# 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

## Study Kit for SSC Scientific Assistant (IMD) Examination** **

**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