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 2 - Average | Average, Mixture & Alligation

1. PE 2 - Average | Average, Mixture & Alligation

The average of 11 results is 60 marks. If the average of first six results in 59 marks and that of the last six is 62 marks, then the sixth result is:

A.
65
B.
61
C.
66
D.
60

2. PE 2 - Average | Average, Mixture & Alligation

The average of 3 numbers is 120. The largest number is 165 while the difference between the other two is 15. Find the smallest number:

A.
135
B.
150
C.
155
D.
140

3. PE 2 - Average | Average, Mixture & Alligation

The population of a town increased from 25000 to 375000 in a decade. The average percent increase of population per year is:

A.
50%
B.
5%
C.
10%
D.
None of these

Answer: Option B

Explanation :

Total percentage increase in 10 years = $\frac{(375000 - 250000)}{250000}$ × 100% = 50%

Average % change per year = 50/10 = 5%

Hence, option (b).

4. PE 2 - Average | Average, Mixture & Alligation

Three years ago, the average age of a family of 5 members was 21 years. A baby having been born, the average age of the family is again 20.5 years. The present age of the baby is?

A.
3 years
B.
2 years
C.
2.5 years
D.
1.5 years

5. PE 2 - Average | Average, Mixture & Alligation

In a class of 50 students, the mean marks obtained in a subject is 60 and in another class of 25 students the mean marks obtained in the same subject is 90. The mean marks obtained by the students of two classes taken together is:

A.
68
B.
72
C.
70
D.
65

Answer: Option C

Explanation :

The mean marks of the combined class of 75 students = $\frac{50 \times 60 + 25 \times 90}{50 + 25}$ = $\frac{5250}{75}$ = 70.

Hence, option (c).

6. PE 2 - Average | Average, Mixture & Alligation

The mean weight of 34 students of a school is 42 kg. If the weight of the teacher be included, the mean rises by 400 g. Find the weight (in kg) of the teacher?

A.
66
B.
56
C.
55
D.
57

7. PE 2 - Average | Average, Mixture & Alligation

Roshan bought 5 pants at Rs. 25 each, 10 shirts at Rs. 50 each and 15 ties at Rs. 35 each. Find the average price of all the articles.

A.
Rs. 38.33
B.
Rs. 45
C.
Rs. 60
D.
Rs. 45.33

8. PE 2 - Average | Average, Mixture & Alligation

The average of the test scores of a class of ‘m’ students is 70 and that of ‘n’ students is 91. When the scores of both the classes are combined, the average is 80. What is n/m?

A.
11/10
B.
13/10
C.
10/13
D.
10/11

Answer: Option D

Explanation :

Combined average = 80 = $\frac{70 m + 91 n}{m + n}$

⇒ 80n + 80m = 70m + 91n

⇒ 10m = 11n

⇒ $\frac{n}{m}$ = $\frac{10}{11}$

Hence, option (d).

9. PE 2 - Average | Average, Mixture & Alligation

10 years ago the average age of all the 25 teachers of the Girls college was 45 years. 4 years ago, the principal has retired from her post at the age of 60 year. So after one year a new principal whose age was 54 years recruited from outside. The present average age of all the teachers is, if principal is also considered as a teacher:

A.
$54 \frac{18}{25}$
B.
$55 \frac{17}{25}$
C.
49.5
D.
$49 \frac{2}{3}$

Answer: Option A

Explanation :

10 years ago average age of 25 teachers = 45 years.

Average age of original 25 teachers (including the retired principal) = 45 + 10 = 55 years.
∴ Total age of original 25 teachers (including the retired principal) = 55 × 25 = 1375.

Present age of the retired principal = 60 + 4 = 64 years.
Present age of the new principal = 54 + 3 = 57 years.

∴ Total age of new set of 25 teachers (excluding the retired principal but including the new principal) = 1375 – 64 + 57 = 1368.

∴ New average age of teachers = $\frac{1368}{25}$ = $54 \frac{18}{25}$ .

Hence, option (a).

10. PE 2 - Average | Average, Mixture & Alligation

There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head decreases by Rs. 1. Find the original expenditure of the mess?

A.
Rs. 420
B.
Rs. 520
C.
Rs. 450
D.
Rs. 550

Answer: Option A

Explanation :

Let the average expenditure of the mess initially = Rs. ‘a’ per head per day.
Total expenditure initially = 35a

New total expenditure 35a + 42

New average expenditure = a – 1 = $\frac{35 a + 42}{35 + 7}$

⇒ 42a - 42 = 35a + 42

⇒ 7a = 84

⇒ a = 12

∴ Initial expenditure of the mess = 35 × 12 = 420

Hence, option (a).

PE 2 - Average | Average, Mixture & Alligation

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