The pie chart given below shows the degree distribution of total population of five different villages i.e. ‘A’, ‘B’, ‘C’, ‘D’ and ‘E’ out of total population of all the five villages together, in degree measures.
The bar graph given below shows the number of literate males and number of employed people in the respective village.
Note : Number of literate males in village ‘A’ is 512.
Number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than number of illiterate people in village ‘E’. Number of females in village ‘C’ is twice the number of illiterate people in village ‘B’. 62.5% of total population of village ‘C’ is illiterate. Number of females in village ‘A’ is same as number of males in village ‘C’. Number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’. Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’. In village ‘B’, 50% of total population are males while number of males in village ‘E’ is 160 more than number of females in it which is 32 less than number of illiterate people in village ‘A’. Number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
Number of illiterate females in village ‘A’ is how much percent of number of un-employed people in the same village.
- 36(2/3) %
- 33(1/3) %
- 31(1/9) %
- 62(2/9) %
The Correct Option is C
Solution and Explanation
| Village | Number of literate | Number of employed people |
| A | 512 | 648 |
| B | 408 | 576 |
| C | 360 | 624 |
| D | 288 | 480 |
| E | 312 | 384 |
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and
62.5% of total population of village ‘C’ is illiterate.
So, number of literate females in village ‘C’ = 1.05 × 480 = 504
Total number of literate people in village ‘C’ = 504 + 360 = 864
Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304
Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000
Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728
Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536
Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248
Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184
Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’.
So, number of un-employed people in village ‘E’ = 1184 – 384 = 800
So, number of males in village ‘C’ = 1.26 × 800 = 1008
Number of females in village ‘C’ = 2304 – 1008 = 1296
Number of illiterate males in village ‘C’ = 1008 – 360 = 648
Number of illiterate females in village ‘C’ = 1296 – 504 = 792
Since, number of females in village ‘A’ is same as number of males in village ‘C’.
So, number of females in village ‘A’ = 1008
Number of males in village ‘A’ = 1728 – 1008 = 720
Number of illiterate males in village ‘A’ = 720 – 512 = 208
Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of
females which is 32 less than number of illiterate people in village ‘A’.
So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768
And, number of males in village ‘E’ = (\(\frac{1(184 + 160)}{2}\)} = 672
Number of females in village ‘E’ = 1184 – 672 = 512
Number of illiterate people in village ‘A’ = 512 + 32 = 544
So, number of illiterate females in village ‘A’ = 544 – 208 = 336
And, number of literate females in village ‘A’ = 1008 – 336 = 672
Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’.
So, number of illiterate people in village ‘B’ = 1296/2 = 648
Number of illiterate males in village ‘B’ = 768 – 408 = 360
Number of illiterate females in village ‘B’ = 648 – 360 = 288
Number of literate females in village ‘B’ = 768 – 288 = 480
Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than
number of illiterate people in village ‘E’.
So, number of females in village ‘D’ = 720
Number of males in village ‘D’ = 1248 – 720 = 528
Number of illiterate males in village ‘D’ = 528 – 288 = 240
Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624
Number of illiterate females in village ‘D’ = 624 – 240 = 384
Number of literate females in village ‘D’ = 720 – 384 = 336
Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’.
Number of illiterate people in village ‘E’ = 720 – 160 = 560
Number of illiterate females in village ‘E’ = 512 – 312 = 200
Number of literate females in village ‘E’ = 512 – 200 = 312
| Number of males | Number of females | |||||||
| Village | Total population | Total | Literate | Illiterate | Total | Literate | Illiterate | Number of un-employed people |
| A | 1728 | 720 | 512 | 208 | 1008 | 672 | 336 | 1728-648=1080 |
| B | 1536 | 768 | 408 | 360 | 768 | 480 | 288 | 1536-576=960 |
| C | 2304 | 1008 | 360 | 648 | 1296 | 504 | 792 | 2304-624=1680 |
| D | 1248 | 528 | 288 | 240 | 720 | 336 | 384 | 1248-480=768 |
| E | 1184 | 672 | 312 | 360 | 512 | 312 | 200 | 1184-384=800 |
Desired percentage = (\(\frac{336}{1080}\)) × 100 = 31(\(\frac{1}{9}\)) %
Ratio of number of literate males and literate females, respectively in village ‘B’ is :
- 17 : 20
- 9 : 10
- 7 : 10
- 13 : 20
The Correct Option is A
Solution and Explanation
The correct option is (A) : 17: 20.
| Village | Number of literate | Number of employed people |
| A | 512 | 648 |
| B | 408 | 576 |
| C | 360 | 624 |
| D | 288 | 480 |
| E | 312 | 384 |
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and
62.5% of total population of village ‘C’ is illiterate.
So, number of literate females in village ‘C’ = 1.05 × 480 = 504
Total number of literate people in village ‘C’ = 504 + 360 = 864
Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304
Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000
Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728
Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536
Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248
Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184
Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’.
So, number of un-employed people in village ‘E’ = 1184 – 384 = 800
So, number of males in village ‘C’ = 1.26 × 800 = 1008
Number of females in village ‘C’ = 2304 – 1008 = 1296
Number of illiterate males in village ‘C’ = 1008 – 360 = 648
Number of illiterate females in village ‘C’ = 1296 – 504 = 792
Since, number of females in village ‘A’ is same as number of males in village ‘C’.
So, number of females in village ‘A’ = 1008
Number of males in village ‘A’ = 1728 – 1008 = 720
Number of illiterate males in village ‘A’ = 720 – 512 = 208
Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of
females which is 32 less than number of illiterate people in village ‘A’.
So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768
And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672
Number of females in village ‘E’ = 1184 – 672 = 512
Number of illiterate people in village ‘A’ = 512 + 32 = 544
So, number of illiterate females in village ‘A’ = 544 – 208 = 336
And, number of literate females in village ‘A’ = 1008 – 336 = 672
Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’.
So, number of illiterate people in village ‘B’ = 1296/2 = 648
Number of illiterate males in village ‘B’ = 768 – 408 = 360
Number of illiterate females in village ‘B’ = 648 – 360 = 288
Number of literate females in village ‘B’ = 768 – 288 = 480
Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than
number of illiterate people in village ‘E’.
So, number of females in village ‘D’ = 720
Number of males in village ‘D’ = 1248 – 720 = 528
Number of illiterate males in village ‘D’ = 528 – 288 = 240
Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624
Number of illiterate females in village ‘D’ = 624 – 240 = 384
Number of literate females in village ‘D’ = 720 – 384 = 336
Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’.
Number of illiterate people in village ‘E’ = 720 – 160 = 560
Number of illiterate females in village ‘E’ = 512 – 312 = 200
Number of literate females in village ‘E’ = 512 – 200 = 312
| Number of males | Number of females | |||||||
| Village | Total population | Total | Literate | Illiterate | Total | Literate | Illiterate | Number of un-employed people |
| A | 1728 | 720 | 512 | 208 | 1008 | 672 | 336 | 1728-648=1080 |
| B | 1536 | 768 | 408 | 360 | 768 | 480 | 288 | 1536-576=960 |
| C | 2304 | 1008 | 360 | 648 | 1296 | 504 | 792 | 2304-624=1680 |
| D | 1248 | 528 | 288 | 240 | 720 | 336 | 384 | 1248-480=768 |
| E | 1184 | 672 | 312 | 360 | 512 | 312 | 200 | 1184-384=800 |
Desired ratio = 408:480 = 17:20
In village ‘C’, if 20% of number of literate males and 75% of number of literate females, are employed and rest are un-employed while number of illiterate males who are unemployed is 45% of total number of illiterate people in the same village, then find the number of illiterate females who are unemployed in village ‘C’.
- 618
- 724
- 664
- 544
The Correct Option is A
Solution and Explanation
The correct option is (A) : 618.
| Village | Number of literate | Number of employed people |
| A | 512 | 648 |
| B | 408 | 576 |
| C | 360 | 624 |
| D | 288 | 480 |
| E | 312 | 384 |
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and
62.5% of total population of village ‘C’ is illiterate.
So, number of literate females in village ‘C’ = 1.05 × 480 = 504
Total number of literate people in village ‘C’ = 504 + 360 = 864
Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304
Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000
Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728
Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536
Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248
Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184
Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’.
So, number of un-employed people in village ‘E’ = 1184 – 384 = 800
So, number of males in village ‘C’ = 1.26 × 800 = 1008
Number of females in village ‘C’ = 2304 – 1008 = 1296
Number of illiterate males in village ‘C’ = 1008 – 360 = 648
Number of illiterate females in village ‘C’ = 1296 – 504 = 792
Since, number of females in village ‘A’ is same as number of males in village ‘C’.
So, number of females in village ‘A’ = 1008
Number of males in village ‘A’ = 1728 – 1008 = 720
Number of illiterate males in village ‘A’ = 720 – 512 = 208
Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of
females which is 32 less than number of illiterate people in village ‘A’.
So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768
And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672
Number of females in village ‘E’ = 1184 – 672 = 512
Number of illiterate people in village ‘A’ = 512 + 32 = 544
So, number of illiterate females in village ‘A’ = 544 – 208 = 336
And, number of literate females in village ‘A’ = 1008 – 336 = 672
Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’.
So, number of illiterate people in village ‘B’ = 1296/2 = 648
Number of illiterate males in village ‘B’ = 768 – 408 = 360
Number of illiterate females in village ‘B’ = 648 – 360 = 288
Number of literate females in village ‘B’ = 768 – 288 = 480
Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than
number of illiterate people in village ‘E’.
So, number of females in village ‘D’ = 720
Number of males in village ‘D’ = 1248 – 720 = 528
Number of illiterate males in village ‘D’ = 528 – 288 = 240
Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624
Number of illiterate females in village ‘D’ = 624 – 240 = 384
Number of literate females in village ‘D’ = 720 – 384 = 336
Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’.
Number of illiterate people in village ‘E’ = 720 – 160 = 560
Number of illiterate females in village ‘E’ = 512 – 312 = 200
Number of literate females in village ‘E’ = 512 – 200 = 312
| Number of males | Number of females | |||||||
| Village | Total population | Total | Literate | Illiterate | Total | Literate | Illiterate | Number of un-employed people |
| A | 1728 | 720 | 512 | 208 | 1008 | 672 | 336 | 1728-648=1080 |
| B | 1536 | 768 | 408 | 360 | 768 | 480 | 288 | 1536-576=960 |
| C | 2304 | 1008 | 360 | 648 | 1296 | 504 | 792 | 2304-624=1680 |
| D | 1248 | 528 | 288 | 240 | 720 | 336 | 384 | 1248-480=768 |
| E | 1184 | 672 | 312 | 360 | 512 | 312 | 200 | 1184-384=800 |
Desired number = 1680 – 0.8 × 360 – 0.25 × 504 – 0.45 × (648 + 792) = 618
Average number of unemployed people in village ‘A’, ‘B’, ‘D’ and ‘E’, together is :
- 932
- 920
- 902
- 1130
The Correct Option is C
Solution and Explanation
The correct option is (C) : 902
| Village | Number of literate | Number of employed people |
| A | 512 | 648 |
| B | 408 | 576 |
| C | 360 | 624 |
| D | 288 | 480 |
| E | 312 | 384 |
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and
62.5% of total population of village ‘C’ is illiterate.
So, number of literate females in village ‘C’ = 1.05 × 480 = 504
Total number of literate people in village ‘C’ = 504 + 360 = 864
Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304
Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000
Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728
Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536
Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248
Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184
Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’.
So, number of un-employed people in village ‘E’ = 1184 – 384 = 800
So, number of males in village ‘C’ = 1.26 × 800 = 1008
Number of females in village ‘C’ = 2304 – 1008 = 1296
Number of illiterate males in village ‘C’ = 1008 – 360 = 648
Number of illiterate females in village ‘C’ = 1296 – 504 = 792
Since, number of females in village ‘A’ is same as number of males in village ‘C’.
So, number of females in village ‘A’ = 1008
Number of males in village ‘A’ = 1728 – 1008 = 720
Number of illiterate males in village ‘A’ = 720 – 512 = 208
Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of
females which is 32 less than number of illiterate people in village ‘A’.
So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768
And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672
Number of females in village ‘E’ = 1184 – 672 = 512
Number of illiterate people in village ‘A’ = 512 + 32 = 544
So, number of illiterate females in village ‘A’ = 544 – 208 = 336
And, number of literate females in village ‘A’ = 1008 – 336 = 672
Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’.
So, number of illiterate people in village ‘B’ = 1296/2 = 648
Number of illiterate males in village ‘B’ = 768 – 408 = 360
Number of illiterate females in village ‘B’ = 648 – 360 = 288
Number of literate females in village ‘B’ = 768 – 288 = 480
Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than
number of illiterate people in village ‘E’.
So, number of females in village ‘D’ = 720
Number of males in village ‘D’ = 1248 – 720 = 528
Number of illiterate males in village ‘D’ = 528 – 288 = 240
Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624
Number of illiterate females in village ‘D’ = 624 – 240 = 384
Number of literate females in village ‘D’ = 720 – 384 = 336
Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’.
Number of illiterate people in village ‘E’ = 720 – 160 = 560
Number of illiterate females in village ‘E’ = 512 – 312 = 200
Number of literate females in village ‘E’ = 512 – 200 = 312
| Number of males | Number of females | |||||||
| Village | Total population | Total | Literate | Illiterate | Total | Literate | Illiterate | Number of un-employed people |
| A | 1728 | 720 | 512 | 208 | 1008 | 672 | 336 | 1728-648=1080 |
| B | 1536 | 768 | 408 | 360 | 768 | 480 | 288 | 1536-576=960 |
| C | 2304 | 1008 | 360 | 648 | 1296 | 504 | 792 | 2304-624=1680 |
| D | 1248 | 528 | 288 | 240 | 720 | 336 | 384 | 1248-480=768 |
| E | 1184 | 672 | 312 | 360 | 512 | 312 | 200 | 1184-384=800 |
Desired average = {(1080 + 960 + 768 + 800)/4} = 902.
Difference between number of literate females in villages ‘D’ and ‘E’ is :
- 112
- 24
- 48
- 136
The Correct Option is B
Solution and Explanation
The correct option is (B) : 24.
| Village | Number of literate | Number of employed people |
| A | 512 | 648 |
| B | 408 | 576 |
| C | 360 | 624 |
| D | 288 | 480 |
| E | 312 | 384 |
Since, number of literate females in village ‘C’ is 105% of total number of employed people in village ‘D’ and
62.5% of total population of village ‘C’ is illiterate.
So, number of literate females in village ‘C’ = 1.05 × 480 = 504
Total number of literate people in village ‘C’ = 504 + 360 = 864
Total population of village ‘C’ = \(\frac{864}{0.375}\) = 2304
Total population of all the five villages together = (\(\frac{2304}{103.68}\)) × 360 = 8000
Total population of village ‘A’ = (\(\frac{77.76}{360}\)) × 8000 = 1728
Total population of village ‘B’ = (\(\frac{69.12}{360}\)) × 8000 = 1536
Total population of village ‘D’ = (\(\frac{56.16}{360}\)) × 8000 = 1248
Total population of village ‘E’ = (\(\frac{53.28}{360}\)) × 8000 = 1184
Since, Number of males in village ‘C’ is 26% more than number of un-employed people in village ‘E’.
So, number of un-employed people in village ‘E’ = 1184 – 384 = 800
So, number of males in village ‘C’ = 1.26 × 800 = 1008
Number of females in village ‘C’ = 2304 – 1008 = 1296
Number of illiterate males in village ‘C’ = 1008 – 360 = 648
Number of illiterate females in village ‘C’ = 1296 – 504 = 792
Since, number of females in village ‘A’ is same as number of males in village ‘C’.
So, number of females in village ‘A’ = 1008
Number of males in village ‘A’ = 1728 – 1008 = 720
Number of illiterate males in village ‘A’ = 720 – 512 = 208
Since, in village ‘B’ number of males are 50% while number of males in village ‘E’ is 160 more than number of
females which is 32 less than number of illiterate people in village ‘A’.
So, number of males in village ‘B’ = number of females in village ‘B’ = 0.50 × 1536 = 768
And, number of males in village ‘E’ = (\(\frac{(1184 + 160)}{2}\)} = 672
Number of females in village ‘E’ = 1184 – 672 = 512
Number of illiterate people in village ‘A’ = 512 + 32 = 544
So, number of illiterate females in village ‘A’ = 544 – 208 = 336
And, number of literate females in village ‘A’ = 1008 – 336 = 672
Since, number of females in village ‘C’ is twice the number of illiterate people in village ‘B’.
So, number of illiterate people in village ‘B’ = 1296/2 = 648
Number of illiterate males in village ‘B’ = 768 – 408 = 360
Number of illiterate females in village ‘B’ = 648 – 360 = 288
Number of literate females in village ‘B’ = 768 – 288 = 480
Since, number of males in village ‘A’ is same as the number of females in village ‘D’ which is 160 more than
number of illiterate people in village ‘E’.
So, number of females in village ‘D’ = 720
Number of males in village ‘D’ = 1248 – 720 = 528
Number of illiterate males in village ‘D’ = 528 – 288 = 240
Since, number of illiterate people in village ‘D’ is 65% of number of un-employed people in village ‘B’.
So, number of illiterate people in village ‘D’ = 0.65 × (1536 – 576) = 0.65 × 960 = 624
Number of illiterate females in village ‘D’ = 624 – 240 = 384
Number of literate females in village ‘D’ = 720 – 384 = 336
Since, number of females in village ‘D’ is 160 more than number of illiterate people in village ‘E’.
Number of illiterate people in village ‘E’ = 720 – 160 = 560
Number of illiterate females in village ‘E’ = 512 – 312 = 200
Number of literate females in village ‘E’ = 512 – 200 = 312
| Number of males | Number of females | |||||||
| Village | Total population | Total | Literate | Illiterate | Total | Literate | Illiterate | Number of un-employed people |
| A | 1728 | 720 | 512 | 208 | 1008 | 672 | 336 | 1728-648=1080 |
| B | 1536 | 768 | 408 | 360 | 768 | 480 | 288 | 1536-576=960 |
| C | 2304 | 1008 | 360 | 648 | 1296 | 504 | 792 | 2304-624=1680 |
| D | 1248 | 528 | 288 | 240 | 720 | 336 | 384 | 1248-480=768 |
| E | 1184 | 672 | 312 | 360 | 512 | 312 | 200 | 1184-384=800 |
Desired difference = 336 – 312 = 24
Top Questions on Pie Charts
Light Chemicals is an industrial paint supplier with presence in three locations: Mumbai, Hyderabad and Bengaluru. The sunburst chart below shows the distribution of the number of employees of different departments of Light Chemicals. There are four departments: Finance, IT, HR and Sales. The employees are deployed in four ranks: junior, mid, senior and executive. The chart shows four levels: location, department, rank and gender (M: male, F: female). At every level, the number of employees at a location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
Due to some issues with the software, the data on junior female employees have gone missing. Notice that there are junior female employees in Mumbai HR, Sales and IT departments, Hyderabad HR department, and Bengaluru IT and Finance departments. The corresponding missing numbers are marked u, v, w, x, y and z in the diagram, respectively.
It is also known that:
a) Light Chemicals has a total of 210 junior employees.
b) Light Chemicals has a total of 146 employees in the IT department.
c) Light Chemicals has a total of 777 employees in the Hyderabad office.
d) In the Mumbai office, the number of female employees is 55.
- The production of iron by company A in 2013 is what percent of the total iron produced by all the companies during the given year?
- Company D produced 75% more iron in 2014 than produced by it in 2013. What percent of iron produced in 2014 was produced by company D?
- The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
- The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
Questions Asked in CAT exam
- The passage given below is followed by four summaries. Choose the option that best captures the essence of the passage.
In the dynamic realm of creativity, artists often find themselves at the crossroads between drawing inspiration from diverse cultures and inadvertently crossing into the territory of cultural appropriation. Inspiration is the lifeblood of creativity, driving artists to create works that resonate across borders. In a globalized era of the modern world, artists draw from a vast array of cultural influences. When approached respectfully, inspiration becomes a bridge, fostering understanding and appreciation of cultural diversity. However, the line between inspiration and cultural appropriation can be thin and easily blurred.
Cultural appropriation occurs when elements from a particular culture are borrowed without proper understanding, respect, or acknowledgment. This leads to the commodification of sacred symbols, the reinforcement of stereotypes, and the erasure of the cultural context from which these elements originated. It is essential to recognize that the impact of cultural appropriation extends beyond the realm of artistic expression, influencing societal perceptions and perpetuating power imbalances.- CAT - 2025
- Para Summary
- The number of distinct integers $n$ for which $\log_{\left(\frac14\right)}(n^2 - 7n + 11)>0$ is:
- CAT - 2025
- Linear Inequalities
- In the set of consecutive odd numbers $\{1, 3, 5, \ldots, 57\}$, there is a number $k$ such that the sum of all the elements less than $k$ is equal to the sum of all the elements greater than $k$. Then, $k$ equals?
- CAT - 2025
- Number Systems
- The number of distinct pairs of integers $(x, y)$ satisfying the inequalities $x>y \ge 3$ and $x + y<14$ is:
- CAT - 2025
- Number Systems
For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is:
- CAT - 2025
- Linear Inequalities