# SSC Scientific Assistant (IMD) Exam : Held on 23-Nov-2017 Shift-2 (Quantitative Aptitude)

## SSC Scientific Assistant (IMD) Exam : Held on 23 Nov 2017 Shift-2

## (Quantitative Aptitude)

**QID : 1026 –** Convert binary 1010101 to decimal.

**Options:**

1) 85

2) 87

3) 89

4) 91**Correct Answer:** 85

**QID : 1027 – **A can do 75% of a job in 24 days and B can do half of the job in 4 days. If they work on it together in how many days can they the job?

Options:

1) 12. 8

2) 9.6

3) 6.4

4) 10. 2**Correct Answer:** 6.4

**QID : 1028 –** The diagonal of a square is 22 cm. What is the length (in cm) of its side?

Options:

1) 22√2

2) 11/√2

3) 33√2

4) 11√2**Correct Answer:** 11√2

**QID : 1029 –** If on a Sale there is 35% discount on the marked price of Rs 2400, but the sale is done at Rs 1248 only then what additional discount (in %) did the customer get?

Options:

1) 20

2) 15

3) 25

4) 30**Correct Answer:** 20

**QID : 1030 –** What is the third proportional to 9 and 75?

Options:

1) 675

2) 625

3) 725

4) 775**Correct Answer:** 625

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

**QID : 1031 –** In a class of 52 students there are 22 boys. The average weight of these boys is 57 Kg and average weight of the full class is 42 kgs. What is the average weight (in kgs) of the girls of the class?

Options:

1) 33

2) 31

3) 35

4) 37**Correct Answer:** 31

**QID : 1032 – **If a scooter is sold for Rs 23,750, the seller will face 5% loss. At what price (in Rs) should he sell to gain 10% profit?

Options:

1) 26750

2) 27500

3) 24750

4) 22750**Correct Answer: **27500

**QID : 1033 – **Priya got 26 marks more in Arts than what she got in Crafts. Her Arts marks are 60% of the sum of her Arts and Crafts marks. What are her Crafts marks?

Options:

1) 78

2) 65

3) 91

4) 52**Correct Answer**: 52

**QID : 1034 – **To travel 600 km, a Express train takes 3 hours more than Duronto. If however, the speed of the Express train is doubled, it takes 4.5 hours less than Duronto. What is the speed (in km/hr) of Duronto ?

Options:

1) 50

2) 40

3) 80

4) 60**Correct Answer: **50

**QID : 1035 – **What is the difference (in Rs) between the compound interests on Rs. 8000 for 1 year at 12% per annum compounded yearly and half-yearly?

Options:

1) 24.4

2) 18.8

3) 28.8

4) 14.4**Correct Answer: **28.8

**QID : 1036 – **If 9x/2 – (1/3)(5x/2 + 7) = -1/3, then what is the value of x?

Options:

1) 6/11

2) -6/11

3) 11/6

4) -11/6**Correct Answer: **6/11

**QID : 1037 – **If a3 – b3 = 35 and ab = -6, then what is the value of a – b?

Options:

1) 5

2) 2

3) 4

4) 3**Correct Answer**: 5

**QID : 1038 **– A number is greater than 6 times its reciprocal by 5/2. What is the number?

Options:

1) 6

2) 4

3) 5

4) 8**Correct Answer**: 4

**QID : 1039 **– What is the sum of the first 14 terms of an arithmetic progression if the 5th term is 1 and the 7th term is 11?

**Options:**

1) 93

2) 73

3) 187

4) 189**Correct Answer: **189

**QID : 1040 **– What is the reflection of the point (-1, 3) in the line y = 2?

**Options:**

1) (5, 3)

2) (1, 1)

3) (-1, 1)

4) (5, -3)**Correct Answer**: (-1, 1)

**QID : 1041 – **Point A (8 , 2) divides segment BC in the ratio 2:3. Co-ordinates of B are (-1 , 6) and C are (x , y). What is the value of y?

**Options:**

1) -4

2) 8

3) -8

4) 4**Correct Answer: –**4

**QID : 1042 – **At what point does the line 6x – 5y = -12 cuts the x-axis?

Options:

1) (2 , 0)

2) (0 , 2)

3) (-2 , 0)

4) (0 , -2)**Correct Answer**: (-2 , 0)

**QID : 1043 **– ?ABC is right angled at B. BD is an altitude. If AD = 50 cm and DC = 8 cm, what is the value of BD (in cm)?

Options:

1) 25

2) 16

3) 20

4) 42**Correct Answer**: 20

**QID : 1044 **– What is the value of Cot 30o – √2 Cosec 45o =?

Options:

1) √3 – 2

2) (2√2 – 1)/√6

3) (√3 – 2)/2

4) (√3 – 2)/√3**Correct Answer**: √3 – 2

**QID : 1045 **– ? XYZ is right angled at Y. If m∠Z = 60o, then

Sec X.Tan Z =?

**Options:**

1) 2

2) 2/3

3) 2/√3

4) √3/2**Correct Answer**: 2

**QID : 1046 **– If Tan θ = 5/12, then Cosec θ = ?

Options:

1) 5/13

2) 12/5

3) 13/5

4) 13/12**Correct Answer**: 13/5

**QID : 1047 **–

Which type of vehicles were sold more than trucks but less than SUVs?

**Options:**

1) Buses

2) Motorcycles

3) Cars

4) Scooters**Correct Answer**: Cars

**QID : 1048 – **

Ratio of number of motorcycles sold to total of cars and SUVs sold is?

**Options:**

1) 1 : 1

2) 3 : 7

3) 7 : 4

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

**QID : 1049 – **

If 27% of the trucks sold are trailers then how many trailers were sold in the year in the given territory?

**Options:**

1) 2000

2) 3645

3) 2700

4) 2465**Correct Answer**: 2700

**QID : 1050 – **

If 50% of scooters were sold at Rs 50,000/unit and rest were sold at Rs 60,000/unit then the total sales of scooters in the year in the given territory was?

**Options:**

1) Rs 27.5 lakhs

2) Rs 225 crores

3) Rs 275 crores

4) Rs 20 lakhs**Correct Answer**: Rs 275 crores