**Directions (1-5): In the following questions, two quantities (I) and (II) are given. You have to solve both the quantities and mark the appropriate answer.**

**Q1.** **Quantity I: **In how many ways a committee of 4 members with at least 2 women can be formed from 8 men and 4 women?

**Quantity II: **How many 3-digit numbers which are divisible by 3 can be formed from 0,1,2,3,4,5,6,7,8,9, such that 3-digit number always ends with an even number?

(a) Quantity I < Quantity II

(b) Quantity I ≤ Quantity II

(c) Quantity I > Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I = Quantity II or no relation.

**Q2.**** Quantity I: **A man invested Rs.5900 for 3 years in a scheme offering R% p.a. at SI and received Rs.3186 as interest after 3 years. If the man invested Rs.7900 at (R+5)% p.a. at SI for 3 years, then find interest received by man (in Rs.).

**Quantity II: **A man invested Rs.X at 13% p.a. at CI for 2 years and interest received by him after 2 years is Rs.2325.96. Find X (in Rs.).

(a) Quantity I < Quantity II

(b) Quantity I ≤ Quantity II

(c) Quantity I > Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I = Quantity II or no relation.

**Q3.**** Quantity I: **Ratio of CP to MP of an article is 19 : 30. Shopkeeper allowed 24% discount and earned 20% profit on selling the article. If SP of the article is Rs.912, then find difference between amount of profit earned and amount of discount allowed (in Rs.).

**Quantity II: **Shopkeeper marked an article 70% above its cost price and he allowed 40% discount on it. If shopkeeper sold the article at Rs.183.6, then find sum of amount of profit earned and amount of discount allowed(in Rs.).

(a) Quantity I < Quantity II

(b) Quantity I ≤ Quantity II

(c) Quantity I > Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I = Quantity II or no relation.

**Q4.**** Quantity I: **A boat can cover distance of 480 km each in downstream and in upstream in total 11 hours. If ratio of speed of boat in still water to that of stream is 11 : 1, then find speed of boat in still water (in km/hr.).

**Quantity II: **A boat can cover a distance of 350 km in downstream in 3.5 hours and can cover a distance of 380 km in upstream in 5 hours. Find speed of boat in still water (in km/hr.).

(b) Quantity I ≤ Quantity II

(c) Quantity I > Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I = Quantity II or no relation.

**Q5.**** Quantity I: **B’s present age is 60% more than A’s present age and ratio of present age of B to that of C is 5 : 2. D is 8 years younger than B and D’s present age is twice of that of C. Find average of present age of A, B, C & D (in years).

**Quantity II: **Present age of R is equal to average of present age of P & Q. 4 years hence, age of P is twice of age of Q at that time. If R is 15 years younger than P, then find age of younger person among P, Q & R.

(b) Quantity I ≤ Quantity II

(c) Quantity I > Quantity II

(d) Quantity I ≥ Quantity II

(e) Quantity I = Quantity II or no relation.

**Directions (6-10): Study the bar chart given below and answer the following questions.
**Bar chart shows the percentage of applicants who applied for renewal of passports on 5 different passport centers (A, B, C, D & E) and percentage of female applicants who applied for renewal of passports out of total applicants who applied for renewal of passports.

**Note – **Total number of applicants on a particular center = Number of applicants for new passport on that center + Number of applicants for renewal of passport on that center.

**Q6. If total number of applicants in E are 70% of total number of applicants in A and ratio of male to female applicants who applied for new passports in A & E is 7 : 3 & 2 : 1 respectively, then find ratio of total female applicants in A to total female applicants in E.**

(a) 85 : 91

(b) 90 : 91

(c) 90 : 93

(d) 88 : 91

(e) None of the above.

**Q8. If difference between male and female who applied for renewal of passports from A is 2400, then find number of applicants who applied for new passport from A.**

(a) 9000

(b) 6000

(c) 7000

(d) 10000

(e) 8000

**Q9. If total applicants from B are 5000 less than total applicants from E and male applicants who applied for renewal of passports from B is 3600, then find total number of applicants who applied for new passports from B & E together**

(a) 18500

(b) 21500

(c) 15500

(d) 19500

(e) 24500

**Q10. If total applicants from C & E together are 30000 and female applicants who applied for renewal of passports from C are 800 more than that of from E, then find average number of applicants who applied for new passports from C & E.**

(a) 9000

(b) 8000

(c) 6500

(d) 4000

(e) 11500

**Directions (11-15): Study the passage given below and answer the following questions.**

There are 3 cities – Delhi, Dhaka and Bangkok. Total distance between Delhi – Dhaka, Dhaka – Bangkok and Delhi – Bangkok is 19800 km. Distance between Dhaka – Bangkok is 80% of the distance between Delhi – Bangkok and ratio of distance between Delhi – Dhaka to distance between Bangkok – Dhaka is 27 : 32.

Fares of 3 different flight operators (A, B & C) on these 3 routes (Delhi – Dhaka, Dhaka – Bangkok and Delhi – Bangkok) are –

**Delhi – Dhaka: **Fare of C is 25% more than that of B and fare of A is Rs.2700 less than that of B. Ratio of fare of A to that of C is 3 : 5.

**Delhi – Bangkok: **Average fare of A & B is Rs.20000 and fare of C is Rs.8000 more than average fare of A & B. Average fare of B & C is Rs.26000.

**Dhaka – Bangkok: **Fare of B is Rs.16000 and ratio of fare of A to that of B to that of C is 6 : 5 : 8.

**Q11. If Veer wants to travel from Delhi – Dhaka and then Dhaka – Bangkok without changing flight operator, then which flight operator would be the cheapest option among A, B & C for Veer.**

(a) A

(b) B

(c) C

(d) Either A or B

(e) Either A or C

**Q12. If Deepak is travelling from Dhaka – Bangkok and Bangkok – Delhi from C, then find the amount paid by Deepak per km for the entire trip.**

(a) Rs. 3.11/km

(b) Rs. 3.98/km

(c) Rs. 3.42/km

(d) Rs. 3.62/km

(e) Rs. 3.01/km

**Q13. For which of the following trip, the fare will be maximum?**

(a) A, Delhi – Bangkok

(b) C, Delhi – Dhaka

(c) B, Dhaka – Bangkok

(d) A, Dhaka – Bangkok

(e) B, Delhi – Dhaka

**Q14. On Dhaka – Bangkok route, which flight operator is charging lowest fare per km?**

(a) A

(b) B

(c) C

(d) Either B or C

(e) Cannot be determined.

**Q15. Find average fare of A, B & C on Delhi – Dhaka route.**

(a) Rs.12000

(b) Rs.11500

(c) Rs.10400

(d) Rs.11200

(e) Rs.10800

**Practice More Questions of Quantitative Aptitude for Competitive Exams:**

Solutions

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