Solved Numerical Aptitude Questions

Question 1: The sum of the ages of husband and wife is 70 years and the ratio of their age is 3 : 2. The age of the wife is:

1. 32 years 
2. 25 years

3. 28 years

4. 27 years
5.

Correct Answer: 3.


Question 2: A trader would incur a loss of 15%, if he sells pens at 10.20 per pen. If 12.5% profit is to be earned after allowing 10% discount on the marked price then find the marked price. ?

1. 20
2. 1.5
3. 150
4. 12
5. 15

Correct Answer: 5.


Question 3: A shopkeeper sells sugar at 4% less than market price, but gives weight 800 grams instead of 1 Kg. What is the profit percentage overall?

1. 5%
2. 10%
3. 20%
4. 25%
5. 12%

Correct Answer: 3.


Question 4: What is the location of the atomic power station?

1. Mumbai
2. Tarapore
3. Kalpakkam
4. Kaiga
5.

Correct Answer: 2.


Question 5: A shirt was sold at a profit of Rs.50. If a trouser was sold at half the profit percenta9e and the cost price of the trouser is thrice that of the shirt, find the profit made on the trouser (in Rs.)

1. 25
2. 57
3. 75
4. 50
5.

Correct Answer: 3.


Question 6: The average runs scored by a batsman in 20 matches is 40. In the next 10 matches, the batsman scored an average of 13 runs. Find his average in all the 30 matches.

1. 27
2. 26
3. 31
4. 29
5.

Correct Answer: 3.


Question 7: 729 ml of a mixture contains milk and water in ratio 7 : 2. How much more water is required to be added to get a new mixture containing milk and water in the ratio of 7 : 3?

1. 60 ml
2. 70 ml
3. 81 ml
4. 90 ml
5.

Correct Answer: 3.


Question 8: What is the difference between the simple interest and the compound interest on a sum of 4700 at 20% p.a. for a period of 2 years ?

1. Rs.190
2. Rs.188
3. Rs.196
4. Rs.199
5.

Correct Answer: 2.


Question 9: If a trader sold two cars each at 325475 and gains 12% on the first and loses 12% on the second, then his profit or loss percent on the whole is?

1. 14.48% loss
2. 14.4% loss
3. 14.4% profit
4. 1.44% loss
5.

Correct Answer: 2.


Question 10: A trader wants to sell a watch at 25% profit. If its cost price was Rs.x more, an extra profit of 50.would be made on it. Find x (in Rs.)

1. 100
2. 125
3. 130
4. 145
5. 200

Correct Answer: 5.


Question 11: In how many years does a sum of Rs.5000 give a simple interest of Rs.16500 at 15°, p.a.?

1. 22
2. 24
3. 25
4. 23
5.

Correct Answer: 1.


Question 12: A certain sum becomes Rs.20720 in 4 years and 24080 in 6 years at simple interest. Find sum and rate of interest.

1. Rs.12000; 12% p.a
2. Rs.14000; 12% p.a
3. Rs.12000; 15% p.a
4. Rs.14000; 15% p.a
5.

Correct Answer: 2.


Question 13: Francis and George started a business with investments of Rs.7000/- and Rs.10000/-. After x months, Francis left. After two more months David joined the business with an investment of Rs.10000/-. If the annual profit is shared among David, Francis and George in the ratio 10 : 7 : 24, find the respective time periods of David, Francis and George for which they stayed that year.

1. 5:5:12
2. 1:1:3
3. 1:1:4
4. 1:1:2
5.

Correct Answer: 3.


Question 14: 89.447+98.3+67.77=_____________

1. 254.417
2. 250.146
3. 254.369
4. 2549369
5. 255..517

Correct Answer: 5.


Question 15: The average mark of the students of a class in a particular exam is 80. If 5 students whose average mark in that exam is 40 are excluded, the average mark of the remaining is 90. Find the number of students who wrote the exam.

1. 15
2. 20
3. 25
4. 35
5.

Correct Answer: 3.


Question 16: The difference between 38% of number and 24% of the same number is 135.10. what is 40% of that number ?

1. 394
2. 370
3. 378
4. 386
5. None of these

Correct Answer: 4.


Question 17: 29.299+5.55+68.7=____________________________

1. 104.236
2. 123.569
3. 103.549
4. 124.263
5. 25.25521

Correct Answer: 3.


Question 18: A and B can do a work in 20 and 30 days respectively. They started the work together, but A left after some time and B finished the remaining work in 5 days. Then what is the number of days after which A left?

1. 5
2. 10
3. 12
4. 15
5. None of these

Correct Answer: 2.


Question 19: Avinash purchases five cycles at the rate of Rs 450 per cycle. He spends Rs 150 on each cycle for repairs. At what price he should sell them to gain a profit of 35%?

1. Rs 600
2. Rs 750
3. Rs 608
4. Rs 810
5.

Correct Answer: 4.


Question 20: A sold an article to B at 10% profit and B sold it to C at 15% profit. If B purchased for Rs.220/-, then find the difference in the purchasing prices for A and C.

1. 35
2. 53
3. 45
4. 78
5.

Correct Answer: 2.


Question 21: A shopkeeper sold an Air-conditioner for Rs 25,935 with a discount of 9% and earned a profit of 3.74%. What would have been the percentage of profit earned if no discount were offered?

1. 15.6%
2. 16% 
3. 12.3%
4. None of the above
5.

Correct Answer: 4.


Question 22: Two equal glasses are respectively 1/4 and 3/4 full of milk. They are then filled up with water and the contents are mixed in a tumbler. The ratio of milk and water in the tumbler is:

1. 3 : 11
2. 7 : 17
3. 9 : 23
4. 11 : 23
5.

Correct Answer: 2.


Question 23: Pick the odd number from the series - 11, 12, 8, 27, 10.75, 56.5

1. 12
2. 8
3. 27
4. 10.75
5. 56.5

Correct Answer: 5.


Question 24: 9.75 + 25.88 + ? = 41.18

1. 5.55
2. 5.75
3. 6.57
4. 4.23
5.

Correct Answer: 1.


Question 25: The value of a machinery decreases by 20% p.a. on the value at the beginning of every year. The value of the machinery after 2 years will be Rs.23526,40. What is the present value of the machinery?

1. Rs.36770
2. Rs.36750
3. Rs.36740
4. Rs.36760
5.

Correct Answer: 2.

Percantage change Or Profit-loss

1. The price of petrol is increased by 25%. By what percent the consumption be reduced to make the expenditure remain the same?

a. 25%             b. 33.33%                    c. 20%             d. None

2. If the length of a rectangle is increased by 33.33%, by what percentage should the breadth be reduced to make the area same?

a. 20%             b. 33.33%                    c. 25%             d. None

Have the below list::::::::::::::::

  

10%                            0.1                               1/10

12.5%                         0.125                           1/8

16.66%                       0.1666                         1/6

20%                            0.2                               1/5

25%                            0.25                             1/4

30%                            0.3                               3/10

33.33%                       0.3333                         1/3

40%                            0.4                               2/5

50%                            0.5                               1/2

60%                            0.6                               3/5

62.5%                         0.625                           5/8

66.66%                       0.6666                         2/3

70%                            0.7                               7/10

75%                            0.75                             3/4

80%                            0.8                               4/5

83.33%                       0.8333                         5/6

90%                            0.9                               9/10

100%                          1.0                                1

Short trick for above problems:

in first problem,he want to bring back the original value,so need to decrease the value.

price increased,so became–25%

in the above list,see the next decreased value from 25% IS 20% so yopur answer is 20%

in second problem

increased value——–33.33%

next decreased value–30%,SO ANSWER IS 30%

Percentage Change:

A change can be of two types – an increase or a decrease.                    

When a value is changed from initial value to a final value,

% change = (Difference between initial and final value/initial value) X 100

Eg: If 20 changes to 40, what is the % increase?

Soln: % increase = (40-20)/20 X 100 = 100%.

Note:

1. If a value is doubled the percentage increase is 100.

2. If a value is tripled, the percentage change is 200 and so on.

Percentage Difference:

% Difference = (Difference between values/value compared with) X 100.

Eg: By what percent is 40 more than 30?

Soln: % difference = (40-30)/30 X 100 = 33.33%

(Here 40 is compared with 30. So 30 is taken as denominator)

Eg: By what % is 60 more than 30?

Soln: % difference = (60-30)/30 X 100 = 100%.

(Here is 60 is compared with 30.)

Hint: To calculate percentage difference the value that occurs after the word “than” in the question can directly be used as the denominator in the formula.

Understanding Profit and Loss:

So, by now we came to know that if CP is increased and sold it would result in profit and vice versa.

Also whatever increase is applied to CP, that increase itself is the profit.

For Rs. 10 profit, CP is to be increased by RS. 10 and the increased price becomes SP.

For 10% profit, CP is to be increased by 10% and it is the SP.

(From previous chapter we know that any value increased by 10% becomes 1.1 times.)

So, for 10% profit, CP increased by 10% => 1.1CP = SP.

·        SP = 1.1CP => SP/CP = 1.1 => 10% profit

·        SP = 1.07CP => SP/CP = 1.07 => 7% profit

·        SP = 1.545CP => SP/CP = 1.545 => 54.5% profit and so on.

Similarly,

·        SP = 0.9CP => SP/CP = 0.9 => 10% loss (Since 10% decrease)

·        SP = 0.76CP => SP/CP = 0.76 => 24% loss and so on.

So, to calculate profit % or loss %, it is enough for us to find the ratio of SP to CP.

Note:

1.      If SP/CP > 1, it indicates profit.

2.      If SP/CP < 1, it indicates loss.

Multiple Profits or losses:

A trader may sometimes have multiple profits or losses simultaneously. This is equivalent to having multiple changes and so all individual changes are to be multiplied to get the overall effect.

Relationship among CP, SP and MP:

A trader adds his profit to the investment and sells it at that increased price.

Also he allows a discount on Marked Price and sells at the discounted price.

So, we can say that,

SP = CP + Profit. (CP applied with profit is SP)

SP = MP – Discount. (MP applied with discount is SP)

Q: A trader uses 1 kg weight for 800 gm and increases the price by 20%. Find his profit/loss %.

Soln: 1 kg weight for 800 gm => loss (decrease) => 800/1000 = 0.8

20% increase in price => profit (increase) => 1.2

So, net effect = (0.8) X (1.2) = 0.96 => 4% loss.

2.      A milk vendor mixes water to milk such that he gains 25%. Find the percentage of water in the mixture.

Soln: To gain 25%, the volume has to be increased by 25%.

So, for 1 lt of milk, 0.25 lt of water is added => total volume = 1.25 lt

% of water = 0.25 / 1.25 X 100 = 20%.