Ratio And Proportion Online Test 2020 - Aptitude Questions And Answers MCQ, Online Quiz

Solution: We know that, the number of straight lines that can be formed by the 11 points in which 6 points are collinear and no other set of three points,
except those that can be selected out of these 6 points are collinear.
Hence, the required number of straight lines
= ¹¹C₂ - ⁶C₂ - ⁵C₂ + 1 + 1
= 55 - 15 - 10 + 2 = 32

Solution: 3 1/2 * 8 1/2 = 1/4 * 1/4 * x => x = 476

Solution: a3 : a3/8 * 4/3 π => 6: π

Solution: The sum of the digits in 508, 328, 706 and 148 is 13, but not in 608.

Solution: I.(a - 3)(a - 4) = 0
=> a = 3, 4
II. (b - 2)(b - 1) = 0
=> b = 1, 2
=> a > b

Solution: Since, 40.1 = 40
52 * 40 = 2080

Solution: A.M. of 75 numbers = 35
Sum of 75 numbers = 75 * 35 = 2625
Total increase = 75 * 5 = 375
Increased sum = 2625 + 375 = 3000
Increased average = 3000/75 = 40.

Solution: All are blood relation except Daughter-in-law.

Solution: P-3M+6S, R-3O+6U, G-3D+6J, K-2I+4M and E-3B+6H
Except KIM, all other groups follows similar pattern.

Solution: Except Regiment, all others are caders of army officers.

Solution: 1 to 11 = 11 * 10.9 = 119.9
1 to 6 = 6 * 10.5 = 63
6 to 11 = 6 * 11.4 = 68.4
63 + 68.4 = 131.4 – 119.9 = 11.5
6th number = 11.5 .

Solution: 4.5 4.5
30% 70%
30% ----- 4.5
70% ------? => 10.5 - 4.5 = 6 ml

Solution: 22/7 r2 = 616 => r = 14
2 * 22/7 * 14 = 88

Solution: Speed of train relative to jogger = 45 - 9 = 36 km/hr.
= 36 * 5/18 = 10 m/sec.
Distance to be covered = 240 + 120 = 360 m.
Time taken = 360/10 = 36 sec.

Solution: D = 250 m + 250 m = 500 m
RS = 80 + 70 = 150 * 5/18 = 125/3
T = 500 * 3/125 = 12 sec

Solution: If both agree stating the same fact, either both of them speak truth of both speak false.
Probability = 3/5 * 4/7 + 2/5 * 3/7
= 12/35 + 6/35 = 18/35

Solution: Let the required numbers be 33a and 33b.
Then, 33a + 33b = 528 => a + b = 16.
Now, co-primes with sum 16 are (1, 15), (3, 13), (5, 11) and (7, 9).
Required numbers are (33 * 1, 33 * 15), (33 * 3, 33 * 13), (33 * 5, 33 * 11), (33 * 7, 33 * 9).
The number of such pairs is 4.

Solution: The discriminant of the quadratic equation is (-12)2 - 4(3)(10) i.e., 24.
As this is positive but not a perfect square, the roots are irrational and unequal.

Solution: Let C.P. be Rs. x and S.P. be Rx. y.
Then, 3(y - x) = (2y - x) => y = 2x
Profit = (y - x) = Rs. (2x - x) = Rs. x
Profit % = x/x * 100 = 100%.

Solution: Relative speed of the thief and policeman = 11 - 10 = 1 km/hr.
Distance covered in 6 minutes = 1/60 * 6 = 1/10 km = 100 m.
Distance between the thief and policeman = 200 - 100 = 100 m.