SSC CGL 2018 Practice Test Papers | Quantitative Aptitude (Day-11)

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SSC CGL 2018 | Quantitative Aptitude (Day-11)

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1). The average age of a woman and her twin sisters is 22 years. The ratio of ages of woman and her one sister is 13:10.Find the sum of the ages of twin sisters?

  1. 30
  2. 33
  3. 25
  4. 40

2). A distance 240 km is covered partially by bus and boat in 6 hours. The speed of bus is 30 kmph and the speed of boat is 50 kmph. Find the ratio of distances covered by bus to boat.

  1. 1:1
  2. 2:1
  3. 3:5
  4. 5:1

3). A certain sum of money is distributed among 15 people , each one gets Rs.51 and Rs. 35 is left. What is total amount?

  1. 800
  2. 350
  3. 765
  4. 1000

4). Two sofas J and K are sold at a profit of 20 % and 25 % respectively. If the profit is same, then what is the ratio of cost price of K to J?

  1. 5:4
  2. 4:5
  3. 1:1
  4. 2:3

5). A 60 litre solution contains water and Liquor in the ratio 2:3. How much liquor is to be taken out replaced with water to make the ratio 1:1?

  1. 6 l
  2. 12 l
  3. 10  l
  4. 5 l

6). 52001/60×29=?x41

  1. 322
  2. 456
  3. 750
  4. 650

7). If x+1/x=4 then x8+1/x8=?

a. 37634

b.30000

c.388

d.200

8). Sum of twice a fraction and its reciprocal is 57/20. What is the fraction?

a. 5/8

b. 4/5

c.3/2

d.4/6

9). If a3+b3=351 and ab=14. Find a+b?

a.9

b. 3

c. 10

d. 14

10). The compound ratio of 2/7, 5/6,1/5 and 7/9 is

a.1/13

b.1/27

c. 1/50

d.3/46

11). The hypotenuse of a right angled isosceles triangle is 18 cm Find the sum length of other two sides.

a.18√2

b.18

c.20

d.36

Answers:

1). Answer: d

Sum of ages of 3 sisters=22×3=66

Ratio of their age=13:10:10

33x=66

X=2

Sum of ages of twin sisters=  20x=20*2=40

2). Answer: c

Average speed of bus and boat=(30+50)/2=40

Ratio of time=1:1

Distance by bus =30×3=90

Distance by boat=50×3=150

Ratio of distance of bus to boat=90:150=3:5

3). Answer:  a

Amount distributed=15×51=765

Total amount= 765+35=800

4). Answer: b

20% of CP of J= 25 % of CP of K

CP of (K/J)= 4/5

5). Answer: a

Ratio of water and liquor= 2:3

5x=60

X=12

Quantity of water=2x=2×12=24

Quantity of liquor=3x=3×12=36

(24+x)/(36-x)=1/1

X=6

6). Answer: d

2001/60×29=?x41

?=650

7). Answer: a

X+1/x=4

X2+1/X2=42-2=14

X4+1/X4=142-2=194

(X4+1/X4)(X4+1/X4)=x8+1/x8+2

x8+1/x8= 194×194-2=37634

8). Answer: a

Let the fraction be x And Its reciprocal be 1/x

2x+1/x=57/20

2x2+1=57x/20

40x2-57x+20=0

X=5/8

9). Answer: a

ab=14=>a=7,b=2

Substitute in a3+b3

73+23=343+8=351

Therefore, a+b=7+2=9

10). Answer: b

Compound ratio=2/7×5/6×1/5×7/9=1/27

11). Answer: a

In isosceles triangle two sides are equal.

Let x be the length of equal side

Hypotenuse of a right angled isosceles triangle=√2x=18

x=9√2

Sum=9√2+9√2=18√2

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