Quantitative Aptitude For NIACL AO Prelims: 25th January 2019

Dear Aspirants,

Directions (1-5): Study the data given below and answer the questions that follow. 

In a school named, ABC a survey is conducted among 500 students based on their likeness for three games namely, Cricket, Football and Hockey. Out of all the students surveyed, 5% don’t like any of the sports. 180 students like cricket, 60 students like all the three sports and number of students who like only Football isof the number of students who like all the three sports. The ratio of number of people who like Football to no. of people who like only football is 3 : 2. There were 400 students who like Football or Cricket. 80 Students like only Cricket. Number of students who likes only Footbal and Cricket, only Cricket and Hockey and only Hockey and Football is same.

Q1. How many Students like only cricket and Hockey?

Solution:

Q2. The no. of students who like only Hockey is how much more/less than the no. of students who like only cricket?

Solution:

Q3. What is the ratio of the no. of students who like exactly two sports to the no. of students who like at least two sports?

Solution:

Q4. If 50 new students are added to the survey and among them 20% like all three sports and remaining like only football & cricket, then find the percentage increase in the no. of students who like Hockey.

Solution:

Q5. What is the difference between the no. of students who like both cricket & Football and the no. of students who like both Hockey and Football?

Solution:

Directions (6 -8): In the given questions, two quantities are given, one as ‘Quantity I’ and another as ‘Quantity II’. You have to determine relationship between two quantities and choose the appropriate option: 

Q6. Ratio between length (in meter) of two train is 16 : 9 and speeds are 108 km/hr and 96 km/hr respectively. If they running in same direction cross each other in 75 sec. 
Quantity I — Length of slower train. 
Quantity II — Faster train crosses platform in 8.4 sec. length of platform.

Solution:

Q7. Quantity I – ‘x’ ; In ‘x’ ways a word of 5 different letters of English alphabet can be formed via using only 2 vowel at a time. 
Quantity II – 2.5 ×619200

Solution:

Q8. Quantity I – ‘x’ : (x+y+z)/3 = 21 , x : y = 5 : 9 and z = x + 6 
Quantity II- Area of circle is 472 sq. cm more than area of square, and perimeter of square is 48 cm. Radius of circle.

Solution:

Q9. The perimeter of a square is equal to twice the perimeter of a rectangle of length of 8 cm and breadth 7 cm. What is the circumference of a semicircle whose diameter is equal to the side of the square? (Rounded off to the two decimal places)(take π = 3.14)

Solution:

Q10. The outer circumference of a 1 cm thick pipe is 44 cm. How much water will 7 cm of the pipe hold. (take π=22/7)

Solution:

Directions (11-15): What will come in place of question mark (?) in the following number series? 

Q11. 54, 77, 116, 187, 322, ?

Solution:

Q12. 1, 2, 6, ? , 88, 445

Q13. 1, 3.5, 5, 14.5, 41.5, ?

Q14. 113, 105, 9, ? , -639

Q15. 71, 76, 84, 97, 118, ?

Solution:

                         
        
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