## Quantitative Aptitude Practice Set : Number Series

**Q.1 Asim bought a Cow and a Goat for Rs. 6000. He sold the Cow to his neighbour at a gain of 20% and the goat to a meat shop at a loss 10%. Thereby gaining 2% on the whole. Find the cost of the Cow.**

a). Rs. 1100

b). Rs. 4800

c). Rs. 2400

d). Rs. 1200

**Q.2 Peter earned profit by selling an watch for Rs. 840 is double the loss incurred when the same watch is sold for Rs. 420. At what price the watch be sold to make 25% profit?**

a). Rs. 800

b). Rs. 750

c). Rs. 700

d). Rs. 900

e). None of these.

**Q3.Ranjan sold a jewellery to Binoy, Binoy sold to Amit, Amit sold to Amrik and as a result price rises on the whole transaction by 80%. If Ranjan and Binoy earned 20% & 25% profit respectively, find the percentage profit earned by Amit?**

a). 21%

b). 25%

c). 26%

d). 20%

e) None of these.

**Q4. Vegetable oil cost Rs. 60 per kg. After adulterating it with pure Ghee costing Rs. 100 per kg, a seller sells the mixture a profit making rate of Rs. 91 per kg, thereby making a profit of 30%. In what ratio does he mix this two things?**

a). 3 : 1

b). 3 : 2

c). 2 : 3

d) 1 : 3

e) None of these.

**Q.5 Ashok and Bikash are engaged to do a work. Ashok takes 12 hr more to complete the worked together. If Bikash worked alone, he would need 3 hr more to complete the job them they both working together. What time that take to do the work together?**

a). 4 hrs

b). 5hrs

c). 6 hrs

d).8 hrs

e) None of these.

**Q.6 Two friends Amal and Bhupal start a business. Their investing ratio of 3:4. Rajesh joined them after six months investing an amount equal to that Bhupal’s. At the end of the year earned Rs. 96000 which is equal 30% profit. What is the amount invested by Rajesh?**

a). Rs. 192500

b). Rs. 192000

c). Rs. 192600

d). Rs. 192550

e) None of these.

**Q.7 Two pipes P and Q together can fill a tank in 4 hrs. If they opened separtelly Q would have taken 6 hrs more than P to fill the tank. If the pipe could be done separately work them how long time be taken by P to fill the tank?**

a).6 hrs

b). 5 hrs

c).7 hrs

d)11 hrs

e) None of these.

**Q.8. Xavier brought a motor cycle for Rs. 80,000 and spent Rs. 2000 on repair and for transport spent Rs. 2000. If he sold it with 30 profit. At what price did he sell the motor cycle?**

a).Rs.109770

b). Rs.109200

c).Rs.109250

d)Rs.107950

e). None of these.

**Q.9. A man travelled at the rate of 5 kmph he misses the bus by 7 minutes. However if he travelled at the rate of 6 kmph, he reaches the bus stop in 5 minutes before the arrival of bus. Find the distance covered by the man to reach the Bus-Stop.**

a).6 km

b). 5 km

c).4 km

d).10 km

e). None of these.

**Q.10 In our college examination, there mars division is like this, 4 marks for every correct answer & loss 1 marks for every wrong answer. If Suva score 130 marks to attend 60 questions. The no. of questions Suva attends correctly are-**

a).40

b). 42

c).41

d).48

e) 38

**Directions: (Q 11 – Q 15). Find the wrong number in each sequence.**

**Q.11 3 4 17 33 61 94**

a). 4

b). 17

c). 61

d).94

e) None of these.

**Q.12. 2 7 15 27 40 57 77**

a).2

b). 7

c).15

d) 27

e) None of these.

**Q.13. 4 6 16 61 308 1846**

a).16

b). 61

c).308

d). 1846

e). 4

**Q.14. 18 27 43 68 105 153**

a). 153

b). 43

c). 27

d). 18

e) None of these

**Q.15. 11 22 47 95 181 363**

a). 11

b). 47

c). 363

d). 22

e) None of these

__Solution__**Ans.1 –c.**

Hints: let C.P. of the Cow is Rs. x.

20% of X – 10% of (6000-x) = 2% of 6000

X= Rs. 2400.

**Ans.2 – c**

Let C.P = Rs. X

Then, 840 – X=2(X-420)

X = 560

Required S.P. = (560 * 125)/100 = 700

**Ans.3 – d**

Let the original price of the jewellery be Rs.P & the profit earned by Amit be X%.

Then, (100 + X)% of 125 % of 120% of P=180% of P

X=20%

**Ans.4 –a**

Means cost price= 100 * 91/130 = 70

Required ratio= (100 – 70): (70 – 60)

3: 1

**Ans.5 – c**

Let Ashok and Bikash complete the work in X hrs.

1/(X+12) + 1/(X + 3) = 1 / X

X=6 hrs.

**Ans.6 – b**

Let total profit=X

Then 30% of X = 96000

X= 320000

Let the capital of Amal, Bhupal & Rajesh be 3X,4X and 6X.

Then, (3X *12) + (4X *12) +(6X * 6) = 320000 * 12

X=32000

Rajesh investment = 6X= 32000 * 6= 192000

**Ans.7 – a**

Let the tank be filled by pipe P alone in X hrs.

Then pipe Q will fill it in (X + 6)

1/X + 1/ (X+6) = 1 /4

X=6

**Ans.8 – b**

Total spent = 80000+2000+2000 = 84000

Sells price = (84000 * 130)/100 = 109200

**Ans.9 – a).**

Let the required distance be X km.

Difference in the times taken at two Speeds = 12 min = 1/5 hr.

Then, X/5 – X/6 = 1/5

X = 6 km.

**Ans.10 – e.**

Hints: Let correct answer be =x.

4x – (60 – x) = 130

X = 38

**Ans.11 –c.**

Add 12, 22, 32, 42, 52, and 62. So 61 is wrong.

**Ans.12 –d**

Go on adding 5, 8, 11, 14, 17, 20.

**Ans.13 –b**

2nd term = (1st term * 2 – 2)

3rd term =(2nd term * 3 – 2)

4th term = (3rd term * 4 – 2) and so on.

Hence 61 is wrong.

**Ans.14 –e**.

2nd term = 1st term + 22

3rd term = 2nd term + 33

4th term = 3rd term + 42

5th term = 4th term + 52 and so on.

Hence 105 is wrong.

**Ans. 15 – d.**

Go on multiplying 2 and adding 1 to get the next number.

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