Quant Test for SBI PO Prelims Exam Set – 12

Banya
  1. Sum of A’s and B’s age 6 years ago is 88. A’s age 18 yrs ago is equal to B’s age 6 years ago. Find the age of A two year hence?
    51 years
    62 years
    58 years
    44 years
    50 years
    Option C
    A+B = 88+12 = 100 –(1)
    A-18 = B-6 A-B = 12 –(2)
    On solving these two equations, A = 56
    After 2 years = A = 58 years

     

  2. Train A of length 120 m can cross a platform of length 240 m in 18 second the ratio of speed of train A and Train B is 4 : 5. Then find the length of Train B if train B can cross a pole in 12 seconds.
    700 m
    600 m
    500 m
    300 m
    400 m
    Option D
    Let speed of train A be S
    S × 18 = 360
    S = 20 m/s
    A : B = 4 : 5
    Speed of B = 25 m/s
    Length of train B = 25 × 12 = 300 m

     

  3. Sum of volume of cylinder (S) and volume off cone (C) is 2190𝝅 cm² & height of both cylinder and cone is same i.e, 10 cm. If radius of cone is 15 cm then find the ratio of radius of S to radius of C?
    4:5
    2:3
    5:6
    1:2
    3:1
    Option A
    Pi*r*r*h + 1/3*pi*R*R*h = 2190*pi
    =>r/R = 4:5

     

  4. In an alloy, zinc and copper are in the ratio 1 : 2. In the second alloy the same elements are in the ratio 2 : 3. In what ratio should these two alloys be mixed to form a new alloy in which the two elements are in ratio 5 : 8?
    9/13
    3/10
    2/7
    5/8
    4/11
    Option B
    Zinc = 5/13-1/3 = 1/65
    Copper = 2/5-5/13 = 2/39
    Required ratio = (1/ 65)/(2/39) = 3/10

     

  5. In a box there are 6 blue ball, x red balls & 10 green balls. Probability of choosing one red ball from the given box is 𝟏/𝟑 . Then find the sum of red and blue balls in the box?
    14
    16
    10
    18
    20117.5, 117, 119, 111, 143, ?
    Option A
    x /(x + 16) = 1/3
    =>3x = x + 16
    =>x = 8
    sum of red & blue balls = 8 + 6 = 14

     

    6. Directions(6-10): Find the missing term ‘?’ of the following series.

  6. 117.5, 117, 119, 111, 143, ?
    20
    10
    25
    15
    30
    Option D
    -0.5
    +2
    -8
    +32
    -128
    ? = 15

     

  7. 3, 11, 31, 69, 131, ?
    200
    223
    274
    250
    291
    Option B
    1^3+2
    2^3+3
    3^3+4
    4^3+5
    5^3+6
    6^3+7
    ? = 223

     

  8. 12, 25, 48, 99, 194, 393, ?
    666
    745
    780
    720
    851
    Option C
    *2+1
    *2-2
    *2+3
    *2-4
    *2+5
    *2-6
    ? = 780

     

  9. 1, 13, 83, 419, 1679, ?
    6315
    5522
    6335
    4102
    5039
    Option E
    *7+6
    *6+5
    *5+4
    *4+3
    *3+2
    ? = 5039

     

  10. 15, 12, 31, 148, ?
    1442
    1330
    1210
    1027
    1120
    Option D
    *1-3
    *3-5
    *5-7
    *7-9
    ? = 1027

     


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