Arithmetic, number systems, percentages, ratios, profit and loss, time and work, algebra, geometry, mensuration, and trigonometry.
Find the wrong term in the following series.
205 , 236 , 279 , 304 , 341
205
236
279
304
341
Correct answer
279
Why this answer is correct
Given:
205 , 236 , 279 , 304 , 341
Calculation:
Here the logic follows as,
Hence, 279 is the wrong term
\(\therefore\) The correct answer is 279.
In the following number series, a wrong number is given. Find out the wrong number.
74, 125, 76, 122, 79, 117
79
117
122
74
125
Correct answer
79
Why this answer is correct
Calculation:
⇒ 74 + 51 = 125
⇒ 125 – 49 = 76
⇒ 76 + 46 = 122
⇒ 122 – 42 = 80
⇒ 80 + 37 = 117
∴ The wrong number is 79
In each of the following number series, the wrong number is given, find out that number.
87, 114, 103, 130, 119, 144, 135
119
114
87
135
144
Correct answer
144
Why this answer is correct
Calculation:
The series follows the following pattern:
⇒ 87 + 27 = 114
⇒ 114 – 11 = 103
⇒ 103 + 27 = 130
⇒ 130 – 11 = 119
⇒ 119 + 27 = 146
⇒ 146 – 11 = 135
∴ The wrong number is 144
A principal of Rs. 12000 is 3/5 th itself at x% rate of interest for 5 years. If the same principal is invested for 2 years at compound interest (x + 4)% annum. Find the interest amount.
Rs.4292.3
Rs.4890.4
Rs.4147.2
Rs. 4219.8
Rs.4231.9
Correct answer
Rs.4147.2
Why this answer is correct
Shortcut Trick
Simple Interest = 3/5 × Principal ⇒ Rate x = (3/5 × 100) ÷ 5 = 12%.
New CI Rate = 12% + 4% = 16%.
For 2 years at 16%, Effective Rate = 16 + 16 + (16 × 16)/100 = 34.56%.
CI = 12000 × 34.56% = 120 × 34.56 = ₹4147.2.
∴ The correct answer is ₹4147.2.
Alternate Method
Given: Principal (P) = ₹12000, Time (T1) = 5 years, SI = 3/5 × P, Time (T2) = 2 years, CI Rate = (x + 4)%.
Formula Used: SI = (P × R × T)/100 and CI = P[(1 + R/100)n − 1].
⇒ SI = 3/5 × 12000 = ₹7200.
⇒ 7200 = (12000 × x × 5) / 100.
⇒ 7200 = 600x ⇒ x = 12%.
⇒ New Rate = 12 + 4 = 16%.
⇒ CI = 12000 × [(1 + 16/100)2 − 1].
⇒ CI = 12000 × [(1.16)2 − 1] = 12000 × [1.3456 − 1].
⇒ CI = 12000 × 0.3456 = ₹4147.2.
∴ The correct answer is ₹4147.2.
Additional Information
Effective Rate of CI
For 2 years, the effective interest rate is R + R + (R × R)/100 percent of the Principal.
Relationship between SI and CI
Difference for 2 years = P × (R/100)2. For the 1st year, SI and CI are always equal if compounded annually.
Shyam travels 360 km at 'x + 4' km/hr, completing the journey in 15 hours. If he boosted his speed by (x + 4)/4, it would decrease his trip time by 'y' hours. If Shyam were to travel at a pace of 'x - y' km/hr, how many hours would it take him to cover a distance of 187 km?
12 hr
13 hr
14 hr
11 hr
None of these
Correct answer
11 hr
Why this answer is correct
Shortcut Trick
Initial speed (x + 4) = 360 ÷ 15 = 24 kmph.
Speed boost = 24 ÷ 4 = 6 kmph → New speed = 30 kmph.
New time = 360 ÷ 30 = 12 hours → Time saved y = 15 − 12 = 3 hours.
Final speed = x − y = 20 − 3 = 17 kmph.
Required time = 187 ÷ 17 = 11 hours.
∴ The correct answer is 11 hr.
Alternate Method
Given: Total distance = 360 km, Time taken = 15 hours at speed (x + 4) km/hr.
Formula Used: Speed = Distance ÷ Time; Time = Distance ÷ Speed.
⇒ Speed (x + 4) = 360 ÷ 15
⇒ x + 4 = 24 km/hr
⇒ x = 20 km/hr
⇒ Boosted speed = (x + 4) + (x + 4)/4 = 24 + 24/4 = 30 km/hr
⇒ New trip time = 360 ÷ 30 = 12 hours
⇒ y (Time decrease) = 15 − 12 = 3 hours
⇒ Target speed = x − y = 20 − 3 = 17 km/hr
⇒ Required time = 187 ÷ 17 = 11 hours
∴ The correct answer is 11 hr.
Additional Information
Speed-Time Relation
For a constant distance, speed is inversely proportional to time (S1 × T1 = S2 × T2).
Average Speed
Average Speed = Total Distance ÷ Total Time. For two equal distances with speeds a and b, Average Speed = 2ab/(a + b).
A , B and C started a business with capital in the ratio of 8 : 6 : 5. After 8 months A withdrew 25% of his capital while C increased 20% of his investment if at the end of the year total profit of the business is Rs14000 then what is the profit share of C?
12000
7000
4000
8000
6000
Correct answer
4000
Why this answer is correct
Shortcut Trick
Ratio of Profit = Σ(Capital × Time)
A : B : C = (8 × 8 + 6 × 4) : (6 × 12) : (5 × 8 + 6 × 4)
A : B : C = (64 + 24) : 72 : (40 + 24) = 88 : 72 : 64
Simplified Ratio = 11 : 9 : 8. Total units = 11 + 9 + 8 = 28 units.
28 units = Rs. 14000 ⇒ 1 unit = Rs. 500. Profit of C = 8 × 500 = Rs. 4000. ∴ The correct answer is Rs. 4000.
Alternate Method
Given → Initial Capital Ratio A:B:C = 8:6:5. Time = 12 months.
Formulas → Profit Share = Capital × Time Period
⇒ A's investment: (8 × 8 months) + (8 × 75% × 4 months) = 64 + 24 = 88.
⇒ B's investment: (6 × 12 months) = 72.
⇒ C's investment: (5 × 8 months) + (5 × 120% × 4 months) = 40 + 24 = 64.
⇒ Total Investment Ratio A:B:C = 88 : 72 : 64 = 11 : 9 : 8.
⇒ Sum of ratios = 11 + 9 + 8 = 28.
⇒ C's share = (8 ÷ 28) × 14000 = 8 × 500 = 4000.
∴ The correct answer is Rs. 4000.
Additional Information
Partnership Basics
Profit is distributed based on the product of Capital and Time. If time is constant, profit ratio equals capital ratio.
Percentage Changes
To calculate a 25% decrease, multiply by 0.75. For a 20% increase, multiply by 1.20.
In an election, 5% of the applicants were found ineligible and 85% of the eligible candidates belonged to the general category. If 4275 eligible candidates belonged to other categories, then how many voters appeared for the elections?
30,000
35,000
37,000
35,500
None of these
Correct answer
30,000
Why this answer is correct
Shortcut Trick
Let the total number of applicants be 100 units.
Eligible candidates = 95% of 100 = 95 units.
Other categories = (100% − 85%) of eligible = 15% of 95 = 14.25 units.
Given: 14.25 units = 4275 ⇒ 1 unit = 300.
Total applicants = 100 × 300 = 30,000.
∴ The correct answer is 30,000.
Alternate Method
Given:
Ineligible = 5% ⇒ Eligible = 95%
General Category = 85% of eligible ⇒ Other Categories = 15% of eligible
Other Categories candidates = 4275
Calculations:
Let the total number of voters be x.
⇒ Eligible candidates = x × (95/100)
⇒ Other categories = x × (95/100) × (15/100) = 4275
⇒ x × 0.95 × 0.15 = 4275
⇒ x × 0.1425 = 4275
⇒ x = 4275 ÷ 0.1425
⇒ x = 30,000
∴ The correct answer is 30,000.
Additional Information
Successive Percentage change
When a value is reduced by a% and then further by b%, the remaining value is P × (1 − a/100) × (1 − b/100).
Base change in Election problems
Always identify the base for each percentage. Here, 85% is of the eligible candidates, not the total applicants.
Ratio Method
Fractions can be used for faster calculation: 95% = 19/20 and 15% = 3/20. Total = 4275 × (20/19) × (20/3).
A container contains 100 litres of milk. If 10 % of milk was replaced by water and this process was repeated two times more, then find the quantity of the milk in the final mixture.
82.9 litres
72.9 litres
62.9 litres
72 litres
None of these
Correct answer
72.9 litres
Why this answer is correct
Shortcut Trick
Initial quantity = 100 litres
Replacement fraction = 10% = 1/10
Remaining fraction after 1 process = 1 − 1/10 = 9/10
Since the process is repeated two times more (total 3 times):
Final Milk = 100 × (9/10)3 = 100 × 729/1000 = 72.9 litres
∴ The correct answer is 72.9 litres.
Alternate Method
Given:
Initial quantity of milk (x) = 100 litres
Quantity replaced (y) = 10% of 100 = 10 litres
Number of times the process is performed (n) = 3
Formula Used:
Final quantity = x × (1 − y/x)n
Calculations:
⇒ Final Quantity = 100 × (1 − 10/100)3
⇒ Final Quantity = 100 × (1 − 1/10)3
⇒ Final Quantity = 100 × (9/10) × (9/10) × (9/10)
⇒ Final Quantity = 100 × 0.9 × 0.9 × 0.9
⇒ Final Quantity = 100 × 0.729
⇒ Final Quantity = 72.9 litres
∴ The correct answer is 72.9 litres.
Additional Information
Successive Replacement Formula
The formula Final Quantity = Initial × (1 − r/100)n is used when a fixed percentage r is replaced n times.
Mixture Replacement with Different Quantities
If different amounts a, b, c are replaced each time, the final quantity is x × (1 − a/x) × (1 − b/x) × (1 − c/x).
Ratio of Milk to Water
After the process, the quantity of water = Total Capacity − Final Milk. In this case, 100 − 72.9 = 27.1 litres.
What approximate value should come in the place of the question mark ‘?’ in the following question?
(5.96)3 ÷ 17.98 + 47.88 – ? × 1.95 = 19.93
15
12
25
20
18
Correct answer
20
Why this answer is correct
Concept Used:
Follow the BODMAS rule according to the table given below:
Calculation:
(5.96)3 ÷ 17.98 + 47.88 – ? × 1.95 = 19.93
⇒ 63 ÷ 18 + 48 – ? × 2 = 20
⇒ 216 ÷ 18 + 48 – ? × 2 = 20
⇒ 12 + 48 – ? × 2 = 20
⇒ – ?× 2 = 20 – 60
⇒ -2 × ? = -40
⇒ ? = 20
∴ The value of ? is 20
What approximate value should come in place of ‘?’ in the following equation:
350.97 ÷ 27.02 + (13.99)2 ÷ 28.04 = ?
13
20
7
15
None of these
Correct answer
20
Why this answer is correct
Solution:
Rules of Approximation:
Concept Used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
351 ÷ 27 + (14)2 ÷ 28 = ?
⇒ 351 ÷ 27 + 196 ÷ 28 = ?
⇒ 13 + 7 = ?
∴ ? = 20
What approximate will come in the place of the question mark ‘?’ in the following question?
{(17.09 + 2.01) × 107.6 ÷ 75.6} + 71.40 × 11.90 = ?
859
889
879
825
881
Correct answer
879
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculations:
{(17.09 + 2.01) × 107.6 ÷ 75.6} + 71.40 × 11.90 = ?
⇒ {(17 + 2) × 108 ÷ 76} + 71 × 12 = ?
⇒ 19 × 108 ÷ 76 + 852 = ?
⇒ 27 + 852 = ?
⇒ ? = 879
∴ The value of ? is 879
What approximate value should come in place of “?” in the following equation:
{(784.03)1/2 × 3.97} + (29.07 × 12.96) = (?)2 – (7.92 × 5.01)
529
8
24
23
None of these
Correct answer
23
Why this answer is correct
Rules of Approximation:
Concept Used:
Follow BODMAS rule to solve this question, as per the order given below,
Calculation:
{(784)1/2 × 4} + (29 × 13) = (?)2 – (8 × 5)
⇒ {28 × 4} + (29 × 13) = (?)2 – (8 × 5)
⇒ {28 × 4} + 377 = (?)2 – 40
⇒ 112 + 377 = (?)2 – 40
⇒ 489 = (?)2 – 40
⇒ (?)2 = 489 + 40
⇒ (?)2 = 529
∴ ? = 23
What approximate value will come in the place of the question mark ‘?’ in the following question?
49.99% of 799.897 + 24.99% of 200.012 = 9 × ?
80
60
50
70
None
Correct answer
50
Why this answer is correct
Concept used:
Follow BODMAS rule to solve this question, as per the order given below:
Calculation:
49.99% of 799.897 + 24.99% of 200.012 = 9 × ?
On taking the approximate values, we get:
⇒ 50% of 800 + 25% of 200 = 9 × ?
⇒ (50/100) × 800 + (25/100) × 200 = 9 × ?
⇒ 400 + 50 = 9 × ?
⇒ ? = 450/9 = 50
∴ The value of ? is 50
A shopkeeper allows two successive discounts of X% on a shirt which is marked at Rs 2500 and sells it at Rs 1764. Find the selling price of the shirt if the shopkeeper would have given X + 2 % of two equal successive discounts?
1681
2025
1936
1600
1849
Correct answer
1681
Why this answer is correct
Shortcut Trick
For two equal successive discounts of X%, the ratio of Marked Price (MP) to Selling Price (SP) is (100)2 : (100 − X)2.
Given MP = 2500 and SP = 1764 ⇒ √2500 : √1764 = 50 : 42.
Discount X% = (50 − 42) ÷ 50 × 100 = 16%.
New discount rate = 16% + 2% = 18%.
New SP = 2500 × (82 ÷ 100) × (82 ÷ 100) = 25 × 0.82 × 82 = 1681.
∴ The correct answer is Rs 1681.
Alternate Method
Formulas: SP = MP × (1 − d1/100) × (1 − d2/100) | Net Discount = a + b − ab/100
⇒ 1764 = 2500 × (1 − X/100)2
⇒ (1 − X/100)2 = 1764 ÷ 2500 = 0.7056
⇒ 1 − X/100 = √0.7056 = 0.84 ⇒ X/100 = 0.16 ⇒ X = 16%
⇒ New Discount rate = X + 2 = 18%
⇒ New SP = 2500 × (1 − 18/100)2 = 2500 × (0.82)2
⇒ New SP = 2500 × 0.6724 = 1681
∴ The correct answer is Rs 1681.
Additional Information
Successive Discounts
When two discounts 'a' and 'b' are given one after another, the single equivalent discount is (a + b − ab/100)%.
Relation between MP and SP
SP is always calculated on the Marked Price. SP = MP × (100 − D%)/100.
If the price of an Iphone is reduced by 20% during the festival season, its sale is increased by 80%. If the percentage by which the net sale is increased be m, then what will be the square root of m+5 ?
7
11
13
17
5
Correct answer
7
Why this answer is correct
Shortcut Trick
Net change % = x + y + (x × y)/100 where x = −20% (reduction) and y = +80% (increase).
m = −20 + 80 + (−20 × 80)/100 = 60 − 16 = 44%.
Required value = √(m + 5) = √(44 + 5) = √49 = 7.
∴ The correct answer is 7.
Alternate Method
Given:
Initial Price = 100, Initial Sale = 100 ⇒ Initial Revenue = 100 × 100 = 10000
Calculations:
⇒ New Price = 100 − 20% of 100 = 80
⇒ New Sale = 100 + 80% of 100 = 180
⇒ New Revenue = 80 × 180 = 14400
⇒ Increase in Revenue = 14400 − 10000 = 4400
⇒ Percentage increase (m) = (4400 ÷ 10000) × 100 = 44%
⇒ Value to find = √(m + 5) = √(44 + 5) = √49 = 7
∴ The correct answer is 7.
Additional Information
Successive Percentage Change
When a quantity is changed by x% and then by y%, the overall change is given by [x + y + (xy/100)]%.
Revenue Relationship
Revenue is the product of Price and Consumption (or Sale). If both change, the product change follows the successive percentage rule.
Percentage to Fraction
20% reduction = 4/5 multiplier; 80% increase = 9/5 multiplier. Net multiplier = (4/5) × (9/5) = 36/25. Increase = 11/25 = 44%.
Directions: Study the following direction shows the total number of persons invested in Fixed deposits and mutual funds and number of persons invested in mutual funds in five different banks A, B, C, D and E.
20% of the persons who invested in Fixed deposit in Bank A are females and remaining are males and 30% of the persons invested in Mutual funds are in Bank A males , Find the number of males invested in both Fixed deposit and Mutual funds in bank A.
460
380
390
420
520
Correct answer
380
Why this answer is correct
General solution:
Bank A:
Number of persons invested in (Fixed deposit + Mutual Funds) = 600
Number of persons invested in Fixed deposit = 400
Number of persons invested in Mutual Funds = (600 - 400) =200
Bank B:
Number of persons invested in (Fixed deposit + Mutual Funds) = 450
Number of persons invested in Fixed deposit = 300
Number of persons invested in Mutual Funds = (450 - 300) =150
Bank C:
Number of persons invested in (Fixed deposit + Mutual Funds) = 750
Number of persons invested in Fixed deposit = 500
Number of persons invested in Mutual Funds = (750 - 500) =250
Bank D:
Number of persons invested in (Fixed deposit + Mutual Funds) = 700
Number of persons invested in Fixed deposit = 250
Number of persons invested in Mutual Funds = (700 - 250) = 450
Bank E:
Number of persons invested in (Fixed deposit + Mutual Funds) = 650
Number of persons invested in Fixed deposit = 350
Number of persons invested in Mutual Funds = (650 - 350) = 300
| Name of the bank | Number of persons invested in Fixed deposit | Number of persons invested in Mutual Fund |
|---|---|---|
| Bank A | 400 | 200 |
| Bank B | 300 | 150 |
| Bank C | 500 | 250 |
| Bank D | 250 | 450 |
| Bank E | 350 | 300 |
Solution:
Number of persons invested in Fixed deposition Bank A = 400
Number of females invested in Fixed deposit in Bank A= 400 × 20/100 = 80
Number of males invested in Fixed deposit in Bank A = (400 - 80) = 320
Number of males invested in Mutual funds in Bank A = 200 × (30/100) = 60
Total males invested in both Mutual funds and Fixed deposit in Bank A = (320 + 60) = 380
Directions: Study the following direction shows the total number of persons invested in Fixed deposits and mutual funds and number of persons invested in mutual funds in five different banks A, B, C, D and E.
If 1/3 and 1/5 of the number of persons invested in Fixed deposit in Bank B and C respectively for 2 years and remaining are invested for 5 years. Find the difference between the total number of persons invested in Mutual funds in Bank B and Bank C together and the number of persons invested in fixed deposits for the time period of 5 years from the Bank B and C.
220
180
150
250
200
Correct answer
200
Why this answer is correct
General solution:
Bank A:
Number of persons invested in (Fixed deposit + Mutual Funds) = 600
Number of persons invested in Fixed deposit = 400
Number of persons invested in Mutual Funds = (600 - 400) =200
Bank B:
Number of persons invested in (Fixed deposit + Mutual Funds) = 450
Number of persons invested in Fixed deposit = 300
Number of persons invested in Mutual Funds = (450 - 300) =150
Bank C:
Number of persons invested in (Fixed deposit + Mutual Funds) = 750
Number of persons invested in Fixed deposit = 500
Number of persons invested in Mutual Funds = (750 - 500) =250
Bank D:
Number of persons invested in (Fixed deposit + Mutual Funds) = 700
Number of persons invested in Fixed deposit = 250
Number of persons invested in Mutual Funds = (700 - 250) = 450
Bank E:
Number of persons invested in (Fixed deposit + Mutual Funds) = 650
Number of persons invested in Fixed deposit = 350
Number of persons invested in Mutual Funds = (650 - 350) = 300
| Name of the bank | Number of persons invested in Fixed deposit | Number of persons invested in Mutual Fund |
|---|---|---|
| Bank A | 400 | 200 |
| Bank B | 300 | 150 |
| Bank C | 500 | 250 |
| Bank D | 250 | 450 |
| Bank E | 350 | 300 |
Solution:
Number of persons invested in Fixed deposit in Bank B = 300
Number of persons invested in Fixed deposit in Bank C = 500
Number of persons invested in Fixed deposit in Bank B for 2 years = 300 × 1/3 = 100
Number of persons invested in Fixed deposit in Bank B for 5 years = (300 - 100) = 200
Number of persons invested in Fixed deposit in Bank C for 2 years = 500 × 1/5 = 100
Number of persons invested in Fixed deposit in Bank C for 5 years = (500 - 100) = 400
Total number of persons invested in Mutual funds in Bank B and C = (150 + 250) = 400
Required difference = (600 - 400) = 200
Directions: Study the following direction shows the total number of persons invested in Fixed deposits and mutual funds and number of persons invested in mutual funds in five different banks A, B, C, D and E.
If the number of persons invested in Fixed deposit from Bank D is increased by x the ratio between the number of persons invested in Fixed deposits to Mutual funds in Bank D is 13: 18. Find the value of x.
95
60
75
125
80
Correct answer
75
Why this answer is correct
General solution:
Bank A:
Number of persons invested in (Fixed deposit + Mutual Funds) = 600
Number of persons invested in Fixed deposit = 400
Number of persons invested in Mutual Funds = (600 - 400) =200
Bank B:
Number of persons invested in (Fixed deposit + Mutual Funds) = 450
Number of persons invested in Fixed deposit = 300
Number of persons invested in Mutual Funds = (450 - 300) =150
Bank C:
Number of persons invested in (Fixed deposit + Mutual Funds) = 750
Number of persons invested in Fixed deposit = 500
Number of persons invested in Mutual Funds = (750 - 500) =250
Bank D:
Number of persons invested in (Fixed deposit + Mutual Funds) = 700
Number of persons invested in Fixed deposit = 250
Number of persons invested in Mutual Funds = (700 - 250) = 450
Bank E:
Number of persons invested in (Fixed deposit + Mutual Funds) = 650
Number of persons invested in Fixed deposit = 350
Number of persons invested in Mutual Funds = (650 - 350) = 300
| Name of the bank | Number of persons invested in Fixed deposit | Number of persons invested in Mutual Fund |
|---|---|---|
| Bank A | 400 | 200 |
| Bank B | 300 | 150 |
| Bank C | 500 | 250 |
| Bank D | 250 | 450 |
| Bank E | 350 | 300 |
Solution:
Number of persons invested in Fixed deposit from Bank D = 250
Number of persons invested in Mutual deposits from Bank D = 450
Number of persons invested in Bank D is increased by x in Fixed deposit then the ratio becomes 13: 18
(250 + x)/(450) = 13/18
(4500 +18x) = 5850
1350/18 = x
x = 75
Directions: Study the following direction shows the total number of persons invested in Fixed deposits and mutual funds and number of persons invested in mutual funds in five different banks A, B, C, D and E.
Find the difference between the average number of persons invested in Fixed deposit in Bank B, Bank D and Bank E and the average number of persons invested in Mutual funds in Bank A, Bank C and Bank E.
45
65
30
50
40
Correct answer
50
Why this answer is correct
General solution:
Bank A:
Number of persons invested in (Fixed deposit + Mutual Funds) = 600
Number of persons invested in Fixed deposit = 400
Number of persons invested in Mutual Funds = (600 - 400) =200
Bank B:
Number of persons invested in (Fixed deposit + Mutual Funds) = 450
Number of persons invested in Fixed deposit = 300
Number of persons invested in Mutual Funds = (450 - 300) =150
Bank C:
Number of persons invested in (Fixed deposit + Mutual Funds) = 750
Number of persons invested in Fixed deposit = 500
Number of persons invested in Mutual Funds = (750 - 500) =250
Bank D:
Number of persons invested in (Fixed deposit + Mutual Funds) = 700
Number of persons invested in Fixed deposit = 250
Number of persons invested in Mutual Funds = (700 - 250) = 450
Bank E:
Number of persons invested in (Fixed deposit + Mutual Funds) = 650
Number of persons invested in Fixed deposit = 350
Number of persons invested in Mutual Funds = (650 - 350) = 300
| Name of the bank | Number of persons invested in Fixed deposit | Number of persons invested in Mutual Fund |
|---|---|---|
| Bank A | 400 | 200 |
| Bank B | 300 | 150 |
| Bank C | 500 | 250 |
| Bank D | 250 | 450 |
| Bank E | 350 | 300 |
Solution:
Number of persons invested in Fixed deposits in Bank B = 300
Number of persons invested in Fixed deposits in Bank D = 250
Number of persons invested in Fixed deposits in Bank E = 350
Average number of persons invested in Fixed deposits in Bank B, D and E = (300 + 250 + 350)/3 = 900/3 = 300
Number of persons invested in Mutual deposits in Bank A = 200
Number of persons invested in Mutual deposits in Bank C = 250
Number of persons invested in Mutual deposits in Bank E = 300
Average number of persons invested in Mutual funds in Bank A, C and E = (200 + 250 + 300) = 750/3 = 250
Required difference = (300 - 250) = 50
Directions: Study the following direction shows the total number of persons invested in Fixed deposits and mutual funds and number of persons invested in mutual funds in five different banks A, B, C, D and E.
Find the ratio between the number of persons invested in Mutual funds in Bank E to the number of persons invested in Fixed deposits in same Bank.
7: 9
6: 7
3: 5
4: 5
5: 6
Correct answer
6: 7
Why this answer is correct
General solution:
Bank A:
Number of persons invested in (Fixed deposit + Mutual Funds) = 600
Number of persons invested in Fixed deposit = 400
Number of persons invested in Mutual Funds = (600 - 400) =200
Bank B:
Number of persons invested in (Fixed deposit + Mutual Funds) = 450
Number of persons invested in Fixed deposit = 300
Number of persons invested in Mutual Funds = (450 - 300) =150
Bank C:
Number of persons invested in (Fixed deposit + Mutual Funds) = 750
Number of persons invested in Fixed deposit = 500
Number of persons invested in Mutual Funds = (750 - 500) =250
Bank D:
Number of persons invested in (Fixed deposit + Mutual Funds) = 700
Number of persons invested in Fixed deposit = 250
Number of persons invested in Mutual Funds = (700 - 250) = 450
Bank E:
Number of persons invested in (Fixed deposit + Mutual Funds) = 650
Number of persons invested in Fixed deposit = 350
Number of persons invested in Mutual Funds = (650 - 350) = 300
| Name of the bank | Number of persons invested in Fixed deposit | Number of persons invested in Mutual Fund |
|---|---|---|
| Bank A | 400 | 200 |
| Bank B | 300 | 150 |
| Bank C | 500 | 250 |
| Bank D | 250 | 450 |
| Bank E | 350 | 300 |
Solution:
Number of persons invested in Mutual funds in Bank E = 300
Number of persons invested in Fixed deposits in Bank E = 350
Required ratio = 300: 350 = 6: 7
Solving previous year questions by topic helps identify recurring concepts, question patterns, and frequently asked sub-topics. Attempt each question, review the step-by-step explanation, and note down key formulas or facts for quick revision before the exam.