• ( 1 ) If a dozen mirrors are fallen down. The ratio between broken and unbroken mirrors is:

    • 1) 2:03
    • 2) 3:04
    • 3) 5:07
    • 4) 5:04
    • Discussion in forum
      Answer : 3) 5:07
      Solution : Dozen means = 12
      12/(2+3) = 12/5 ==> wrong
      12/(3+4) = 12/7 ==> wrong
      12/(5+7) = 12/12 = 1 ==> Right (Answer = 5:7)








      discussion


      Answer : 3) 5:07

    • ( 2 ) A bag contains 5p,10p and Rs20p coins in the ratio of 1:2:4 respectively. If the total money in the bag is Rs.84/-. Find the number of 10p coins in that bag?

    • 1) 160 coins
    • 2) 20 coins
    • 3) 128 coins
    • 4) None of these
    • Discussion in forum
      Answer : 1) 160 coins
      Solution : 5paisa : 10paisa : 20paisa = 1 : 2 : 4 ---> coins ratio
      = 5 : 20 : 80 ----> money ratio
      5 paisa * 80 coins = Rs.4/-
      10 paisa * 160 coins = Rs.16/-
      Then 10 paisa coins in that bag = 160 cions








      discussion


      Answer : 1) 160 coins

    • ( 3 ) The least whole number which when subtracted from both the terms of the ratio 6 : 7 to give a ratio less than 16 : 21, is.

    • 1) 2
    • 2) 4
    • 3) 3
    • 4) 6
    • Discussion in forum
      Answer : 3) 3
      Solution : Let x is subtracted. Then, ((6 - x)/(7 - x)) < 16 / 21
      21(6 - x) < 16(7 - x)
      => 5x > 14 = x > 2.8.
      Least such number is 3.








      discussion


      Answer : 3) 3

    • ( 4 ) An alloy is to contain copper and zinc in the ratio 9 :4. The zinc required (in kg) to be melted with 24 kg of copper, is 7

    • 1) 10 and 2/3
    • 2) 9 and 2/3
    • 3) 10 and 1/3
    • 4) 9
    • Discussion in forum
      Answer : 3) 10 and 1/3
      Solution : 9 : 4 : 24 : x
      => 9x = 4 * 24
      => x = (4 * 24)/9 = 32/3 Kg. hence 0 and 1/3








      discussion


      Answer : 3) 10 and 1/3

    • ( 5 ) An outgoing batch of students wants to gift a PA system worth Rs 4,200 to their school. If the teachers, offer to pay 50% more than the students and an external benefactor gives three times the teacher's contribution, then how much should the teachers donate?

    • 1) Rs 600
    • 2) Rs 840
    • 3) Rs 900
    • 4) Rs 1,200
    • Discussion in forum
      Answer : 3) Rs 900
      Solution : he ratio of the share students : teacher: benefactor = 1 : 1.5 : 4.5.
      So the proportion to teacher's share = 1.5/7
      Hence, the teachers would donate = (1.5/7) * 4200 = Rs 900.








      discussion


      Answer : 3) Rs 900

    • ( 6 ) P,Q and R enter into a partnership with capitals in the ratio 3:2:1. After 4 months, P leaves the business and after 4 more months Q also leaves the business and R continues till the end of the year. If R takes 10% of the profit for managing the business, then what part of the profit does R get?

    • 1) 37%
    • 2) 36%
    • 3) 27%
    • 4) 30%
    • Discussion in forum
      Answer : 1) 37%
      Solution : Let Rs 100 be the profit.
      Rs 90 is to be divided in the ratio 12 : 16 : 12. i.e 3 : 4 : 3
      R gets (3/10)*90=27 and 10 for managing.
      => Thus, 27 + 10 = 37%.








      discussion


      Answer : 1) 37%

    • ( 7 ) If Rs.1440/- are divided among A,B and C so that A receives 1/3rd as much as B and B receives 1/4thas much as C. The amount B received is:

    • 1) Rs.90/-
    • 2) Rs.270/-
    • 3) Rs.1080/-
    • 4) Rs.27/-
    • Discussion in forum
      Answer : 2) Rs.270/-
      Solution : A : B : C = 1 : 3 : 12
      Total parts = 16
      B's share is = 3 parts
      16 -----> 1440
      1 -----> 90
      3 -----> 270 (B's share is 270)








      discussion


      Answer : 2) Rs.270/-

    • ( 8 ) Two number are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the ratio 12 : 23. The smaller number is:

    • 1) 27
    • 2) 33
    • 3) 49
    • 4) 55
    • Discussion in forum
      Answer : 2) 33
      Solution : Let the numbers be 3x and 5x.
      Then, 3x - 9/5x - 9 = 12/23
      23(3x - 9) = 12(5x - 9)
      9x = 99
      x = 11.
      The smaller number = (3 * 11) = 33.








      discussion


      Answer : 2) 33

    • ( 9 ) An amount of money is to be distributed among F, Q and R in the ratio 3 : 5 : 7. If Qs share is Rs. 1500, what is the difference between Ps and Rs shares? .

    • 1) Rs. 1200
    • 2) Rs. 1600
    • 3) Rs, 1500
    • 4) Rs. 1900
    • Discussion in forum
      Answer : 1) Rs. 1200
      Solution : Let P = 3x, Q = 5x and R = 7x.
      Then, 5x = 1500 => x = 300.
      P=900,
      Q=1500 and
      R = 2100.
      Hence, (R - p) = (2100 - 900) = 1200








      discussion


      Answer : 1) Rs. 1200

    • ( 10 ) If 40% of a number is equal to two-third of another number, what is the ratio of first number to the second number?

    • 1) 2:05
    • 2) 3:07
    • 3) 5:03
    • 4) 7:03
    • Discussion in forum
      Answer : 3) 5:03
      Solution : Let 40% of A = 2/3B
      Then, 40A/100 = 2B/3
      => 2A/5 = 2B/3
      => A : B = 5 : 3.








      discussion


      Answer : 3) 5:03





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