# SBI Clerk Mains Quantitative Aptitude (Day-68)

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Simplification

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

1) 902 * 28/11 â€“ 96 * Â³âˆš512/3 =?

A) 1944

B) 2040

C) 2140

D) 2256

E) None of these

2) âˆš729/âˆš? * 64 = âˆš256/52Â * 108

A) 525

B) 125

C) 625

D) 25

E) None of these

3) 8885.5 + 885.5 – 58.5 – 88.8 =? + 555.7

A) 9058

B) 9758

C) 9858

D) 9068

E) 9978

4) 8.33% of 5040 â€“ 16.66% of 2160 =?% of 1200

A) 60

B) 20

C) 5

D) 50

E) None of these

5) 5 (5/24) â€“ 8 (1/6) +4 (2/12) = 9 (7/12) – ?

A) 16 (1/8)

B) 16 (5/8)

C) 8 (3/8)

D) 8 (7/8)

E) None of these

Missing number series

Directions (6 â€“ 10): The questions below are based on the given series I. The series I satisfies a certain pattern. Follow the same pattern in series II and answer the questions.

6)

I).Â 72, 182, 272, 344, 400, 442

II).Â 175â€¦â€¦545

If 545 is the nthÂ term, find the value of n

A) 8

B) 4

C) 7

D) 5

E) 6

7)

I).Â 201, 180, 161, 145, 134, 130

II).Â 516, 500â€¦â€¦469

If 469 is the nthÂ term, what value should come in (n – 2)thÂ term

A) 474

B) 486

C) 475

D) 476

E) 485

8)

I).Â 165, 165, 660, 10560, 675840

II).Â 210â€¦â€¦.840

If 840 is the 3rdÂ term, what value should come in 5thÂ term?

A) 860360

B) 13540

C) 860260

D) 134440

E) 860160

9)Â

I).Â 10, 15, 40, 135, 560, 2825

II).Â 25, _, _, _, _, ?

What value should come at the place of question mark?

A) 4225

B) 4705

C) 4725

D) 4605

E) 4625

10)Â

I).Â 700, 635, 583, 544, 518, 505

II).Â 1196, _, _, _,? ,_.

What value should come at the place of question mark?

A) 1024

B) 1014

C) 1040

D) 1034

E) 1114

Directions (1-5) :

902 * 28/11 â€“ 96 * âˆ›512/3 =?

82 * 28 â€“ 32 * 8 =?

2296 â€“ 256 =?

2040 =?

âˆš729/âˆšx * 64 = âˆš256/52 *Â 108

27/âˆšx * 64 = 16/25 * 108

= > x = 625

8885.5 + 885.5 – 58.5 – 88.8 = x + 555.7

= > x = 9068

8.33% of 5040 â€“ 16.66% of 2160 = 12x

1/12 * 5040 – 1/6 * 2160 = 12x

420 â€“ 360 = 12x

60 = 12x

x = 5

x = – 5 (5/24) + 8 (1/6) – 4 (2/12) + 9 (7/12)

x = 8 ((-5 + 4 â€“ 4 + 14)/24)

x = 8 (9/24) = 8 (3/8)

Directions (6-10) :

Series I:

72 + (102Â + 10) = 182

182 + (92Â + 9) = 272

272 + (82Â + 8) = 344

344 + (72Â + 7) = 400

400 + (62Â + 6) = 442

Series II:

175 + (102Â + 10) = 285

285 + (92Â + 9) = 375

375 + (82Â + 8) = 447

447 + (72Â + 7) = 503

503 + (62Â + 6) = 545

175 is the 1stÂ term, so 545 is the 6thÂ term.

Series I:

Difference of difference is a prime number

201Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  180Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  161Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  145Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  134Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  130

21Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  19Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  16Â Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  11Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  4

2Â Â Â  Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  3Â Â Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  5Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  7

Series II:

516Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  500Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  486Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  475Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â  469

16Â Â Â Â Â  Â  Â Â Â Â Â Â Â Â  14Â Â Â Â Â  Â  Â Â Â Â Â Â Â Â Â Â Â Â  11Â Â  Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  Â 6

2Â Â  Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â Â  3Â Â Â Â Â Â Â Â Â  Â Â Â Â Â Â Â Â Â Â  5

516 is the 1stÂ term and 469 is the 5thÂ term

(n – 2) = (5 – 2) = 3rdÂ term = 486

Series I:

165 * 40Â =165

165 * 41Â =660

660 * 42Â =10560

10560 * 43Â =675840

Series II:

210 * 40Â = 210

210 * 41Â = 840

840 * 42Â = 13440

13440 * 43Â = 860160

Series I:

(10 + 5) * 1 = 15

(15 + 5) * 2 = 40

(40 + 5) * 3 = 135

(135 + 5) * 4 = 560

(560 + 5) * 5 = 2825

Series II:

(25 + 5) * 1 = 30

(30 + 5) * 2 = 70

(70 + 5) * 3 = 225

(225 + 5) * 4 = 920

(920 + 5) * 5 = 4625

Series I:

700 â€“ 65 = 635

635 â€“ 52 = 583

583 â€“ 39 = 544

544 â€“ 26 = 518

518 â€“ 13 = 505

Series II:

1196 â€“ 65 = 1131

1131 â€“ 52 = 1079

1079 â€“ 39 = 1040

1040 â€“ 26 = 1014

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