Quantitative Aptitude Question Papers
09th August 2017 (Shift-1)
Question-1:
Question-2: A piece of work was finished by A, B and C together. A and B together finished 60% of the work and B and C together finished 70% of the work. Who among the three is most efficient?
Options:
1) A
2) B
3) C
4) A or B
Correct Answer: C
Question-3: Three solid spheres of radius 3 cm, 4 cm and 5 cm are melted and recasted into a solid sphere. What will be the percentage decrease in the surface area?
Options:
1) 12
2) 14
3) 16
4) 28
Correct Answer: 28
Question-4: The marked price of a sofa set is Rs 4800 which is sold at Rs 3672 at two successive discounts. If the first discount is 10%, then what will be the second discount (in %)?
Options:
1) 13
2) 14
3) 15
4) 17
Correct Answer: 15
Question-5: A, B, and C invested amounts in the ratio 3 : 4 : 5 respectively. If the schemes offered compound interest at the rate of 20% per annum, 15% per annum, and 10% per annum respectively, then what will be the ratio of their amounts after 1 year?
Options:
1) 3 : 15 : 25
2) 6 : 6 : 5
3) 36 : 46 : 55
4) 12 : 23 : 11
Correct Answer: 36 : 46 : 55
Question-6: The average age of 120 members of a society is 60.7 years. By addition of 30 new members, the average age becomes 56.3 years. What is the average age (in years) of newly joined members?
Options:
1) 36.5
2) 37.2
3) 38.3
4) 38.7
Correct Answer: 38.7
Question-7: By selling 175 pineapples, the gain is equal to the selling price of 50 pineapples. What is the gain percentage?
Options:
1) 28
2) 30
3) 32
4) 40
Correct Answer: 40
Question-8: If A has got 20% more marks than B, then by what percent marks of B are less than the marks of A?
Options:
1) 16.66
2) 20
3) 33.33
4) 14.28
Correct Answer: 16.66
Question-9: A train leaves Delhi at 10 a.m. and reaches Jaipur at 4 p.m. on the same day. Another train leaves Jaipur at 12 p.m. and reaches Delhi at 5 p.m. on same day. What is the time of day (approximately) when the two trains will meet?
Options:
1) 1:42 p.m.
2) 1:27 p.m.
3) 2:04 p.m.
4) 1:49 p.m.
Correct Answer: 1:49 p.m.
Question-10: The difference between the compound interest compounding half-yearly for 1 year and the simple interest for 1 year on a certain sum of money lent out at 8% per annum is Rs 64. What is the sum (in Rs)?
Options:
1) 40000
2) 42000
3) 44000
4) 44800
Correct Answer: 40000
Question-11: If (x – 2) and (x + 3) are the factors of the equation x2 + k1x + k2 = 0, then what are the values of k1 and k2?
Options:
1) k1 = 6, k2 = – 1
2) k 1 = 1, k 2 = – 6
3) k 1 = 1, k2 = 6
4) k1 = – 6, k2 = 1
Correct Answer: k 1 = 1, k 2 = – 6
Question-12: If (x – y) = 7, then what is the value of (x – 15)3 – (y – 8)3?
Options:
1) 0
2) 343
3) 392
4) 2863
Correct Answer: 0
Question-13: If x – y – √18 = –1 and x + y – 3√2 = 1, then what is the value of 12xy(x2 – y2)?
Options:
1) 0
2) 1
3) 512√2
4) 612√2
Correct Answer: 612√2
Question-14: If p/q = r/s = t/u = √5, then what is the value of [(3p2 + 4r2 + 5t2)/(3q2 + 4s2 + 5u2)]?
Options:
1) 1/5
2) 5
3) 25
4) 60
Correct Answer: 5
Question-15: In triangle ABC, a line is drawn from vertex A to a point D on BC. If BC = 9 cm and DC = 3 cm, then what is the ratio of the areas of triangle ABD and triangle ADC respectively?
Options:
1) 1 : 1
2) 2 : 1
3) 3 : 1
4) 4 : 1
Correct Answer: 2 : 1
Question-16: PQR is a right angled triangle in which ∠R = 90°. If RS ⊥ PQ, PR = 3 cm and RQ = 4 cm, then what is the value of RS (in cm)?
Options:
1) 12/5
2) 36/5
3) 5
4) 2.5
Correct Answer: 12/5
Question-17: In triangle PQR, A is the point of intersection of all the altitudes and B is the point of intersection of all the angle bisectors of the triangle. If ∠PBR = 105°, then what is the value of ∠PAR (in degrees)?
Options:
1) 60
2) 100
3) 105
4) 115
Correct Answer: 60
Question-18: If there are four lines in a plane, then what cannot be the number of points of intersection of these lines?
Options:
1) 0
2) 5
3) 4
4) 7
Correct Answer: 7
Question-19: What is the simplified value of cosec 2A + cot 2A?
Options:
1) sec A
2) sec (A/2)
3) cot A
4) cot2 A
Correct Answer: cot A
Question-20: If A = 30°, B = 60° and C = 135°, then what is the value of sin3A + cos3B + tan3C – 3sin A cos B tan C?
Options:
1) 0
2) 1
3) 8
4) 9
Correct Answer: 0
Question-21. What is the least value of tan2 θ + cot2 θ + sin2 θ + cos2 θ + sec2 θ + cosec2 θ?
Options:
1) 1
2) 3
3) 5
4) 7
Correct Answer: 7
Question-22: If Mr. Raghav taught a total of 500 hours, then what is the difference in the number of hours of teaching algebra and modern Maths?
Options:
1) 15
2) 20
3) 25
4) 40
Correct Answer: 25
Question-23: Mr. Raghav taught Geometry for 36 hours. If the time taken in teaching Ratio constitutes one-fourth of the time for Arithmetic, then for how much time (in hours) did he taught the topic of Ratio?
Options:
1) 46
2) 51.75
3) 69
4) 103.5
Correct Answer: 69
Question-24: If Data Interpretation and Modern Maths were taught for a combined time of 96 hours, then for how much time (in hours) were Number system and Geometry taught?
Options:
1) 136
2) 184
3) 216
4) 232
Correct Answer: 232
Question-25: A new topic named Problem Solving was also introduced and it was decided that 10% time of all topics except Arithmetic will be devoted to it. What will be the central angle (in degrees) made by Problem Solving in the new pie chart?
Options:
1) 17.28
2) 18
3) 19.44
4) 36
Correct Answer: 19.44