SSC Scientific Assistant (IMD) Exam : Held on 22-Nov-2017 Shift-2 (Quantitative Aptitude)
SSC Scientific Assistant (IMD) Exam : Held on 22-Nov-2017 Shift-2
(Quantitative Aptitude)
QID : 626 - What least number must be added to 728, so that the sum is completely divisible by 11?
Options:
1) 9
2) 7
3) 5
4) 3
Correct Answer: 9
QID : 627 - A can do 2/3rd of a job in 18 days and B can do 1/3rd of the job in 18 days. If they work on it together, in how many days can they do half of the job?
Options:
1) 12
2) 15
3) 9
4) 18
Correct Answer: 9
QID : 628 - What is the area (in sq cm) of an equilateral triangle of side 16 cm?
Options:
1) 128√3
2) 64√3
3) 32√3
4) 96√3
Correct Answer: 64√3
QID : 629 - What is the effective discount (in %) of two successive discounts of 10% and 40%?
Options:
1) 50
2) 36
3) 55
4) 46
Correct Answer: 46
QID : 630 - Profit of Rs 49,800 has to be divided between three partners A, B and C in the ratio 4:7:9. How much does B (in Rs) get?
Options:
1) 17430
2) 9960
3) 18450
4) 22410
Correct Answer: 17430
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QID : 631 - The average weight of P, Q and R is 84 kg. If the average weight of P and Q be 86 kg and that of Q and R be 75 kg, then what is the weight (in kgs) of Q?
Options:
1) 65
2) 75
3) 70
4) 80
Correct Answer: 70
QID : 632 - A shopkeeper by selling 9 items, earns a profit equal to the selling price of 1 item. What is his profit percentage?
Options:
1) 25
2) 12.5
3) 20
4) 10
Correct Answer: 12.5
QID : 633 - What is the value of 16% of 25% of 400?
Options:
1) 16
2) 8
3) 40
4) 160
Correct Answer: 16
QID : 634 - To cover a distance of 90 km in 1 hour 15 minutes what should be the average speed of the car in meters/second?
Options:
1) 10
2) 15
3) 20
4) 25
Correct Answer: 20
QID : 635 - In 3 years at simple interest the principal increases by 24%. What will be the compound interest (in Rs) earned on Rs. 5,000 in 2 years at the same rate?
Options:
1) 725
2) 840
3) 832
4) 816
Correct Answer: 832
QID : 636 - If 5x/6 - (4/3)(2 - 3x/2) = 1/3 , then what is the value of x?
Options:
1) 17/18
2) -18/17
3) 18/17
4) -17/18
Correct Answer: 18/17
QID : 637 - If a3 + b3 = 28 and ab = 3, then what is the value of a + b?
Options:
1) 2
2) 4
3) 9
4) 3
Correct Answer: 4
QID : 638 - Thrice a fraction is greater than its reciprocal by 46/7. What is the fraction?
Options:
1) 7/3
2) 3/7
3) 5/4
4) 4/5
Correct Answer: 7/3
QID : 639 - What is the sum of the first 13 terms of an arithmetic progression if the 5th term is -2 and the 8th term is 7?
Options:
1) -61
2) 52
3) -15
4) 72
Correct Answer: 52
QID : 640 - What is the reflection of the point (-2, 5) in the line x = 1?
Options:
1) (4 , -5)
2) (4 , 5)
3) (-4 , -5)
4) (-4 , 5)
Correct Answer: (4 , 5)
QID : 641 - Point P is the midpoint of segment AB. Co-ordinates of P are (-5, -2) and A are (-2, 0). What are the co-ordinates of point B?
Options:
1) (-8, -4)
2) (-8, 4)
3) (8, -4)
4) (8, 4)
Correct Answer: (-8, -4)
QID : 642 - What is the slope of the line perpendicular to the line passing through the points (2, -5) and (4, 0)?
Options:
1) -5/2
2) 2/5
3) -2/5
4) 5/2
Correct Answer: -2/5
QID : 643 - ?ABC is similar to ?PQR. If ratio of perimeters of ?ABC : ?PQR is 3:5 and if PQ = 15 cm, then what is the length (in cm) of AB?
Options:
1) 9
2) 10
3) 12
4) 8
Correct Answer: 9
QID : 644 - What is the value of (√2) Sec 30o + (1/√2 )Tan 60o =?
Options:
1) 7/6
2) 5/√6
3) 5/6
4) 7/√6
Correct Answer: 7/√6
QID : 645 - ? LMN is right angled at M. If m∠N = 30o, then
Tan L x (1/2) Cosec L =?
Options:
1) 2
2) 1/√2
3) 1
4) 1/2
Correct Answer: 1
QID : 646 - If Sin θ = 12/37 , then,
Cot θ = ?
Options:
1) 35/12
2) 12/35
3) 37/12
4) 35/37
Correct Answer: 35/12
QID : 647 -
In which division, the number of students who passed in Math was greater than those who passed in Science?
Options:
1) B
2) A
3) C
4) D
Correct Answer: B
QID : 648 -
If division B has 50 students, how many students (in %) failed in Science?
Options:
1) 40
2) 15
3) 80
4) 30
Correct Answer: 80
QID : 649 -
If division C has 40 students how many students (in %) passed in both the subjects?
Options:
1) 75
2) 60
3) 30
4) 40
Correct Answer: 75
QID : 650 -
If the top 20% of students who passed in Math and top 40% of those who passed in Science are to be awarded certificates, how many certificates need to be printed?
Options:
1) 65
2) 23
3) 42
4) 44
Correct Answer: 65
