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**Quantitative Aptitude Quiz For NIACL AO**

**Directions (1-5): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer **

**Q1. I. 63x - 94√x + 35 = 0 **

**II. 32y - 52√y + 21 = 0**

**Q2.I. x²-7√3 x+35√15 -5√5x=0 **

**II. y²-5√5y+30=0**

**Q3. I. 11x + 5y = 117 **

** II. 7x + 13y = 153**

**Q4. I. 6x² + 51x + 105 = 0 **

** II. 2y² + 25y + 78 = 0**

**Q5. I. x² -12x + 27 = 0 **

**II. y² + 5y - 84 = 0**

**Directions (6-10): Each question is followed by three statements. You have to study the question and all the three statements given and decide whether any information provided in the statement(s) is redundant and can be dispensed with while answering the questions. **

**Q6. **The average of temperatures of Sunday, Monday and Tuesday is 30° C. Find the temperature of Wednesday.

**A. **The sum of temperatures of Monday and Tuesday is 61° C.

**B. **The sum of temperatures of Sunday, Monday, Tuesday and Wednesday is 122° C.

**C. **The temperature of Wednesday is 3° C more than that of Sunday.

From B: Temp. on Wed = 122 - 30 × 3 = 32°C.

From A & C: Temp. on Wed = 29 + 3 = 32°C

Hence, either B alone or A and C together can be dispensed with.

**Q7. **A person purchases an article from a shop for Rs. 11640 and the shopkeeper bears some losses. How much amount was required by the wholesaler to purchase the article if the wholesaler directly sold the article to the shopkeeper?

**A. **The difference between the C.P. of the shopkeeper and that of the person is Rs 360.

**B. **Cost price of shopkeeper is 16 2/3 % less than that of wholesaler.

**C. **The wholesaler earns a profit of 20%.

**Q8. **What is the compound interest on a sum?

**A. **An amount becomes Rs 4410 at the compound rate of 5% in 18 months.

**B. **An amount becomes Rs 5324 in 3 years.

**C. **Compound rate of interest is 10%

**Q9. 6 men and 9 women can do a work in 14 days. In how many days can 12 men and 3 women do the same work? A. 20 men and 33 women can do the same work in 4 days. B. Work done by 2 men is equal to 3 women. C. 6 women can do two-thirds of the same work in 28 days.**

A: 80 M + 132 W = 84 M + 126 W [from (i)]

B: 2M = 3W

C: 6 women can do the same work in 42 days.

So, by combining (i) with any of the three statements, we can find out the no. of days required to complete the same work by 12 men and 3 women. So, any two of them can be dispensed with.

**Q10. What is the area of the rectangle? A. Perimeter of the rectangle is 80 m. B. The total cost of flooring the rectangle at Rs. 2 per square metre is Rs 750. C. Breadth of the rectangle is 15 m.**

∴ l + b = 40

B: Area of the rectangle =750/2 = 375 m²

C : b = 15

∴ l = 25 (from A)

∴ Area = l × b = 25 × 15 = 375 m²

So, either B alone or A and C together can be dispensed with.

**Q11. Circumference of a circle –A is****times perimeter of a square. Area of the square is 784 sq cm. What is the area of another circle-B whose diameter is half the radius of the circle –A?**

**Q12. The product of the present ages of Sakshi and Nidhi is 320. Eight years from now, Sakshi’s age will be three times the age of Nidhi. What was the age of Sakshi when Nidhi was born? **

**Q13. A train travels a distance of 600 km at a constant speed. If the speed of the train is increased by 5 km/hr, the journey would take 4 hrs less. Find the speed of the train.**

**Q14. If the ages of P and R are added to twice the age of Q, the total becomes 59. If the ages of Q and R are added to thrice the age of P, the total becomes 68 and if the age of P is added to thrice the age of Q and thrice the age of R, the total becomes 108. What is the age of P? **

Q + R + 3P = 68 …………(ii)

P + 3Q + 3R = 108 ………….(iii)

From 3 × (ii) – (iii)

P = 12 years

**Q15. On selling a Pen at 5% loss and a book at 15% gain, Karim gains Rs. 7. If he sells the Pen at 5% gain and the book at 10% gain, then he gains Rs. 13. The actual price of the book is **