Daily Practice Questions Questions for CAT with Answers PDF

Let X = Students studying in standard III of schools A and B together = 48 + 58 = 106
Let Y = Students studying in standard VI of schools C and D together = 54 + 50 = 104
Ratio = X : Y = 106 : 104 = 53 : 52

The number of students studying in standard IV from school E = 55
The number of students studying in standard IV from school D = 40
Required percent = (55/40) × 100 = 137.5%

Total number of students studying in standard I in all the schools
= 42 + 50 + 40 + 45 + 48 + 52 = 277
Average number of students studying in standard I = 277/6 = 46.17
= 46 (approximately)

Rice production in 1989 = 1605 thousand tonnes
Wheat production in 1989 = 895 thousand tonnes
Ratio = 1605/895 = 321/179

Between 1990-92, the fastest rate of increase in production of rice was in the southern region.
Rate of increase = ((198 - 185)/185) x 100 = 7.027%
In all the other regions, rate of increase was less than 7.027%.

Rate of increase of wheat production = ((940 - 864)/864) x 100 = 8.8%

Per capita production of rice and wheat in 1992 =   = 3.0 kg

Kavita ranked first.

Number of articles (in thousands) sold by company E in the year 2003 = 17.7
Number of articles (in thousands) manufactured by company E in the year 2003 = 26.2
Required percentage = (17.7/26.2) × 100 = 67.56%

Since sales are 104% of production for Kelvinator, the excess 4% must be the stock at the beginning of 1998-99.
Hence, least stock = (4/100) × (340) = 13.6 thousands = 13.6 × 1000 = 13,600

Ratio of sales to installed capacity for Godrej = 
Ratio of sales to installed capacity for Kelvinator = 
Ratio of sales to installed capacity for Voltas = 
Ratio of sales to installed capacity for Videocon = 
The sales-to-installed capacity ratio is highest for Godrej.

The total production = 980
Total sales = [451 × 0.88 + 340 × 1.04 + 10 × 0.6 + 143 × 0.92 + 36 × 0.77 + 0 × 0  ] = 396.88 + 353.60 + 6.00 + 131.56 + 27.72 = 915.76
Total sales as a percentage of production in 1998-99 for all companies together = (915.76 x 100)/980 = 93.44

Sum of marks obtained by all the students in Science = 65 + 62 + 55 + 70 + 49 + 44 = 345
Average marks obtained by all the students combined in Science = 345/6 = 57.5

Charu got 64 marks in Hindi out of 100.
Anupama got 85 marks out of 100.
Required Percentage = (64/85) x 100 = 75.29%.

Total marks obtained by Deepak in all subjects = 65 + 62 + 69 + 81 + 70 + 40 + 50 = 437
Maximum marks = 100 + 100 + 100 + 100 + 75 + 75 + 50 = 600
Deepak got 437 marks out of 600 and his percentage is (437/600) x 100 = 72.83%.

Anupama's total marks = 85 + 95 + 87 + 87 + 65 + 35 + 71 = 525
Bhaskar's total marks = 72 + 97 + 35 + 77 + 62 + 41 + 64 = 448
Charu's total marks = 64 + 78 + 74 + 63 + 55 + 25 + 53 = 412
Deepak's total marks = 65 + 62 + 69 + 81 + 70 + 40 + 50 = 437
Garima's total marks = 92 + 82 + 81 + 79 + 49 + 30 + 61 = 474
Vishal's total marks = 55 + 70 + 65 + 69 + 44 + 28 + 30 = 361
Hence, Anupama scored the highest marks in all the subjects combined.

It is clear from the table that there was a decrease in production of cupboards in 1997-98 as compared to the previous year.

Average production of cabinets = (6600 + 4500 + 7500 + 8600 + 9100)/5 = 7260
Hence, option 1 is the correct answer.

Total number of workers working in factory B = 4250 + 3280 + 5200 + 4000 = 16,730
Average number of workers working in factory B = 16,730/4 = 4182.5
Total number of workers working in factory F = 6000 + 4100 + 4220 + 3125 = 17,445
Average number of workers working in factory F = 17445/4 = 4361.25
Difference = 4361.25 - 4182.5 = 178.75

Total number of workers working in all factories in the shift 6:30 A.M - 12:30 P.M = 6500 + 4250 + 5040 + 7135 + 4215 + 6000 = 33,140
Total number of workers working in all factories in the shift 12:30 A.M - 6:30 A.M = 4045 + 4000 + 4200 + 5125 + 4805 + 3125 = 25,300
Ratio = 33,140 : 25,300 = 1657 : 1265