## Quant Quiz for IBPS PO / RRB / UIICL / OICL

**Directions:**

*In each of these questions, two equations numbered I and II with variables x and y are given. You have to solve both the equations to find the value of x and y. Give answer:*

- if x > y
- if x ≥ y
- if x < y
- if x ≤ y
- if x = y or relationship between x and y cannot be determined.

**1.**

**I. x – 9 √3 x + 60 = 0**

**II. y – 14 √2 y + 96 = 0**

**2.**

**I. 20 x**

^{2}– 159 x + 304 = 0**II. 25 y**

^{2}– 120 y + 108 = 0

**3.**

**I. x**

^{2}–5 √5 x + 30 = 0**II. y**

^{2}– 7 √7 y + 84 = 0

**4.**

**I. x**

^{2}– 14 x + 45 = 0**II. y**

^{2}– 20 y + 99 = 0

**Directions (Q. 5-7): In the following number series one number is wrong. Find out the wrong number.**

**5. 289, 360, 529, 841, 961, 1369**

- 289
- 961
- 529
- 1369
- 360

**6. 197, 233, 297, 396, 541, 737**

- 396
- 297
- 541
- 197
- 737

**7. 157, 183, 210, 241, 273, 307**

- 210
- 183
- 241
- 157
- 273

**8. Biswas borrowed a sum of Rs 30,000. He took a part of it at 12% per annum rate of simple interest and the remaining at 10% per annum. At the end of two years, he returned Rs 36480 and discharged his loan. What was the sum borrowed at 12% per annum rate of interest?**

- Rs 16000
- Rs 18000
- Rs 17500
- Rs 12000
- None of these

**9. The numerator of a fraction is increased by**

^{1}/_{4}and the denominator is decreased by^{1}/_{3}, the fraction thus obtained is^{33}/_{64}. What was the original fraction?^{ 9}/_{11}-
^{5}/_{7} ^{3}/_{7 }-
^{11}/_{40 } - None of these

**10. A train leaves P for Q at the same time that a train leaves Q for P. The two trains meet at the end of 6 hours. The train from P to Q travelles 8 kilometres an hour more than the other. What would be the speed of the slower train if the distance from P to Q is 528 kilometres?**

- 40 km/hr
- 30 km/hr
- 48 km/hr
- 50 km/hr
- Data inadequate

**Answers:***5**5**3**4**5**1**1**4**4**1*