Mixed Quantitative Aptitude Questions Set 148

Directions(1-5): Find the wrong term of the following series.

1. 3, 4, 9, 28, 113, 565, 3397
   9
   113
   565
   28
   4
   Option C
   *1+1
   *2+1
   *3+1
   *4+1
   *5+1
   *6+1
   566 in place of 565.
   
   
    



2. 4, 6, 12, 30, 60, 315, 1260
   12
   60
   6
   315
   1260
   Option B
   *1.5,*2,*2.5,*3,*3.5,*4
   90 in place of 60.
   
   
    



3. 1, 730, 975, 1054, 1081, 1090, 1093
   1054
   730
   1081
   1090
   975
   Option E
   
   
    



4. 9.2, 10.6, 7.6, 12.4, 6, 14, 4.4
   11.2
   12.5
   13.9
   10.6
   14.6
   Option D
   +1.6,-3.2,+4.8,-6.4,+8,-9.6
   10.8 in place of 10.6.
   
   
    



5. 200, 196, 192, 180, 160, 130, 88
   196
   200
   180
   130
   160
   Option A
   Double difference
   198 in place of 196.
   
   
    



6. A man invested Rs. 8000 in a scheme giving 20% p.a. compound interest for two year. The interest received from this scheme is 400% more than the interest on some other amount from another scheme giving 8% S.I. for 4 year. Find the total amount invested in both schemes.
   11,000
   10,200
   12,500
   15,200
   12,120
   Option B
   CI earned in 2 years = 8000[(1+20/100)^3 - 1] – 8000
   = 3520
   Let amount invested in another scheme is Rs.P.
   3520 = 500% of P*8*4/100
   =>P – [3520*100]/[32*5]
   =>P = 2200
   Total investment = 8000+2200 = 10,200
   
   
    



7. Radius of a cylinder is equal to the side of an equilateral triangle having area cm² and height of the cylinder is equal to the perimeter of the triangle. Then find the volume of cylinder.
   1782*pi
   1126*pi
   1536*pi
   1440*pi
   1661*pi
   Option C
   Radius of cylinder = side of equilateral Δ
   (3)^1/2/4 a^2 = 16(3)^1/2
   a² = 64
   =>a = 8 cm
   And, height of cylinder = 3 × 8 = 24 cm
   Volume of cylinder = πr²h
   = π × 8² × 24
   = 1536 π cm³
   
   
    



8. Sum of present ages of A and B is 41. Age of A 2 year hence is equal to age of C, 1 year ago. Age of A, 4 year hence is equal to age of B 1year ago and ratio of present age of A and D is 3 : 4. Find the difference of age of C and D.
   2
   5
   7
   4
   3
   Option E
   A + B = 41 …(i)
   C -1 = A + 2
   C = A + 3
   And
   A + 4 = B - 1
   ⇒ B = A + 5 …(ii)
   From (i) + (ii)
   A = 18 years
   B = 18 + 5 = 23 years
   C = 18 + 3 = 21 years
   D = = 24 years
   Required difference = 24 – 21 = 3 years
   
   
    



9. The surface area of a spherical part of a hemispherical bowl with a flat circular detachable cover, excluding the cover, is 616 sq cm. The area of the cover is 38.5 sq cm. What is the volume of the bowl?
   2636.12
   2302.15
   1928.61
   2172.12
   2032.69
   Option E
   2*pi*r*r = 616
   =>r^2 = 616/2*7/22
   =>r^2 = 98
   Volume = 2/3 *pi*98*7(2)^1/2 = 2032.69 cm^3
   
   
    



10. In one litre of mixture of alcohol and water, 30% is water. The amount of alcohol that must be added to the mixture, so that the part of water in the mixture becomes 15%, is:
    1452
    1000
    1100
    1234
    1340
    Option B
    300/(1000+x)*100 = 15
    =>x = 1000 ml