 Directions (1-5): The line graph shows the data of five sellers selling an item (in units) on Monday and Tuesday. Q1. The no. of item sold by A and C together is how much more or less then items sold by B and D together on both days?

(a) 250

(b) 280

(c) 300

(d) 320

(e) 350

Q2. What is the average no. of items sold by all five sellers on Monday?

(a) 298

(b) 305

(c) 280

(d) 300

(e) 315

Q3. Items sold by B and C on Tuesday together is what % more than same sellers on Monday together?

(a) 25%

(b) 30%

(c) 20%

(d) 15%

(e) 24%

Q4. Find the difference between items sold by B, D, E on Monday together items sold by B and E on Tuesday together

(a) 150

(b) 180

(c) 160

(d) 120

(e) 200

Q5. Item sold On Monday by C and E together is approximately what percentage of total items sold by A and B together on Tuesday?

(a) 71%

(b) 80%

(c) 55%

(d) 85%

(e) 65%

S1. Ans. (b)

Sol. Item sold by A and C = 550 + 570 = 1120

Item sold by B and D = 750 + 650 = 1400

∴ diff. =1400 – 1120 = 280

S2. Ans. (a)

Sol. Average = (300 + 350 + 250 + 380 + 210) / 5 = 1490 / 5 = 298

S3. Ans. (c)

Sol. Item sold by B and C on Monday = 350 + 250 = 600

Item sold by B and C on Tuesday = 400 + 320 = 720

∴ % increase = 120 × (100 / 600) = 20%

S4. Ans. (d)

Sol. Items sold on Monday by B, D and E = 350 + 380 + 210 = 940

Item sold on Tuesday by B and E = 400 + 420 = 820

∴ Diff = 940 – 820 = 120

S5. Ans. (a)

Sol. Item sold by C and E on Monday = 250 + 210 = 460

Item sold by A and B together on Tuesday= 400 + 250 = 650

∴ ? = 460 × (100 / 650)

71% (approx)

Directions (6-10): Solve the given quadratic equations and mark the correct option based on your answer—

(a) x > y

(b) x < y

(c) x ≥ y

(d) x ≤ y

(e) x = y or there is no relationship

Q6. (i) x² = 81                            (ii) y² – 18y + 81 = 0

Q7. (i) 4x² – 24x + 32 = 0          (ii) y² – 8y + 15 = 0

Q8. (i) x² – 21x + 108 = 0          (ii) y² – 17y + 72 = 0

Q9. (i) x² – 11x + 30 = 0            (ii) y² – 15y + 56 = 0

Q10. (i) x³ = 512                       (ii) y² = 64

S6. Ans. (d)

Sol. x² = 81

x = ± 9

y² – 18y + 81 = 0

(y – 9)² = 0

∴ y = 9, 9

x ≤ y

S7. Ans. (e)

Sol. 4x² – 24x + 30 = 0

4x² – 16x – 8x + 32 = 0

4x (x – 4) –8 (x–4) = 0

x = 4, 2

y² – 8y + 15 = 0

y² – 5y – 3y + 15 = 0

y (y – 5)–3 (y – 5) = 0

∴ y = 5, 3

No relation exists

S8. Ans. (c)

Sol. x² – 21x + 108 = 0

x² – 9x – 12x + 108 = 0

x(x – 9) – 12 (x – 9) = 0

x = 9, 12

y² – 17y + 72 = 0

∴ y² – 8y – 9y + 72 = 0

y (y – 8) – 9 (y – 8) = 0

∴ y = 8, 9

x ≥ y

S9. Ans. (b)

Sol. x² – 11x + 30 = 0

x² – 6x – 5x + 30 = 0

∴ x(x – 6) – 5(x – 6) = 0

x = 6, 5

y² – 15y + 56 = 0

y² – 7y – 8y + 56 = 0

y (y – 7) – 8 (y – 7) = 0

∴ y = 7, 8

x < y

S10. Ans. (c)

Sol. x³ = 512

x = 3√512 = 8

y² = 64

y = √64 = ± 8

x ≥ y

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August 12, 2019

Latest Online Reasoning Quiz For IBPS PO , SBI , SSC : Part – 61 