“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-50

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-50

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

  1. √((36 ÷3)×(? ÷3)) = 7.2 ÷ 6 + 0.3
  1. 0.5625
  2. 0.3136
  3. 0.2025
  4. 0.4225
  5. None of these
  1. (16 × 10-7)2 ÷ (32 × 23 × 10-3) = 10?
  1. -8
  2. -6
  3. -11
  4. -12
  5. None of these
  1. 2197 ÷ 13 ÷ 2 × 18 + 48 % of 550 + 62 % of 1700 = x
  1. 3765
  2. 2839
  3. 4721
  4. 1967
  5. None of these
  1. (1.6)?-3 = (2.56)5 ÷ (4096 ÷ 1000)3 × (0.8 × 2)7
  1. 8
  2. 13
  3. 6
  4. 11
  5. None of these
  1. 75 % of (2/17) of (51/147) of (2/5) of 38465 = ?
  1. 345
  2. 589
  3. 251
  4. 640
  5. None of these

Directions (Q. 6 – 10): What value should come in place of (?) in the following Series?

  1. 16, 79, 394, 1967, ?
  1. 3478
  2. 4902
  3. 6348
  4. 9831
  5. None of these
  1. 221, 238, 204, 255, 187, ?
  1. 302
  2. 272
  3. 386
  4. 416
  5. None of these
  1. 76, 39, 41, 85, 344, ?
  1. 1234
  2. 3789
  3. 2757
  4. 1895
  5. None of these
  1. 27, 36, 100, 125, 341, 390, ?
  1. 1276
  2. 756
  3. 567
  4. 869
  5. None of these 
  1. 196, 53, 216, 58, 236, ? , 256
  1. 72
  2. 84
  3. 63
  4. 95
  5. None of these

 

  1. There are three numbers in the ratio 4:7:12. The sum of the largest and the smallest numbers is 144 more than the other number. What is the largest number?
  1. 144
  2. 192
  3. 216
  4. 415
  5. None of these
  1. The average age of five members in a family is 30 years. If the present age of youngest member in the family is 10 years, what was the average age of the family at the time of birth of the youngest member?
  1. 25
  2. 40
  3. 12
  4. 30
  5. None of these
  1. The circumference of a circle is twice the perimeter of a rectangle. The area of the circle is 5544 sq. m. What is the area of the rectangle if the breadth of the rectangle is 10m?
  1. 200
  2. 400
  3. 120
  4. 560
  5. None of these
  1. Raghu’s monthly income is (5/4) times that of Raju’s income, where as his monthly expenses are twice that of Raju’s expenses. If each of them saves Rs 12000, then what is the annual income of Raju?
  1. Rs 144000
  2. Rs 192000
  3. Rs 240000
  4. Cannot be determined
  5. None of these
  1. Train A crosses a stationary train B of equal length in 40 seconds, a bridge of length 1320 meters in 100 seconds travelling at the same speed. Find the length of the train A.
  1. 250
  2. 218
  3. 330
  4. 460
  5. None of these

 

Directions (Q. 16 – 20): Study the following information and answer the questions given below:

Number of units Manufactured (M) and Sold (S) (in hundreds) by five different companies over the years

Company A B C D E
Year M S M S M S M S M S
2006 2.8 1.3 3.3 2.2 2.6 1.7 3.0 2.2 1.9 1.4
2007 3.2 2.0 2.4 1.6 2.2 1.5 2.5 1.9 2.0 1.7
2008 1.9 0.9 2.9 1.6 2.1 1.0 2.3 1.5 1.6 1.1
2009 1.0 0.4 2.4 1.3 2.8 1.4 2.1 1.2 3.2 2.5
2010 2.5 1.5 2.3 1.2 2.6 2.1 1.8 1.1 3.1 2.6

 

  1. What is the total number of units manufactured by Company C overall the years together?
  1. 1420
  2. 1030
  3. 1230
  4. 1320
  5. None of these
  1. What is the approximate percentage increase in the number of units sold by Company E in the year 2007 while comparing with the previous year?
  1. 17
  2. 36
  3. 27
  4. 32
  5. 21
  1. The number of units sold by Company D in the year 2006 is what percent of the number of units manufactured by it in that year?
  1. 52.63
  2. 61.57
  3. 85.15
  4. 73.33
  5. None of these
  1. What is the respective ratio of total number of units manufactured by Company A and B together in the year 2009 to those sold by them in the same year?
  1. 5 : 2
  2. 3 : 1
  3. 7 : 5
  4. 3 : 2
  5. None of these
  1. What is the average number of units sold by Company D over all the years together?
  1. 166
  2. 158
  3. 136
  4. 147
  5. None of these

Answers:

Directions (Q. 1-5):

  1. Answer a

√((36 ÷3)×(x ÷3)) = 7.2 ÷ 6 + 0.3

√(4x) = 1.2+0.3

2√x = 1.5

√x = 1.5/2 = 0.75

X = 0.5625

  1. Answer c

(16*16*10-14)  ÷ (32 × 23 × 10-3) = 10x

10-14+3 = 10x

X = -11

  1. Answer b

2197 ÷ 13 ÷ 2 × 18 + 48 % of 550 + 62 % of 1700 = x

1521 + (48/100)*550 + (62/100)*1700 = x

X = 1521 + 264 + 1054

X = 2839

  1. Answer d

(1.6)x-3 = (1.6)10 ÷ (4.096)3 × (1.6)7

(1.6)x-3 = (1.6)10 ÷ (1.6)9 × (1.6)7

(1.6)x-3 = 1.610-9+7

(1.6)x-3 = 1.68

x-3 = 8

x = 11

  1. Answer e

(75/100)* (2/17) * (51/147) * (2/5) * 38465 = x

X = 471

Directions (Q. 6 – 10):

  1. Answer d

The pattern is, *5 – 1, *5 -2, *5 -3, *5 -4,..

The answer is, 9831

  1. Answer b

The pattern is, +17, -34, +51, -68, +85,..

The answer is, 272

  1. Answer c

The pattern is, *0.5 + 1, *1 + 2, *2 + 3, *4 + 4, *8 + 5,..

The answer is, 2757

  1. Answer e

The pattern is, +32, +43, +52, +63, +72, +83,..

The answer is, 902

  1. Answer c

The pattern is, ÷ 4 + 4, × 4 + 4(alternatively)

The answer is, 63

 

  1. Answer b

Let the numbers be 4 x, 7x and 12 x

4x+12x-7x= 144

x = 16

The largest number is 12 * 16= 192

  1. Answer a

Total age of all the members in the family= 30*5= 150 years

Total age of the four members at the time of birth of youngest= 150- 10*5= 100 years.

Required average of family= 100/4= 25 years.

  1. Answer d

Area of a circle= πr2

5544= 22r2/7

5544*7/22= r2

r2= 1764

r= 42m

Circumference = 2*22/7 * 42= 264 sq. m

Perimeter of the rectangle= 132 sq. m

132= 2(l + 10)

132= 2l+20

L= 112/2

L= 56

Area of the rectangle = 56*10= 560 sq. m

  1. Answer b

Raghu’s monthly income is (5/4) times that of Raju’s income,

= > Income of Raghu and Raju =5 : 4(5x, 4x)

Expense ratio = 2 : 1

Savings are, 12000 and 12000

(5x-12000) / (4x-12000) = 2/1

5x- 12000 = 8x – 24000

3x = 12000

X = 4000

Raju’s monthly income = 4x = 4*4000  = 16000

Annual income = 16000*12 = Rs. 192000

  1. Answer c

Let the length of the train A be x and speed be y

40= (x + x)/y

40y= 2x

x= 20y

Now,

100= (1320+x)/y

100y= 1320 + x

Putting the value of x

100y= 1320+ 20y

80y= 1320

Speed = y= 16.5 m/s

Train length = x = 20y = 20*16.5

= > 330 m

 

Directions (Q. 16 – 20):

  1. Answer c

Total number of units manufactured by Company C

= 2.6 + 2.2 + 2.1 + 2.8 + 2.6 = 12.3 = 12.3 x 100

= 1230

  1. Answer e

% increase = (1.7 – 1.4)/1.4 x 100 = 0.3/1.4 x 100 = 21 (approx.)

  1. Answer d

Required percentage = 2.2/3 x 100 = 73.33

  1. Answer e

Required Ratio = 3.4 : 1.7 = 2 : 1

  1. Answer b

Total number of units sold by Company D over all the years

= 2.2 + 1.9 + 1.5 + 1.2 + 1.1 = 7.9

Required Average = (7.9 x 100)/5 = 790/5 = 158

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