QUANTITATIVE APTITUDE - 17

Directions (Q.1 - 5): What approximate value will come in place of the question mark (?) in the following questions? (You are not expected to calculate the exact value.)

1. 73.99% of 1299 + 9.98% of 1899 = ?
a) 1250
b) 1230
c) 1150
d) 1180
e) 1200

2. 5891/14.99 + 589.01 - 111.99 = ?
a) 870
b) 920
c) 840
d) 810
e) 770

3. (9.979)^3 - (23.99)^2 + (1.99)^5 = ?
a) 350
b) 490
c) 390
d) 420
e) 450

4. (18/4)^2 * (455/19) / 61/799 = ?
a) 6320
b) 6350
c) 6400
d) 6430
e) 6490

5. 2439.97 - 1234.01 + 401.99 = ? + 989.99
a) 620
b) 650
c) 680
d) 700
e) 600

6. The respective ratio between the present age of son, mother, father and grandfather is 2 : 7 : 8 : 12. The average age of son and mother is 27 years. What will be mother's age after 7 years?
a) 40
b) 41
c) 48
d) 49
e) None of these

7. In an examination Raman scored 25 marks less than Rohit. Rohit scored 45 more marks than Sonia. Rohan scored 75 marks which is 10 more than Sonia. Ravi's score is 50 less than maximum marks of the test. What approximate percentage of marks did Ravi score in the examination if he gets 34 marks more than Raman?
a) 90
b) 70
c) 80
d) 60
e) 85

8. The largest and the smallest angles of a triangle are in the ratio of 3 : 1 respectively. The second largest angle of the triangle is equal to 44 degree. What is the value of 150 percent of the largest angle of the triangle?
a) 149
b) 129
c) 153
d) 173
e) None of these

9. An aeroplane flies with an average speed of 756 km/hr. A helicopter takes 48 hours to cover twice the distance covered by aeroplane in 9 hours. How much distance will the helicopter cover in 18 hours? ( assuming that flights are non-stop and moving with uniform speed)
a) 5014 km
b) 5140 km
c) 5130 km
d) 5103 km
e) None of these

10. Sum of two numbers is equal to sum of square of 11 and cube of 9. Larger number is (5)^2 less than square of 25. What is the value of the sum of twice of 24 percent of the smaller number and half of the larger number?
a) 415
b) 400
c) 410
d) 425
e) None of these

Answers: 1- C, 2- A, 3- E, 4- A, 5- A, 6- D, 7- B, 8- C, 9- D, 10- E

Explanations: 

6. According to questions, (2x+7x)/2 = 27
x = 6. Now, mother age after 7 yrs = 7x + 7 = 49 yrs.

7. Rohan = 75, Sonia = 65, Rohit = 65 + 45 = 110
Raman = 110 - 25 = 85, Ravi = 85 + 34 = 119
Max marks = 119 + 50 = 169, Required % = 119/169 * 100 = 70.

8. Sum of angles = 180 degree.
=> 3x + x + 44 = 180 => x = 34.
Largest angle of triangle = 3 * 34 = 102 degree
Then, 150% of 102 = 102*150 / 100 = 153.

9. Distance covered by aeroplane in 9 hours = speed * Time = 9*756 = 6804 km
Speed of helicopter = (2*6804)/48 = 283.5 km/hr
Distance covered by helicopter in 18 hours = (283.5*18) km = 5103 km.

10. x + y = 11^2 + 9^3, Where x = larger number
=> x + y = 121 + 729 => x + y = 850
x = 25^2 - 5^2 = 600, 
Then, y = 850 - 600 = 250
Required Sum = (250*24*2)/100 + 600/2 = 120 + 300 = 420.