Mathematics Question Papers
21th August 2017 (Shift-1)
Question-51: What least number must be added to 329, so that the sum is completely divisible by 7?
Options:
1) 1
2) 0
3) 2
4) 3
Correct Answer: 0
Question-52: A can do a work in 15 days and B in 30 days. If they work on it together, then in how many days will they be able to do 50% of the work?
Options:
1) 5
2) 6
3) 4
4) 3
Correct Answer: 5
Question-53: What is the area (in sq cm) of an equilateral triangle of side 10 cm?
Options:
1) 25√3
2) 50√3
3) 75√3
4) 10√3
Correct Answer: 25√3
Question-54: What is the effective discount (in %) on two successive discounts of 15% and 50%?
Options:
1) 65
2) 57.5
3) 35
4) 42.5
Correct Answer: 57.5
Question-55: Profit of Rs 42,500 has to be divided between three partners A, B and C in the ratio 3:5:9. How much (in Rs) does A get?
Options:
1) 12500
2) 9500
3) 22500
4) 7500
Correct Answer: 7500
Question-56: The average weight of A, B and C is 49 kg. If the average weight of A and B is 35 kg and that of B and C is 62 kg, then the weight of B (in kgs) is?
Options:
1) 47
2) 45
3) 43
4) 49
Correct Answer: 47
Question-57: A shopkeeper by selling 6 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?
Options:
1) 20
2) 25
3) 30
4) 35
Correct Answer: 20
Question-58: What is the value of 125% of 25% of 80?
Options:
1) 50
2) 25
3) 20
4) 40
Correct Answer: 25
Question-59: To cover a distance of 81 km in 1.5 hours what should be the average speed of the car in meters/second?
Options:
1) 10
2) 15
3) 12
4) 9
Correct Answer: 15
Question-60: In 4 years at simple interest the principal increases by 32%. What will be the compound interest earned (in Rs) on Rs. 24,000 in 3 years at the same rate?
Options:
1) 5233
2) 6332
3) 5332
4) 6233
Correct Answer: 6233
Question-61: If 5/2(8x/3: 1/2) + 13/2 = 2x/3, then what is the value of x?
Options:
1) 7/8
2) 8/7
3) -8/7
4) -7/8
Correct Answer: -7/8
Question-62: If a3 + b3 = 72 and ab = 8 , then what is the value of a + b?
Options:
1) 2
2) 5
3) 6
4) 3
Correct Answer: 6
Question-63: Sum of four times a fraction and 7 times its reciprocal is 16. What is the fraction?
Options:
1) 2/7
2) 7/2
3) 4/7
4) 7/4
Correct Answer: 7/2
Question-64: What is the sum of the first 11 terms of an arithmetic progression if the 3rd term is -1 and the 8th term is 19?
Options:
1) 204
2) 99
3) 225
4) 104
Correct Answer: 99
Question-65: What is the reflection of the point ( -3, 2) in the line x = -2?
Options:
1) ( -3 , -6)
2) (1 , 2)
3) ( -3 , 6)
4) (-1 , 2)
Correct Answer: (-1 , 2)
Question-66: Point P is the midpoint of segment AB. Co-ordinates of P are (1 , 3) and A are (-3 , 8). What are the co-ordinates of point B?
Options:
1) (-5 , -2)
2) (-5 , 2)
3) (5 , 2)
4) (5 , -2)
Correct Answer: (5 , -2)
Question-67: What is the slope of the line perpendicular to the line passing through the points (3 , -2) and (4 , 2)?
Options:
1) 1/4
2) 4
3) -4
4) -1/4
Correct Answer: -1/4
Question-68: ΔABC is similar to ΔPQR. If ratio of perimeters of ΔABC and ΔPQR is 3:7 and if PQ = 21 cm, then the length of AB (in cm) is?
Options:
1) 6
2) 14
3) 9
4) 18
Correct Answer: 9
Question-69: What is the value of 2 Sec 45o + Tan 30o ?
Options:
1) (2√6 + 1)/√3
2) √3
3) (2√2 + 3)/√6
4) (9 + 2√3)/9
Correct Answer: (2√6 + 1)/√3
Question-70: Δ ABC is right angled at B. If m∠A = 60°, then what is the value of Cot C?
Options:
1) √2
2) 1/√3
3) √3
4) 2/√3
Correct Answer: √3
Question-71: If Cosec θ = 25/7 , then what is the value of Cos θ?
Options:
1) 25/24
2) 7/24
3) 24/25
4) 7/25
Correct Answer: 24/25
Question-72: If Candidate A is disqualified then which candidate will be declared the winner?
Options:
1) E
2) B
3) F
4) D
Correct Answer: F
Question-73: The winning candidate got how many more votes than the one who came second?
Options:
1) 6000
2) 5000
3) 11000
4) 7000
Correct Answer: 6000
Question-74: Analysts believe that if candidate E had not stood in the fray then votes that he got would have been equally divided between F and C, then what would have been the result?
Options:
1) A would have lost by 1000 votes
2) F would have won by 2000 votes
3) F would have lost by 2000 votes
4) A would have won by 1000 votes
Correct Answer: F would have won by 2000 votes
Question-75: If voting attendance was 60% then how many names must be there in the voter list?
Options:
1) 225000
2) 90000
3) 144000
4) 150000
Correct Answer: 150000