# Quantitative Aptitude For NIACL AO Prelims: 27th January 2019

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**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): Study the following graph and table carefully to answer the questions that follow.**

**Percentage distribution of students appeared in a competitive exam from seven states**

**Table shows percentage of students qualified from each state and ratio of male and female qualified students**

**Q1. What is the total number of candidates disqualified from state E, B and G together ?**

40570

44380

45480

44580

42867

Solution:

Total disqualified students = [35×12+39×18+52×7]×30 = 44580

**Q2. What is the total number of female candidates qualified from states F and C together ?**

16864

18864

18684

21848

14987

Solution:

Total qualified females = [8/19×57/100×19/100+8/15×54/100×6/100]×3 lakh

= 18864

= 18864

**Q3. Which of the following pair of states have equal number of qualified male candidates ?**

B and F

C and G

C and E

A and E

None of these

Solution:

Qualified males in A = 4/9×49/100×15/100×3 lakh = 9800

Qualified males in B = 6/10×61/100×18/100×3 lakh = 19764

Qualified males in C = 7/15×54/100×6/100×3 lakh = 4536

Qualified males in E = 7/13×65/100×12/100×3 lakh = 12600

Qualified males in F = 11/19×57/100×19/100×3 lakh = 18810

Qualified males in G = 9/20×48/100×7/100×3 lakh = 4536

Qualified males in B = 6/10×61/100×18/100×3 lakh = 19764

Qualified males in C = 7/15×54/100×6/100×3 lakh = 4536

Qualified males in E = 7/13×65/100×12/100×3 lakh = 12600

Qualified males in F = 11/19×57/100×19/100×3 lakh = 18810

Qualified males in G = 9/20×48/100×7/100×3 lakh = 4536

**Q4. Find the difference between qualified males from E and C together and qualified females from B and D together?**

8640

8460

8200

8160

8920

Solution:

Qualified male from E and C together = 12600 + 4536 = 17136

Qualified females from F and D together

= (4/10×61/100×18/100+2/5×45/100×23/100)×3,00,000 = 25596

∴ Required difference = 8460

Qualified females from F and D together

= (4/10×61/100×18/100+2/5×45/100×23/100)×3,00,000 = 25596

∴ Required difference = 8460

**Q5. Qualified females from A are what percent (approximate) of appeared candidates from B?**

21%

25%

27%

18%

23%

**Q6. 15 women can do a piece of work in 12 days while 16 men can do the same work in 10 days. All men and all women work alternately starting with all men, then find the time taken by them to complete the whole work?**

10⅓ days

10⅚ days

10⅔ days

12½ days

14 days

Solution:

Let efficiency of every man and every woman be m unit/day and w unit/day respectively 15×12×w=10×16×m

⇒m/w=9/8

Total work=15×12×8=1440 units

In 2 days, total work done=16×9+15×8=264 units

So, in 10 days work done will be=264×5=1320

units Remaining work will be done in = (1440-1320)/(16×9)=5/6

days Total days=10⅚ days

⇒m/w=9/8

Total work=15×12×8=1440 units

In 2 days, total work done=16×9+15×8=264 units

So, in 10 days work done will be=264×5=1320

units Remaining work will be done in = (1440-1320)/(16×9)=5/6

days Total days=10⅚ days

**Q7. A train can cross a platform, a tunnel and a pole in 36 sec, 24 sec and 12 sec respectively. Another train whose speed is 72km/hr can cross a pole in 8 sec. If speed of former train is four-fifth of the speed of the latter train, then find sum of length of platform and of tunnel.**

476 m

676 m

576 m

756 m

572 m

**Q8. Average marks of a student in five subjects is 80. If the average marks of first two subject is 84.5 and the average marks of last who subject is 83. Find the marks of third subject ?**

51

53

65

63

60

Solution:

Total marks → 80 × 5 ⇒ 400

Total marks of Ist two subject = 84.5 × 2 = 179

Total marks of last two subject = 83 × 2 = 166

Marks of third subject = 400 – (166 + 169) = 65

Total marks of Ist two subject = 84.5 × 2 = 179

Total marks of last two subject = 83 × 2 = 166

Marks of third subject = 400 – (166 + 169) = 65

**Q9. A man can row the boat in downstream from point P to R in 16 hours. But he return from point Q, which is exactly mid-point of P and R in upstream in 12 hours. Find the ratio of speed of stream to the speed of man in still water ?**

3 : 5

2 : 3

3 : 2

4 : 3

5 : 1

Solution:

Let speed of man in still water = x km/hr

Speed of current = y km/hr

Let PQ = QR = M km and PR = 2M km

ATQ—

x+y = 2M/16 …(i)

x–y = M/12 …(ii)

on solving (i) and (ii)

x/y = 5/1

Speed of current = y km/hr

Let PQ = QR = M km and PR = 2M km

ATQ—

x+y = 2M/16 …(i)

x–y = M/12 …(ii)

on solving (i) and (ii)

x/y = 5/1

**Q10. Vaibhav, while buying from wholesaler, gets 17 items at the cost of 10 items. If he allows two successive discounts of 5.88% and ‘a%’ and earns an overall profit of 20%. Then find value of ‘a’.**

20

25

35

30

15

Solution:

Let the cost price of 1 item be Rupee 1

and, he bought 17 items

then, cost price for him = 10 × 1 = Rs. 10

ATQ,

10×120/100 = 17×16/17×(100–a)/100

or, 12/16 = (100–a)/100

or, a = 25

and, he bought 17 items

then, cost price for him = 10 × 1 = Rs. 10

ATQ,

10×120/100 = 17×16/17×(100–a)/100

or, 12/16 = (100–a)/100

or, a = 25

**Directions (11-15): In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer**

**Q11. I. 49x² + 84x – 64 = 0**

**II. 25y² - 100y + 64 = 0**

if x>y

if x≥y

if x

if x ≤y

if x = y or no relation can be established between x and y

**Q12. I. 4x² - 33x + 63 = 0**

**II. 10y² - 113y + 318 = 0**

if x>y

if x≥y

if x

if x ≤y

if x = y or no relation can be established between x and y

**Q13. I. 3x + 4y = 24**

**II. 2x + 3y = 17**

if x>y

if x≥y

if x

if x ≤y

if x = y or no relation can be established between x and y

**Q14.**

if x>y

if x≥y

if x

if x ≤y

if x = y or no relation can be established between x and y

**Q15. I. x² – 15x + 56 = 0**

**II. y² – 13y + 42 = 0**

if x>y

if x≥y

if x

if x ≤y

if x = y or no relation can be established between x and y

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