**Question-1****Explanation**

**2,7,15,23,28,39,55 ?**

**Options :**

a)39

b)41

c)43

d)476

**Answer: ** ** b) 41**

There are two series in this. Every alternate number is forming on series.

2+13=15,15+13=28,28+13=41

7+16=23,23+16=39,39+16=55

So the missing number is b) 41

**Question-2****Explanation**

**4,40,112,544 ****?**

**Options :**

a)246

b)240

c)256

d)260

**Answer: ** ** c) 256**

4+36=40,40+72=112,112+144=256,256+288=244

Hence answer is c) 256.

**Question-3****Explanation**

**121,256,441,676,1296,? **

**Options :**

a)861

b)761

c)661

d)961

**Answer: ** ** d) 961**

The series consists of squares of 11,16,21,26,31,36….

So missing number is 31^2=961

**Question-4****Explanation**

**Chennai Guruvayur Express running from Chennai Egmore to Guruvayur, the temple city in Kerala passes a Telegraph pole in 18 seconds and a platform of Tambaram railway station in 42 seconds. The length of Tambaram Railway station platform is 960 metres. Calculate the length of Chennai Guruvayur Express train?**

**Options :**

a)640 metres

b)800 metres

c)720 metres

d)840 metres

**Answer: ** ** c) 720 metres**

* Chennai Guruvayur Express Train crosses the telegraph pole in 18 second and Tambaram Railway station platform of length 960 metres in 42 seconds.

* The time taken by a train to cross a telegraph pole is the time train takes to cover its length.

* The time taken by the train to cross a platform is the time it takes to cross its own length and also the length of platform.

* Time taken to cross platform length=42-18=24 seconds.

* Platform length=960 metres

* Speed of train per second =960/24 m/sec

Length of the train = time taken to cross the pole x speed per second=18*40=720 metres.

**Question-5****Explanation**

**Ramu buys 3 dozen tomatoes for Rs. 360. He buys carry bags to take them to his shop. Only one dozen can be filled into a carry bag and cost of each carry bag is Rs. 10. He then sells the tomatoes along with carry bags for a cost of 200 per dozen. What is his profit percentage.**

**Options :**

a)53.84%

b)60%

c)56.67%

d)63.84%

**Answer: ** ** a) 53.84% **

Cost of 3 dozens of tomatoes is Rs. 360

Cost of 1 carry bag=Rs. 10 therefore, three of then cost Rs. 30

Overall CP of tomatoes=360+30=Rs. 390

SP of each dozen of tomatoes =Rs. 200

Therefore SP of three dozens=600

Profit percentage=(SP-CP)/CP*100%=(6))-390)/390*100%=210/390*100%=2100/39%=53.84%

**Question-6****Explanation**

**Ravi buys a second hand car for Rs. 2,00,000 He then repaints if for Rs. 2000 . He attaches new threading to all 4 tyres. Cost of threading per tyre is Rs. 200. At what price he should resell the car so that he gains 10%.**

**Options :**

a)Rs.223080

b)Rs.223090

c)Rs. 232080

d)Rs.223880

**Answer: ** ** A) 223080 **

Cost of second hand car =Rs. 2,00,000

Repainting cost =Rs. 2000

Cost of threadeing per tyre=Rs.200

Cost of threading for all tyres=Rs. 200*4=Rs.800

Total costs involved=Actual cost+Repainting costs+Threading costs=2,00,000+2000+800=202800

Profit percentage=10%=(SP-CP)/CP*100%

Or 10=%=(SP-202800)/2028

Or SP=20280+223080

**Question-7****Explanation**

**Suresh has four toys in his shop. He sells three toys at a profit percentage of 10%. What should be the profit percentage on his fourth tyoy so that his overall profit percentage jumps to 15%.**

**Options :**

a)20%

b)30%

c)15%

d)70%

**Answer: ** ** b)30% **

Let the CP of each toy be Rs. 100. Thherefore Cp on all 4 toys=Rs. 400.

SP on each of the first three toys=Rs. 110 ( as it is given that the profit percentage is 10)

Therefore sP of first three toys=Rs. 100*3=Rs.330

Let the profit percentage of 4th toy be P%

Therefore SP of fourth toy =Rs. 100+P

SP of all 4 toys=Rs.330+100+p=Rs. 430+p

Overall profit percentage =15%=sP of 4 toys-CP of 4 toys/CP of 4 toys*100%=430+p-400/400*100%

Or 15=30+p/4

Or 30+P=60

Or P=30

Therefore profit percentage on fourth toy=30%

**Question-8****Explanation**

**Thomas buys 4 washing machines at a cost of Rs. 20,000 per machine. He sells first machine at a profit percentage of 25% . What should be his loss percentage on remaining three washing machines so that his overall profit/loss on sale of all 4 machines is nil.**

**Options :**

a)Rs. 55050

b)Rs.55000

c)Rs.56000

d)Rs.50000

**Answer: ** ** b) Rs. 55000**

CP of all 4 machines = CP of each machine * 4=Rs. 20,000*4=Rs. 80,000

Profit percentage on first machine=25%

cP of first machine=Rs. 20,000

Therefore profit percentage=25%=SP-20000/20000*100%

Or 25=SP-20000/200

Or SP of first washing machine=25000

Let SP of remaining three machines be Rs. L

Therefore SP of all four machines=SP of first machine+ SP of remaining machines=25000+L

Profit percentage of all 4 machines=0%=SP of all 4- CP of all 4/CP of all 4*100%

Or 0=(25000+L-80000)/80000*100%

Or 0=25000+L-80000

Or L=Rs. 55000

**Question-9****Explanation**

**A seller sold his articles in two types such that three fourth at a profit of 10% and the remaining at loss of 2%. If the total profit was Rs. 1500, what was the total value of the articles?**

**Options :**

a)Rs. 20409

b)rs. 21009

c)Rs.21429

d)Rs. 21400

**Answer: ** ** c) Rs. 21429 **

Let the total value be Rs. X.

The value of 3/4 th = Rs. 3X/4 then the value of 1/4 th = Rs. X/4

Since he made a profit of 10% on 3X/4 and loss 2% on X/4.

Selling price =Rs. [110% of 3X/4]+[98% of X/4]=Rs. 330x/400+98x/400=Rs. 428X/400

Since the total cost price is Rs. X and the total profit is Rs.1500 then

Rs.428X/400-X=Rs.1500

28X=1500*400=Rs.6,00,000

X=6,00,000/28=Rs.21428.57=Rs.21429

Hence the answer is Rs. 21429

**Question-10****Explanation**

**Meera sold 8 keys and makes a profit equal to the selling price of 2 keys, what is the profit percentage?**

**Options :**

a)33(1/3)%

b)35(1/3)%

c)33%

d)35%

**Answer: ** ** a)33%(1/3) **

By observing the given data we can have

S.P of 8 keys-C.P of 8 keys=profit=s.P of 2 keys then

S.P of 6 keys=c.p of 8 keys —–eq 1

Let c.p of each key be Re.1

Then c.p of 8 keys=Rs.8

And s.p of 6 keys=Rs. 8(using eq 1)

Now, the percent profit is=(2/6*100)%=100/3%=33(1/3)%