# Quantitative Aptitude For NIACL AO Phase II: 17th February 2019

Dear Aspirants,

### Quantitative Aptitude Quiz For NIACL AO

Numerical Ability or Quantitative Aptitude Section has given heebie-jeebies to the aspirants when they appear for a banking examination. As the level of every other section is only getting complex and convoluted, there is no doubt that this section, too, makes your blood run cold. The questions asked in this section are calculative and very time-consuming. But once dealt with proper strategy, speed, and accuracy, this section can get you the maximum marks in the examination. Following is the Quantitative Aptitude quiz to help you practice with the best of latest pattern questions.

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

if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q2.I. x²-7√3 x+35√15 -5√5x=0
II. y²-5√5y+30=0

if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q3. I. 11x + 5y = 117
II. 7x + 13y = 153

if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q4. I. 6x² + 51x + 105 = 0
II. 2y² + 25y + 78 = 0

if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

Q5. I. x² -12x + 27 = 0
II. y² + 5y - 84 = 0

if x>y
if x≥y
if x<y
if x ≤y
if x = y or no relation can be established between x and y.
Solution:

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.

A only
B only
A and C only
Either B alone or A and C together
None of these
Solution:

From A: Temp. on Sunday = 30 × 3 - 6 = 29°C.
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%.

Any of them
Any two of them
Either B or C
A and either B or C
None of these
Solution:

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%

Either A alone or B and C together
B and C together
Either B or C
Only C
None
Solution:

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.

Any one of them
Only C
Only C and either A or B
Any two of them
Only either A or B
Solution:

6 M + 9W = 1/14 .... (i)
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.

Only B
A and B together
Either B alone or A and C together
None
A and C together
Solution:

A: 2(l + b) = 80
∴ 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 istimes 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?

38.5 sq. cm
156 sq. cm
35.8 sq. cm
616 sq. cm
None of these
Solution:

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?

40 years
32 years
48 years
36 years
26 years
Solution:

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.

100 km/hr
25 km/hr
50 km/hr
Cannot be determined
None of these
Solution:

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?

19 years
15 years
17 years
12 years
18 years
Solution:

P + R + 2Q = 59 ……….(i)
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

Rs. 100
Rs. 80
Rs. 10
Rs. 400
Rs. 180
Solution:

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