QUANTITATIVE APTITUDE PRACTICE TEST

**1.The value of**

**1/15 + 1/35 + 1/63 + 1/99 + 1/143 is**

a)8/39

b)5/39

c)1/39

d)11/39

**2.A can do a piece of work in 70 days and B is 40% more efficient than A. The number of days taken by B to do the same work is:**

a)50 days

b)20 days

c)30 days

d)35 days

**3.Area of the base of a pyramid is 57 sq.cm and height is 10cm. What is the volume of the pyramid?**

a)190 cu.cm

b)290 cu.cm

c)390 cu.cm

d)490 cu.cm

**4.For a certain article, if discount is 25% the profit is 25%. If the discount is 10%, then the profit is:**

a)60%

b)20%

c)50%

d)10%

**5.If y : x = 4 : 15, then the value of [(x - y)/(x + y)] is:**

a)7/19

b)5/17

c)13/15

d)11/19

**6.Some carpentars promised to do a job in 9 days but 5 of them were absent and remaining men did the job in 12 days. The original number of the carpentars was:**

a)22

b)16

c)20

d)17

**7.The average of two numbers is 62. If 2 is added to the smallest number, the ratio between them becomes 1:2. What is the difference of the numbers?**

a)55

b)44

c)33

d)22

**8.A shopkeeper makes a profit of 20% even after giving a discount of 10% on the marked price. If the marked price is Rs.500, then the CP of the article is:**

a)Rs.375

b)Rs.525

c)Rs.456

d)Rs.395

**9.If 40% of (A+B) = 60% of (A-B), then the value of (2A-3B)/(A+B) is:**

a)1/7

b)5/7

c)7/6

d)1/4

**10.A number is first increased by 10% and then it is further increased by 20%. The original number is increased altogether by?**

a)25%

b)32%

c)20%

d)30%

__Answer key__2.a)

3.a)

4.c)

5.d)

6.c)

7.b)

8.a)

9.c)

10.b)

__Solution__= 1/(3×5) + 1/(5×7) + 1/(7×9) + 1/(9×11) + 1/(11×13)

= 1/2(1/3 - 1/5 + 1/5 - 1/7 + 1/7 - 1/9 + 1/9 - 1/11 + 1/11 - 1/13)

= 1/2 (1/3 - 1/13)

= 5/39

2.A : B = D2 : D1

or, 100 : 140 = D2 : 70

or, D2 = (100×70)/140 = 50

3.Volume of the pyramid = 1/3 × height × area of the base = 1/3 × 10 × 57 = 190 cu.cm

4.If the marked price be Rs.x and CP be Rs.100,

then, (x×75)/100 = 125

or, x = 500/3

SP after a discount of 10% = 500/3 × 90/100 = Rs.150

Therefore, profit = 50%

5.y : x = 4 : 15

or, x : y = 15 : 4

By componendo and dividendo,

(x - y)/(x + y) = (15 - 4)/(15 + 4) = 11/19

6.Let the original number of carpentars be x.

M1D1 = M2D2

or, x × 9 = (x - 5) × 12

or, 9x = 12x - 60

or, x = 20

7.Sum of the numbers = 124

If the larger number be x, then smaller number = (124 - x)

so, (124 - x + 2)/x = 1/2

or, 252 - 2x = x

or, x = 84

Therefore, smaller number = 124 - 84 = 40

Difference = 84 - 40 = 44

8.If the CP of the article be Rs.x,

then, (500×90)/100 = (x×120)/100

or, x = (5×450)/6 = 375

9.(A+B)×40/100 = (A-B)×60/100

or, 2A + 2B = 3A - 3B

or, A = 5B

Therefore, (2A-3B)/(A+B) = (10B-3B)/(5B+B) = 7B/6B = 7/6

10.Required% increase = [10 + 20 + (10×20)/100] = 32%

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