# SBI Clerk Prelims 2020 Quantitative Aptitude Questions (Day-15)

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Simplification

Directions (Q. 1 – 5): What value should come in place of question mark (?) in the following questions?

1) √16384 ÷ 4 × 16 = ? – 18312 ÷ 12 + 142

a) 1678

b) 1842

c) 1426

d) 2154

e) None of these

2) (7/9) of 4068 + 77 % of 1200 = (?)2 – (128 ÷ 16)

a) 64

b) 62

c) 58

d) 56

e) None of these

3) (8 × 8)5 ÷ (512 ÷ 8)2 × (8 × 64)3 = (8)? + 5

a) 12

b) 8

c) 6

d) 10

e) None of these

4) ? % of (75 × 4 – 150) = 420 + 752

a) 4280

b) 4520

c) 4030

d) 5060

e) None of these

5) (7/84) of (12/156) of 4680 = 45 – ?

a) 15

b) 20

c) 25

d) 30

e) None of these

Data Interpretation

Directions (Q. 6 – 10): Study the following information carefully and answer the given questions?

The following table shows the total number of people (Male + Female) went for 5 different hotels and ate some veg and non-veg items in a certain week. The ratio of veg to that of non-veg items also given here. 6) Find the difference between the total number of male eating veg to that of total number of female eating non-veg from hotel A, if the percentage of total number of female eating veg and that of male eating non-veg from hotel A is 52 % and 45 %?

a) 40

b) 60

c) 80

d) 20

e) None of these

7) Find the ratio between the total number of people eating Veg from hotel B and D together to that of total number of people eating non-veg from hotel C and E together?

a) 23 : 29

b) 19 : 25

c) 34 : 47

d) 11 : 18

e) None of these

8) Find the total number of people eating non-veg from hotel B, C and D together?

a) 3800

b) 4300

c) 4700

d) 3500

e) None of these

9) Total number of people eating non-veg from hotel E is what percentage of total number of people eating veg from hotel A?

a) 125 %

b) 140 %

c) 160 %

d) 175 %

e) None of these

10) Find the difference between the average number of people went for hotel A and C together to that of the average number of people went for hotel B and D together?

a) 600

b) 300

c) 750

d) 450

e) None of these

Directions (1-5) :

√16384 ÷ 4 × 16 = x – 18312 ÷ 12 + 142

(128/4) * 16 = x – (18312 / 12) + 196

512 = x – 1526 + 196

x = 512 + 1526 – 196 = 1842

(7/9) * 4068 + (77/100) * 1200 = x2 – (128/16)

3164 + 924 + 8 = x2

x2 = 4096

x = 64

(82)5 ÷ (512/8)2 × (8 × 82)3 = (8)x + 5

810 ÷ (64)2 × (83)3 = (8)x + 5

810 ÷ 84 × 89 = (8)x + 5

810 – 4 + 9 = 8x + 5

815 = 8x + 5

15 = x + 5

x = 10

x % of (75 × 4 – 150) = 420 + 752

(x/100) * (300 – 150) = 420 + 5625

(x/100) * 150 = 6045

3x/2 = 6045

x = 6045 * (2/3) = 4030

(7/84) * (12/156) * 4680 = 45 – x

30 = 45 – x

x = 45 – 30 = 15

Directions (6-10) :

The total number of male eating veg from hotel A

= > 1800 * (5/9) * (48/100) = 480

The total number of female eating non-veg from hotel A

= > 1800 * (4/9) * (55/100) = 440

Required difference = 480 – 440 = 40

The total number of people eating Veg from hotel B and D together

= > 2500 * (2/5) + 2000 * (3/5)

= > 1000 + 1200 = 2200

The total number of people eating non-veg from hotel C and E together

= > 3600 * (5/9) + 2800 * (4/7)

= > 2000 + 1600 = 3600

Required ratio = 2200 : 3600 = 11 : 18

The total number of people eating non-veg from hotel B, C and D together

= > [2500 * (3/5) + 3600 * (5/9) + 2000 * (2/5)]

= > [1500 + 2000 + 800] = 4300

Total number of people eating non-veg from hotel E

= > 2800 * (4/7) = 1600

Total number of people eating Veg from hotel A

= > 1800 * (5/9) = 1000

Required % = (1600 / 1000) * 100 = 160 %

The average number of people went for hotel A and C together

= > (1800 + 3600) / 2 = 2700

The average number of people went for hotel B and D together

= > (2500 + 2000) / 2 = 2250

Required difference = 2700 – 2250 = 450

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