SSC Scientific Assistant (IMD) Exam : Held on 25 Nov 2017 Shift-1

(Quantitative Aptitude)

QID : 26 - Convert 109 from decimal number system to binary number system.

1) 1101111
2) 1111101
3) 1101101
4) 1110111

Correct Answer: 1101101

QID : 27 - A, B and C can do a job working alone in 10, 15 and 30 days respectively. They all work together for 1 day, then A and B quit. How many days C working alone will take to complete the remainder of the job?

1) 30
2) 18
3) 24
4) 12

Correct Answer: 24

QID : 28 - What is the area (in sq cm) of a circle whose circumference is 66 cm?

1) 346.5
2) 693
3) 364.5
4) 639

Correct Answer: 346.5

QID : 29 - The cost price of an article is Rs x. It is marked up by 140%. It is sold at Rs 4800 after giving 20% discount. What is x (in Rs)?

1) 5000
2) 4000
3) 2500
4) 4500

Correct Answer: 2500

QID : 30 - A bag has Rs.101.5 in the form of 2-rupee, 1-rupee and 25-paise coins in the ratio of 4:5:6. What is the total number of 25-paise coins?

1) 27
2) 42
3) 35
4) 49

Correct Answer: 42

QID : 31 - In the first 35 overs of a 50 over innings, the run rate was 4.7 runs per over. What is the required run rate in the remaining overs to reach the target of 262 runs?

1) 6.5
2) 6.7
3) 6.3
4) 6.9

Correct Answer: 6.5

QID : 32 - A milkman buys milk at Rs 43.75 per litre and adds 1/6 of water to it and sells the mixture at Rs 50 per litre. What is his gain (in %)?

1) 30
2) 25
3) 20
4) 33.3

Correct Answer: 33.3

QID : 33 - When a number is increased by 50, it becomes 104% of itself. What is the number?

1) 1300
2) 1200
3) 1000
4) 1250

Correct Answer: 1250

QID : 34 - P on a motorcycle at 50 km/hr and Q on a cycle at 25 km/hr ride towards each other. What was the distance (in kms) between them when they started if they met after 48 minutes?

1) 66
2) 54
3) 60
4) 72

Correct Answer: 60

QID : 35 - The amount received at 10% per annum Compound interest after 3 yrs is Rs 11,979. What was the principal (in Rs)?

1) 10000
2) 9500
3) 8500
4) 9000

Correct Answer: 9000

Study Kit for SSC Scientific Assistant (IMD) Examination

QID : 36 - If 4/3 - (5/2)(x/3 + 2/9) = -2/9, then what is the value of x?

1) 6/5
2) -6/5
3) 5/6
4) -5/6

Correct Answer: 6/5

QID : 37 - If a3 - b3 = 98 and ab = 15, then what is the value of a - b?

1) 1
2) 4
3) 2
4) 7

Correct Answer: 2

QID : 38 - A number is greater than 10 times its reciprocal by 3. What is the number?

1) 5
2) 6
3) 7
4) 8

Correct Answer: 5

QID : 39 - What is the sum of the first 16 terms of an arithmetic progression if the 5th term is 31 and the 7th term is 43?

1) 114
2) 832
3) 63
4) 134

Correct Answer: 832

QID : 40 - What is the reflection of the point (1, -3) in the line y = 2?

1) (3 , -3)
2) (-1 , 7)
3) (1 , 7)
4) (3 , 3)

Correct Answer: (1 , 7)

QID : 41 - Point P (-4 , 6) is the midpoint of segment AB. Co-ordinates of A are (2, y) and B are (x, -4). What is the value of x?

1) 10
2) 6
3) -6
4) -10

Correct Answer: -10

QID : 42 - What is the equation of a line of slope 5/3 and y-intercept 4?

1) 5x - 3y = 12
2) 5x - 3y = -12
3) 3x - 5y = -12
4) 3x - 5y = 12

Correct Answer: 5x - 3y = -12

QID : 43 - ∆ABC is right angled at B. BD is an altitude. If AD = 2 cm and DC = 16 cm, what is the value of AB (in cm)?

1) 8
2) 6
3) 9
4) 12

Correct Answer: 6

QID : 44 - What is the value of √3 Tan 45o - Sec 60o = ?

1) 2
2) (2√2 - 1)/√6
3) √3 - 2
4) (√3 - 2)/2

Correct Answer: √3 - 2

QID : 45 - ∆ ABC is right angled at B. If m∠A = 30o. What is the length of AB (in cm), if AC = 6√2 cm?

1) 3√3
2) 3√6
3) 2√3
4) 6√3

Correct Answer: 3√6

QID : 46 - If Sec θ = 17/15, then Tan θ = ?

1) 15/8
2) 8/15
3) 17/8
4) 15/17

Correct Answer: 8/15

QID : 47 -

Number of footfalls were least on which day of the week?

1) Tuesday
2) Monday
3) Friday
4) Saturday

Correct Answer: Monday

QID : 48 -

Footfalls on Friday were more (in %) than that on Monday by?

1) 25
2) 10
3) 16.67
4) 20

Correct Answer: 20

QID : 49 -

If the ratio of footfalls to revenue is 1:190 then what was the revenue (in Rs. Lakhs) on Wednesday?

1) 19
2) 21.4
3) 18.5
4) 17.1

Correct Answer: 17.1

QID : 50 -

If 80 percent people who enter the complex make purchases and on an average 1.5 shopping bag/buyer is used, how many shopping bags were used in the six days?

1) 65400
2) 56400
3) 45600
4) 46500

Correct Answer: 56400

Study Kit for SSC Scientific Assistant (IMD) Examination

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