SSC Scientific Assistant (IMD) Exam : Held on 25-Nov-2017 Shift-2 (Quantitative Aptitude)

SSC Scientific Assistant (IMD) Exam : Held on 25 Nov 2017 Shift-2

(Quantitative Aptitude)

QID : 826 - What is the LCM of 65 and 169?

1) 945
2) 845
3) 745
4) 645

Correct Answer: 845

QID : 827 - A can paint a house in 18 days and B can do it in 36 days. Along with C, they did the job in 6 days only. Then in how many days, C alone can do the job?

1) 8
2) 9
3) 10
4) 12

Correct Answer: 12

QID : 828 - What is the diameter (in cm) of a sphere of surface area 5544 sq cm?

1) 42
2) 21
3) 31.5
4) 63

Correct Answer: 42

QID : 829 - A t-shirt of Rs 400 is offered at 25% discount and a shirt of Rs 800 at 40% discount. If Amit bought 2 t-shirts and 4 shirts, what is the effective discount (in %) he got?

1) 37
2) 35
3) 33
4) 31

Correct Answer: 37

QID : 830 - If A's wealth is 7/9 times of B's and C's is 4/3 times of B's, what is the ratio of C's wealth to A's?

1) (7:12)
2) (28:27)
3) (27:28)
4) (12:7)

Correct Answer: (12:7)

QID : 831 - The average of six consecutive odd numbers is 30. What is the largest number?

1) 35
2) 33
3) 37
4) 39

Correct Answer: 35

QID : 832 - If a trader decides to sell ground nut oil at Rs 120/litre he faces a loss of 10%. Now if he decides to sell it at Rs 160/litre, what will be the profit (in %)?

1) 30
2) 20
3) 10
4) 25

Correct Answer: 20

QID : 833 - A man donates 60% of his wealth to charity and gives the rest to his children. Amount which the children gets is what percent of the amount which was donated?

1) 150
2) 66.67
3) 40
4) 120

Correct Answer: 66.67

QID : 834 - If a person jogs at 11 km/hr instead of 10 km/hr, he would have walked 500 meters more in the same time. The actual distance (in kms) jogged by him is?

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

Correct Answer: 5

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QID : 835 - Krish invested an amount of x rupees in a certain business offering 12% per annum for 1st year and 20% per annum for 2nd year and received an amount of Rs 60,480 after the two years. What is x (in Rs)?

1) 40000
2) 42000
3) 46000
4) 45000

Correct Answer: 45000

QID : 836 - If (9/5)(x/2 - 10/3) + 4x/5 = 7x/10, then what is the value of x?

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

Correct Answer: 6

QID : 837 - If a3 - b3 = 91 and ab = 30, then what is the value of a - b?

1) 1
2) 8
3) 4
4) 6

Correct Answer: 1

QID : 838 - Thrice a fraction is greater than its reciprocal by 2/15. What is the fraction?

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

Correct Answer: 3/5

QID : 839 - What is the sum of the first 14 terms of an arithmetic progression if the first term is 25 and last term is -53?

1) -130
2) 94
3) 98
4) -196

Correct Answer: -196

QID : 840 - What is the reflection of the point (3, -2) in the line y = 1?

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

Correct Answer: (3 , 4)

QID : 841 - The distance between the points (4,8) and (k,-4) is 15. What is the value of k?

1) 5
2) 3
3) -3
4) -5

Correct Answer: -5

QID : 842 - What is the equation of the line perpendicular to the line 4x - 3y= 6 and having y-intercept -5?

1) 3x + 4y = 20
2) 3x + 4y = -20
3) 4x - 3y = -20
4) 4x - 3y = 20

Correct Answer: 3x + 4y = -20

QID : 843 - D and E are points on sides AB and AC of ∆ABC. DE is parallel to BC. If AD:DB = 1:2 and area of ∆ADE is 3 sq cm, what is the area (in sq cm) of quadrilateral BDEC?

1) 24
2) 21
3) 27
4) 30

Correct Answer: 24

QID : 844 - What is the value of x?
2 Cot 60o - (1/√3) Cos 45o = x

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

Correct Answer: (2√2 - 1)/√6

QID : 845 - ∆ LMN is right angled at M. If m∠N = 45o. What is the length of MN (in cm), if NL = 8 cm?\

1) 8√2
2) 4/√2
3) 4√2
4) 4

Correct Answer: 4√2

QID : 846 - If Cot θ = 15/8, then Cosec θ = ?

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

Correct Answer: 17/8

QID : 847 -

The household spends the most for which item?

1) Rent
2) Travel
3) Food
4) Fees

Correct Answer: Food

QID : 848 -

If the household's monthly income is Rs 50,000, then its savings are ___________ percent of its income.

1) 14
2) 28
3) 36
4) 72

Correct Answer: 28

QID : 849 -

If the travel expense had been Rs 4000 more, then the ratio of fees to travel would have been?

1) 3 : 5
2) 5 : 3
3) 3 : 1
4) 1 : 3

Correct Answer: 1 : 3

QID : 850 -

What is the sum of the angular degrees of the sectors representing food and utilities?

1) 140
2) 150
3) 170
4) 160

Correct Answer: 170

Study Kit for SSC Scientific Assistant (IMD) Examination

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