#### 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
• Discussion in forum
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

• ( 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
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

• ( 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
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

• ( 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
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

• ( 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
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

• ( 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
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

• ( 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
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

• ( 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
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

• ( 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
Solution : Let 40% of A = 2/3B
Then, 40A/100 = 2B/3
=> 2A/5 = 2B/3
=> A : B = 5 : 3.

discussion