Hello Aspirants. Welcome to Online Quant Section in AffairsCloud.com. We are starting **IBPS Clerk course 2015 **and we are creating sample questions in **Quantitative Aptitude** section, type of which will be asked in IBPS Clerk Prelims Exam.

**Stratus – IBPS Clerk Course 2015 **

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** Directions (1-5): Study the information carefully to answer the questions that follow. **

A Company produced five different products, Viz mobile phone, pen drive, calculator, television and washing machine. The total number of all the five products is 1650. 24% of the total number of products is mobile phones. One-sixth of the total number of products is pen drives. 14% of the total number of products is calculators. Remaining products are either television or washing machine. The number of washing machines is 50 more than the number of televisions produced.

**What is the ratio of the number of washing machines to the number of calculators produced by the company?**

A) 17:11

B) 19:11

C) 11:17

D) 19:13

E) None of these**B) 19:11**

Explanation:

Mobiles = 24% of 1650 = 396

Pendrives = 1/6 * 1650 = 275

Calculators = 14/100 * 1650 = 231

Left = 1650 – (396+275+231) = 748

So TVs + Machines = 748, and also given that Machines = TVs +50. So, TVs = 349 and Machines = 399

Machines : Calculators = 399 : 231**If 24 percent of the pen drives are defective, what is the number of pen drives which are not defective?**

A) 209

B) 215

C) 219

D) 225

E) None of these**A) 209**

Explanation:

Defective pds = 24/100 * 275 = 66

Non defective pds = 275-66**The number of televisions produced is approximately what percent of the total number of calculators and washing machines produced together?**

A) 63

B) 55

C) 59

D) 51

E) 67**B) 55**

Explanation:

Cal + Machines = 231+399 = 630

TVs = 349

So required % = 349/630 * 100**What is the difference between the total number of televisions and mobile phones together and the number of calculators produced?**

A) 534

B) 524

C) 511

D) 523

E) None of these**E) None of these**

Explanation:

349+396 – (231) = 514**What is the total number of pen drives, calculators and washing machines produced by the company?**

A) 907

B) 917

C) 925

D) 905

E) None of these**D) 905**

Explanation:

275+231+399**It takes 3 days for 10 men and 21 women to complete a piece of work and also 12 men can complete the same work in 6 days. Find the number of days in which 12 women can complete the same work.**

A) 10

B) 9

C) 11

D) 8

E) None of these**B) 9**

Explanation:

Let number of days taken by 1 women is w, and by 1 man is m.

Then 1/m * 10 + 1/w * 21 = 1/3

And also 1/m * 12 = 1/6, so m = 72

This gives 1/72 * 10 + 1/w * 21 = 1/3 . so w = 108

So 12 women in 108/12 days**4a**^{2}– 20a + 21 = 0, 2b^{2}– 5b + 3 = 0

A) If a < b

B) If a > b

C) if relationship between a and b cannot be established

D) If a ≥ b

E) If a ≤ b**D) If a ≥ b**

Explanation:

4a^{2}– 20a + 21 = 0

4a^{2}– 14a – 6a + 21 = 0

2a(2a-7) – 3(2a-7)=0

a = 7/2, 3/2

2b^{2}– 5b + 3 = 0

2b^{2}– 2b – 3b + 3 = 0

2b(b-1)-3(b-1)=0

b=1, 3/2

1 3/2 7/2**a**^{2}= 4, b^{2}= 9

A) If a < b

B) If a > b

C) if relationship between a and b cannot be established

D) If a ≥ b

E) If a ≤ b**C) if relationship between a and b cannot be established**

Explanation:

a = -2, 2

b = -3, 3

-3 -2 2 3**2a**^{2}+ 3a + 1 = 0, 12b^{2}+ 7b + 1 = 0

A) If a < b

B) If a > b

C) if relationship between a and b cannot be established

D) If a ≥ b

E) If a ≤ b**A) If a < b**

Explanation:

2a^{2}+ 3a + 1 = 0

2a^{2}+2a + a +1 = 0

2a(a+1)+(a+1)=0

(a+1)(2a+1) =0

a= -1, -1/2

12b^{2}+ 7b + 1 = 0

12b^{2}+4b + 3b + 1 = 0

4b(3b+1)+(3b+1) = 0

b = -1/3, -1/4

-1 -1/2 -1/3 -1/4**a**^{2}+ 5a + 6 = 0, b^{2}+ 3b + 2 = 0

A) If a < b

B) If a > b

C) if relationship between a and b cannot be established

D) If a ≥ b

E) If a ≤ b**E) If a ≤ b**

Explanation:

a^{2}+ 5a + 6 = 0

(a+3)(a+2) = 0

a = -3, -2

b^{2}+ 3b + 2 = 0

(b+2)(b+1) = 0

b = -2, -1

-3 -2 -1

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