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Data Interpretation


( 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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%

Show Answer Report Discussion in forumAnswer : 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/

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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

Show Answer Report Discussion in forumAnswer : 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 twothird 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

Show Answer Report Discussion in forumAnswer : 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
