# SSC Scientific Assistant (IMD) Exam : Held on 24-Nov-2017 Shift-2 (Quantitative Aptitude)

## SSC Scientific Assistant (IMD) Exam : Held on 24-Nov-2017 Shift-2

## (Quantitative Aptitude)

**QID : 1026 - **What is the remainder when 3456 is divided by 39?

**Options:**

1) 24

2) 27

3) 29

4) 31**Correct Answer: **24

**QID : 1027 - **A can do a work in 4.5 days and B in 5.5 days. If they work on it together, then in how many days will they be able to do the work?

**Options:**

1) 99/40

2) 9/4

3) 90/44

4) 44/9**Correct Answer: **99/40**QID : 1028 - **Area of 4 walls of a cuboid is 816 sq cm, its length is 18 cm and height is 12 cm. What is its breadth (in cm)?

**Options:**

1) 14

2) 12

3) 16

4) 10**Correct Answer: **16

**QID : 1029 - **At 25% discount the selling price of an article is Rs 4800, what is the selling price (in Rs) if the discount is 38%?

**Options:**

1) 4968

2) 3968

3) 3698

4) 4698**Correct Answer: **3968

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

**QID : 1030 - **What is the fourth proportional to 415, 225 and 166?

**Options:**

1) 80

2) 70

3) 90

4) 60**Correct Answer: **90

**QID : 1031 - **What is the average of all numbers between 13 and 110 which are divisible by 11?

**Options:**

1) 63

2) 61

3) 60.5

4) 59**Correct Answer: **60.5

**QID : 1032 - **A trader had 1800 kgs of jowar. He sold a part of it at 15% profit and the rest at 7% profit, so that he made a total profit of 10%. How much jowar (in kg) did he sell at 15% profit?

**Options:**

1) 1125

2) 675

3) 775

4) 1025**Correct Answer: **675

**QID : 1033 - **30% of a = b, then b% of 30 is the same as _________ of a.

**Options:**

1) 3%

2) 90%

3) 30%

4) 9%**Correct Answer: **9%

**QID : 1034 - **Excluding stoppages, the speed of a bus is 66 kmph and including stoppages, it is 55 kmph. For how many minutes does the bus stop per hour?

**Options:**

1) 15

2) 12

3) 18

4) 10**Correct Answer: **10

**QID : 1035 - **The simple and compound interest that can be earned in two years at the same rate is Rs 1,800 and Rs 1,881 respectively. What is the rate (percent per annum) of interest?

**Options:**

1) 10

2) 11

3) 9

4) 8**Correct Answer: **9

**QID : 1036 - **If 4x/3 + (1/6)(5/2 - 9x/2) = -5x/12, then what is the value of x?

**Options:**

1) 5/12

2) -5/12

3) 12/5

4) -12/5**Correct Answer: -**5/12

**QID : 1037 - **If a3 - b3 = 56 and a - b = 2, then what is the value of ab?

**Options:**

1) 8

2) 12

3) 6

4) 9**Correct Answer: **8

**QID : 1038 - **6 times a fraction is greater than its reciprocal by 1. What is the fraction?

**Options:**

1) 3/2

2) 1/2

3) 5/2

4) 7/2**Correct Answer: **1/2

**QID : 1039 - **What is the sum of the first 12 terms of an arithmetic progression if the first term is 5 and last term is 38?

**Options:**

1) 73

2) 258

3) 107

4) 276**Correct Answer: **258

**QID : 1040 - **What is the reflection of the point (-2, 3) in the line x = -4?

**Options:**

1) (-2 , -11)

2) (-6 , 3)

3) (6 , 3)

4) (-2 , 11)**Correct Answer: **(-6 , 3)

**QID : 1041 - **What are the co-ordinates of the centroid of a triangle, whose vertices are A(1 , -5), B(3 , 0) and C(5 , 2)?

**Options:**

1) (3 , 1)

2) (-3 , -1)

3) (-3 , 1)

4) (3 , -1)**Correct Answer**: (3 , -1)

**QID : 1042 - **Slope of the line AB is -3/4. Co-ordinates of points A and B are (x , -5) and (2 , 4) respectively. What is the value of x?

**Options:**

1) 14

2) 12

3) 10

4) 8**Correct Answer: **14

**QID : 1043 - **D and E are points on sides AB and AC of ?ABC. DE is parallel to BC. If AD:DB = 1:2, what is the ratio of area of ?ADE: area of quadrilateral BDEC?

**Options:**

1) 1 : 8

2) 1 : 9

3) 1 : 4

4) 1 : 3**Correct Answer: **1 : 8

**QID : 1044 - **What is the value of 3 Sin 30o + (1/√3) Cos 30o .

**Options:**

1) (1 + 3√2)/√3

2) 2

3) (3 + 2√2)/3√2

4) 7/3**Correct Answer: **2

**QID : 1045 **- ? PQR is right angled at Q. If m∠R = 30o. What is the length of PR (in cm), if RQ = 12 cm?

**Options:**

1) 12√3

2) 6√3

3) 9√3

4) 8√3**Correct Answer**: 8√3

**QID : 1046 - **If Sin θ = 8/17, then

Sec θ = ?

**Options:**

1) 17/8

2) 17/15

3) 8/15

4) 15/17**Correct Answer**: 17/15

**QID : 1047 - **

Which category of members are the second highest in the club?

**Options:**

1) Working men

2) Working women

3) Seniors

4) Kids**Correct Answer: **Working men**QID : 1048 - **

What is the ratio of number of working women to total of House wives and kids?

**Options:**

1) 1 : 3

2) 3 : 1

3) 9 : 2

4) 2 : 9**Correct Answer: **3 : 1

**QID : 1049 - **

What is the angular measure (in degrees) of the sector representing students?

**Options:**

1) 30

2) 80

3) 60

4) 90**Correct Answer: **80

**QID : 1050 - **

If annual membership fees is Rs 12,000 for every one except for seniors and kids who get 60% rebate, how much (in Rs. Lakhs) did the club earn as annual membership fees?

**Options:**

1) 16.24

2) 15.12

3) 14.4

4) 14.8**Correct Answer: **15.12