Quantitative Aptitude Quiz For NIACL AO
Directions (1-5): Study the passage and answer the questions given.
Data given below shows the total number of books available in the college library which is 24,000. Ratio of medical (BDS and MBBS) to non-medical books is 7:9. Out of the total medical books (BDS and MBBS), the number of books for MBBS are 10% more than the number of books available for BDS.
Non-medical books consist of books for management, engineering, Diploma and BSC courses. 36% of the total non-medical books are for Diploma and BSC courses and out of this,are for BSC courses. The ratio of the number of books for management to number of books for engineering courses is 21 : 27.
Q1. The number of books available for engineering course is how much more or less than the number of books available for BDS course
Q2. Find the ratio of the total number of books available for MBBS and Diploma courses together to the total number of books available for management and engineering together?
Q3. The number of books available for management courses is what percent more or less than the number of books available for MBBS.
Q4. Total number of management and engineering books together is what percent of the total number of medical books in the library.
Q5. Find the difference between the total number of books for BDS and management courses together and the total number of books for engineering, BSC and Diploma courses together?
Directions (6-10): What approximate value will come in place of (?) in the following questions?
Q6. 39.98% of ? – 49.97% of 360.01 = 39.98% of 259.97
Q8. 223.97 + 369.04 + 459.93 – 381.03 = ?
? ≃ 1053 – 381
? ≃ 672
Q10. 109.97 ÷ 21.96 × 59.97 + 314.94 =? + 219.97
? ≃ 615 – 220
? ≃ 395
Q11. Ratio of radius to height of a cylinder is 1 : 8. If the height of cylinder is reduced by
then find percentage change in total surface area of cylinder.
Q12. A hemispherical bowl of radius ‘R’ is melted to form four spheres of radius ‘r’. Find relation between their radii?
Q13. When a sphere is cut into two hemisphere the total surface area of two hemisphere is equal to the area of circle whose radius is equal to the side of square whose area is 144 cm². Then find the radius of sphere ?
∴ r = a = √144 = 12 cm
Let radius of hemisphere be R.
3πR² + 3πR² = πr²
6πR² = π × 12 × 12
R = √24
= 2√6 cm
Q14. Two inlet pipes A and B can fill an empty tank in 12 hours and 15 hours respectively by working alone while an outlet pipe can empty the full tank in 8 hours . The inlet pipes are kept open for all the time but the outlet pipe was opened for one hour after every two hours .Find in how many hours will the tank be filled?
Q15. The time taken by a boat to row 12 km against the stream is same as time taken by boat to row 21 km with the stream. If speed of boat in still water is 5.5 kmph then find speed of boat is how much percent more than speed of stream?