A candidate with **quantitative aptitude** knowledge will be in a better position to analyse and make sense of the given data. Quantitative Aptitude knowledge is an **important** measure for a prospective business executive’s **abilities**.

The article **IBPS Clerk Prelims Numerical Ability Quiz 7** provides Quantitative Aptitude questions with answers useful to the candidates preparing for** Competitive exams, Entrance exams, Interviews** etc.

**1. What is the average of the difference between the number of Airtel users in Chennai and Mumbai and the difference between the number of Vodafone users in Delhi and Bangalore?**

**2. The number of Jio users in Bangalore is approximately what percent of the total number of users in Mumbai all the networks together?**

**3. What is the average number of Vodafone users in all the cities together?**

**4. What is the ratio of the average number of Airtel and Jio users in Chennai to the average number of Vodafone and Jio users in Delhi?**

**5. In Bangalore, 60% of the Jio users are male and 80% of Airtel users are female. What is the difference between the male users in Jio and Airtel together and female users in Jio and Airtel together?**

**Answers and Explanations**

**1. Answer –** Option B

**Explanation –**

Difference of Airtel user in Chennai and Mumbai = 7000 – 5000 = 2000

Difference of Vodafone user in Delhi and Bangalore = 7000 – 3000 = 4000

Average = \(\frac {(2000 + 4000)}{2} = 3000\)

**2. Answer –** Option C

**Explanation –**

Required percentage = \(\frac {8000}{(7000 + 4000 + 6000)} \times 100 = 47%\)

**3. Answer –** Option D

**Explanation –**

Average = \(\frac {(8000 + 7000 + 3000 + 4000)}{4} = 5500\)

**4. Answer –** Option C

**Explanation –**

Average Airtel and Jio users in Chennai = \(\frac {(5000 + 10000)}{2} = 7500\)

Average of Vodafone and Jio users in Delhi = \(\frac {(3000 + 9000)}{2} = 6000\)

Required ratio = 7500: 6000 = 5 : 4

**5. Answer –** Option B

**Explanation –**

Male user in Jio = \(\frac {8000 \times 60}{100} = 4800\)

Female users in Jio = \(\frac {8000 \times 40}{100} = 3200\)

Female users in Airtel = \(\frac {80}{100} \times 6000 = 4800\)

Number of male users in Airtel = \(\frac {20}{100} \times 6000 = 1200\)

Difference = (4800 + 3200) – (4800 + 1200) = 2000

**1. 4080, 3360, 2730, 2184, 1716, ?**

**2. 3, 21, 33, 39, 39, ?**

**3. 19, 17, 30, 82, 312, ?**

**4. Three unbiased coins are tossed. What is the probability of getting at least 2 tails?**

**5. Tickets numbered 1 to 50 are mixed and one ticket is drawn at random. Find the probability that the ticket drawn has a number which is a multiple of 4 or 7?**

**Answers and Explanations**

**1. Answer –** Option A

**Explanation –**

\({16}^{3}\) – 16 = 4080

\({15}^{3}\) – 15 = 3360

\({14}^{3}\) – 14 = 2730

\({13}^{3}\) – 13 = 2184

\({12}^{3}\) – 12 = 1716

\({11}^{3}\) – 11 = 1320

**2. Answer –** Option C

**Explanation –**

3 + (3 * 6) = 21

21 + (2 * 6) = 33

33 + (1 * 6) = 39

39 + (0 * 6) = 39

39 + (-1 * 6) = 33

**3. Answer –** Option A

**Explanation –**

19 * 1 – 2 = 17

17 * 2 – 4 = 30

30 * 3 – 8 = 82

82 * 4 – 16 = 312

312 * 5 – 32 = 1528

**4. Answer –** Option B

**Explanation –**

S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}

E = {HTT, THT, TTH, TTT}

n(S) = 8

n(E) = 4

P(E) =\(\frac {n(E)}{ n(S)} = \frac {4}{8}\) = 0.5

**5. Answer –** Option A

**Explanation –**

S = {1, 2, 3, … , 49, 50}

E = {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 7, 14, 21, 35, 42, 49}

n(S) = 50

n(E) = 18

P(E) = \(\frac {n(E)}{ n(S)} = \frac {18}{50} = \frac {9}{25}\)

**2. A manufacturer sells a pair shoes to a wholesale dealer at a profit of 20 %. Wholesaler sells them to retailer at a profit of 25 %. The shoes are again sold to the customer for Rs. 50.50, thereby earning a profit of 30 %. Find the cost price of manufacturer.**

**3. 6 men can pack 12 boxes in 7 days by working for 7 hours a day. In how many days can 14 men pack 18 boxes if they work for 9 hours a day?**

**4. Monika is twice as good as Sonika and together they complete a piece of work in 20 days. In how many days will Monika alone will finish the work?**

**5. In a mixture of 13 litres, the ratio of milk and water is 3 : 2. If 3 liters of this mixture is replaced by 3 liters of milk, then what will be the ratio of milk and water in the newly formed mixture?**

**Answers and Explanations**

**1. Answer –** Option D

**Explanation –**

Let cost price goods be Rs. 100

Marked price (Selling Price) marked by the shopkeeper on goods = Rs. 130

He sells the goods at a discount of 15 %

Therefore,

Selling price = 85 % of Rs. 130 = Rs. 110.50

Gain = S.P. – C.P. = 110.5 – 100 = 10.50 %

**2. Answer –** Option C

**Explanation –**

Profit earned by manufacturer = 20 %

Profit earned by wholesaler = 25 %

Profit earned by retailer = 30%

S.P. of shoes = Rs. 50

Therefore, 130 % of 125 % of 120 % of x = 50.50

=\(\frac {120}{100} \times \frac {125}{100} \times \frac {130}{100} \times x = \frac {5050}{100} \)

\(\frac {195}{100} x = \frac {5050}{100} \)

x = \(\frac {5050 \times 100}{195 \times 100} \)

x = 25.89

Cost price of shoes = Rs. 25.89

**3. Answer –** Option A

**4. Answer –** Option B

**Explanation –**

Hint: If ‘A’ is ‘x’ times as good a workman as ‘B’, then ratio of work done by A & B = x: 1

Monika’s 1 day work : Sonika’s 1 day work = 2:1

(Monika’s + Sonika’s ) 1 day work = \(\frac {1}{20}\)

Divide \(\frac {1}{20}\) in the ratio 2:1 ———( To divide the number ‘a’ into ratio x & y , we have first part = \(\frac {ax}{x + y}\))

Therefore, Monika’s 1 day work = \((\frac {1}{20}) \times (\frac {2}{2} + 1) = \frac {1}{30}\)

Hence, Monika will alone finish the work in 30 days.

**5. Answer –** Option C

**Explanation –**

**Given:** Total quantity of mixture = 13 liters

3 litres of mixture is removed from the container – So, let’s forget this altogether!

Now, you are left with only 10 litres of mixture in 3:2 ratio.

Milk in 10 litres mix = 10 x \(\frac {3}{(2 + 3)}\) = 6 liters

Water in 10 litres mix = 10 x \(\frac {2}{(2 + 3)}\) = 4 liters

We add 3 litres milk to this.

So, milk in new mix is = 6 liters + 3 litres = 9 litres

Water= 4 litres

Ratio of milk : water = 9 : 4