers?

A.
12 and 5
B.
24 and 10
C.
36 and 15
D.
48 and 20

2. PE 1 - Ratio | Ratio, Proportion and Partnership

What is the third proportional to 18 and 8?

A.
10
B.
26
C.
12
D.
4

Answer: Option C

Explanation :

Let the 3rd proportion to 18 and 8 be x.

⇒ $\frac{18}{x} = \frac{x}{8}$

⇒ x² = 144

⇒ x = 12

Hence, option (c).

3. PE 1 - Ratio | Ratio, Proportion and Partnership

Ram and Shyam invest Rs. 30,000 and Rs, 25,000 in a gym. If the gym earns Rs. 110,000 in one year, what amount does Shyam get?

A.
Rs. 45,000
B.
Rs. 60,000
C.
Rs. 50,000
D.
None of these

4. PE 1 - Ratio | Ratio, Proportion and Partnership

The largest number amongst $\frac{17}{12}$ , $2 \frac{5}{9}$ , $\frac{27}{11}$ and $2 \frac{8}{9}$ is

A. $\frac{17}{12}$
B. $2 \frac{5}{9}$
C. $\frac{27}{11}$
D. $2 \frac{8}{9}$

Answer: Option D

Explanation :

The given fractions are $\frac{17}{12}$ , $2 \frac{5}{9}$ , $\frac{27}{11}$ and $\frac{26}{9}$ is

Of the 4 fractions 17/12 is less than 2 while rest are greater than 2. Hence, 17/12 is not the highest fraction.

Of the remaining three 26/9 is definitely greater than 23/9.

∴ One of 27/11 or 26/9 is greater.

Now, $\frac{27}{11}$ = $\frac{243}{99}$
and, $\frac{26}{9}$ = $\frac{286}{99}$

⇒ 26/9 i.e., $2 \frac{8}{9}$ is the greatest of the given fractions.

Hence, option (d).

5. PE 1 - Ratio | Ratio, Proportion and Partnership

Two numbers are in the ratio 5 : 6. If 8 is added to both, their ratio changes to 3 : 4. What is the value of the larger number?

A.
12
B.
24
C.
10
D.
20

Answer: Option B

Explanation :

Let the numbers be 5x and 6x respectively.

Now, $\frac{5 x + 8}{6 x + 8} = \frac{3}{4}$

⇒ 20x + 32 = 18x + 24

⇒ 2x = 8

⇒ x = 4

∴ The larger number is 6x = 24

Hence, option (b).

6. PE 1 - Ratio | Ratio, Proportion and Partnership

A person distributed Rs. 1872 among Arpit, Romesh and Jitesh such that 8 times Romesh's share is equal to 12 times Jitesh's share or 3 times Arpit's share. How much does Romesh get?

A.
Rs. 560
B.
Rs. 495
C.
Rs. 432
D.
Rs. 544

7. PE 1 - Ratio | Ratio, Proportion and Partnership

A bag can contain either 72 mangoes or 30 bananas. If the bag has 48 mangos, how many bananas can it now carry?

A.
10
B.
12
C.
18
D.
14

8. PE 1 - Ratio | Ratio, Proportion and Partnership

If a : b = 5 : 4 and b : c = 6 : 11, what is the value of (2a + 2c) : (2b - a)?

A.
37 : 4
B.
74 : 9
C.
46 : 25
D.
32 : 19

Answer: Option B

Explanation :

Given, a : b = 5 : 4 and b : c = 6 : 11

∴ a : b : c = 5 × 3 : 12 : 11 × 2 = 15 : 12 : 22

⇒ $\frac{2 a + 2 c}{2 b - a}$ = $\frac{30 x + 44 x}{24 x - 15 x}$ = $\frac{74}{9}$

Hence, option (b).

9. PE 1 - Ratio | Ratio, Proportion and Partnership

Akanksha started a business with 24,000. Swapnil joined him two months later with an investment of Rs. 16,000. In what ratio would they share the annual profit?

A.
6 : 5
B.
5 : 6
C.
9 : 5
D.
5 : 9

Answer: Option C

Explanation :

$\frac{P_{A k a n k s h a}}{P_{S w a p n i l}}$ = $\frac{I_{A k a n k s h a} \times T_{A k a n k s h a}}{I_{S w a p n i l} \times T_{S w a p n i l}}$ = $\frac{24000 \times 12}{16000 \times 10}$ = $\frac{9}{5}$

Hence, option (c).

10. PE 1 - Ratio | Ratio, Proportion and Partnership

If (a + b) : (b + c) : (c + a) = 3 : 4 : 5 and (a + b + c) = 18, what is the value of a?

A.
3
B.
9
C.
8
D.
6

PE 1 - Ratio | Ratio, Proportion and Partnership

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