SSC Scientific Assistant (IMD) Exam : Held on 23 Nov 2017 Shift-1

(Quantitative Aptitude)

QID : 426 - What is the HCF of 3555 and 2565?

1) 135
2) 27
3) 15
4) 45

Correct Answer: 45

QID : 427 - A can do a work in 20 days and B in 5 days. If they work on it together for 3 days, then what fraction of work is left?

1) 1/2
2) 3/4
3) 4/5
4) 1/4

Correct Answer: 1/4

QID : 428 - What is the circumference (in cm) of a circle whose area is 1386 sq cm?

1) 66
2) 99
3) 198
4) 132

Correct Answer: 132

QID : 429 - If a retailer offers a discount of 50% on the marked price of his goods and thus ends up selling at cost price, what was the % mark up?

1) 100
2) 150
3) 200
4) 250

Correct Answer: 100

QID : 430 - In an MBA selection process, the ratio of selected to unselected was 13:3. If 40 less had applied and 20 less selected, the ratio of selected to unselected would have been 5:1. How many candidates had applied for the process?

1) 600
2) 560
3) 520
4) 640

Correct Answer: 640

QID : 431 - Average of all natural numbers from 73 to 101 is?

1) 87
2) 85
3) 83
4) 81

Correct Answer: 87

QID : 432 - A farmer buys a cow and a buffalo for Rs 45,000. He sold the cow at a profit of 20 percent and the buffalo at a loss of 20 percent. If he sold both the animals at the same price, then the cost price (in Rs) of the cheaper animal was?

1) 27000
2) 20000
3) 25000
4) 18000

Correct Answer: 18000

QID : 433 - Two numbers are 20% and 25% lesser than a third number. By how much percent is the second number to be enhanced to make it equal to the first number?

1) 5
2) 6.67
3) 8
4) 7.5

Correct Answer: 6.67

QID : 434 - Two cars A and B travel from one city to another, at speeds of 40 and 50 km/hr respectively. If car B takes 2.5 hours lesser time than car A for the journey, then the distance (in kms) between the two cities is?

1) 600
2) 500
3) 400
4) 300

Correct Answer: 500

QID : 435 - At what rate of compound interest (in %) per annum will a sum of Rs. 72,000 become Rs. 95,220 in 2 years?

1) 14
2) 13
3) 12
4) 15

Correct Answer: 15

QID : 436 - If 5x/2 - (4/3)(9x/2 - 6) = -x/2, then what is the value of x?

1) -8/3
2) 3/8
3) 8/3
4) -3/8

Correct Answer: 8/3

QID : 437 - If a3 - b3 = 56 and ab = 8, then what is the value of a - b?

1) 7
2) 6
3) 1
4) 2

Correct Answer: 2

QID : 438 - 4 times a fraction is greater than its reciprocal by 15/28. What is the fraction?

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

Correct Answer: 4/7

QID : 439 - What is the sum of the first 16 terms of an arithmetic progression if the first term is -9 and last term is 51?

1) 97
2) 336
3) 57
4) 108

Correct Answer: 336

QID : 440 - What is the reflection of the point (2, -4) in the line y = 1?

1) (2 , 6)
2) (0 , -4)
3) (-2 , 6)
4) (0 , 4)

Correct Answer: (2 , 6)

QID : 441 - What is the distance between the points (3 , -6) and (-3 , 2)?

1) 13
2) 12
3) 11
4) 10

Correct Answer: 10

QID : 442 - What is the equation of a line which has 4 as x-intercept and -6 as y-intercept?

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

Correct Answer: 3x - 2y = 12

QID : 443 - ∆ABC is right angled at B. BD is an altitude. If DC = 5 cm and AD = 40 cm, what is the value of BC (in cm)?

1) 12
2) 18
3) 15
4) 16

Correct Answer: 15

QID : 444 - What is the value of x?

√3 Sin 30o - (1/√2) Cosec 45o = x

1) 7/3
2) 2
3) (2√2 - 1)/√6
4) (√3 - 2)/2

Correct Answer: (√3 - 2)/2

QID : 445 - ∆ DEF is right angled at E. If m∠D = 30o. What is the length of DE (in cm), if EF = 4√3 cm?

1) 12
2) 6
3) 8
4) 18

Correct Answer: 12

QID : 446 - If Cosec θ = 25/7, then Tan θ = ?

1) 24/7
2) 7/25
3) 24/25
4) 7/24

Correct Answer: 7/24

QID : 447 -

If we ignore water then which nutrient is to be consumed the most?

1) Vegetables
2) Dairy product
3) Protein
4) Carbohydrates

Correct Answer: Carbohydrates

QID : 448 -

The recommended Protein consumption is more (in %) than Vitamins by?

1) 60
2) 120
3) 80
4) 150

Correct Answer: 150

QID : 449 -

If recommended intake of Dairy products is doubled then the ratio of recommended quantities of Protein to Dairy products would be?

1) 1 : 2
2) 4 : 1
3) 1 : 4
4) 2 : 1

Correct Answer: 1 : 4

QID : 450 -

If a person eats a total of 1 kilogram of all the food groups in 1 day, then the recommended quantity of water intake (in gms) should be?

1) 126
2) 350
3) 700
4) 252

Correct Answer: 350

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