Maths Quiz 29/1/2016

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1. The compound interest on a sum for 2 years is Rs. 832 and the simple interest on the same sum for the same period is Rs. 800. The difference between the compound and simple interest for 3 years will be?

A) 66.67

B) 36

C) 98.56

D) 60

E) 33.33

2. A letter is chosen at random from the word 'ASSASSINATION'. What is the probability that it is a consonant?

A) 7/13

B) 9/13

C) 2/13

D) 5/13

E) 10/13

3.  If the compound interest on a certain sum for 2 years in Rs. 80.80 and the simple interest Rs. 80; then the rate of interest per annum is?

A) 1 %

B) 2 %

C) 3 %

D) 4 %

E) 5 %

4.  A person invested in all Rs. 2600 at 4%, 6% and 8% per annum simple interest. At the end of the year, he got the same interest in all three cases. The money invested at 4% is:?

A) 1000

B) 1500

C) 1800

D) 1200

E) 2000

5. Two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . If they cross each other in 23 seconds, what is the ratio of their speeds?

A) 1:2

B) 2:3

C) 3:2

D) 3:4

E) 4:3

6. Two employees X and Y are paid a total of Rs. 550 per week by their employer. If X is paid 120 percent of the sum paid to Y, how much is Y paid per week?

A) Rs. 100

B) Rs. 150

C) Rs. 200

D) Rs. 225

E) Rs. 250

7.  In a competitive examination in State A, 6% candidates got selected from the total appeared candidates. State B had an equal number of candidates appeared and 7% candidates got selected with 80 more candidates got selected than A. What was the number of candidates appeared from each State?

A) 6667

B) 7500

C) 8000

D) 8500

E) 9996

8. Prashant bought a car and paid 10 % less than the original price. He sold it  to Vartika with 30% profit on the price he had paid. What percentage of profit did he earn on the original price?

A) 14%

B) 15%

C) 6.67%

D) 17%

E) 20%

9. A man purchased 30 kg of rice at the rate of Rs. 17.5. per kg and another 30 kg rice at a certain rate. He mix the two and sold the entire quantity at the rate of Rs. 18.60/kg and made 20%overall profit.At what Price per kg did he purchased the lot of another 30 kg rice?

A) Rs.20

B) Rs.16.67

C) Rs. 17

D) Rs. 13.50

E) Rs. 25

10. A and B can finish a work 30 days if they work together. They worked together for 20 days and then B left. A finished the remaining work in another 20 days. In how many days A alone can finish the work?

A) 40

B) 50

C) 55

D) 60

E) 45

Answers:

1. C
2. A
3. B
4. D
5. C
6. E
7. C
8. D
9. D
10.D

1.Dfrnc of ci si for 2yrs is 32 as gvn and roi is 8%

Roi=(432-400)/400*100=8%
Now,
Gvn (p*r^2)/100^2=32
And diff of ci si for 3yrs
=p*r^2(r+300)/100^3

Now u cn calculate easly its 98.56 exact

solution )QUES 1

Given that simple interest for 2 years is Rs.800

i.e., Simple interest for 1st year is Rs.400
and simple interest for 2nd year is also Rs.400

Compound interest for 1st year will be 400
and Compound interest for 2nd year will be 832 - 400 = 432

you can see that compound interest for 2nd year is more than simple interest for 2nd year by 432 - 400 = Rs.32

i.e, Rs. 32 is the interest obtained for Rs.400 for 1 year

Rate, R = 100×SIPT=100×32400×1=8%

Difference between compound and simple interest for the 3rd year
= Simple Interest obtained for Rs.832

=PRT100=832×8×1100=Rs. 66.56

Total difference between the compound and simple interest for 3 years
= 32 + 66.56 = Rs.98.56

3.3rd shortcut

80.80/80=200+r/200
==>202-200=r
so r=2%

4.a=4%, b=6%,c=8%,
2a:3b:4c
A(1+2/3+1/2)=2600
A(13/6)=2600
A=1200

5th sol-
v1 = d1/27
v2 = d2/17
v1 + v2 = d1+d2/23
v1 + v2 = (27v1 + 17v2)/23
23v1+ 23v2 = 27v1 + 17v2
4v1 = 6v2
v1/v2 = 3/2 = 3:2

9.9th sol

1.2x = 18.6
x = 15.5
1/1 = (17.5-15.5)/(15.5-a)

a =13.5

17.5     X

      15.5
1              1

find x=13.5

9th
Mixture ki quantity 60kg rate 18.6 so sell krne per total mile 1116 rs 20% ka profit kamane k bad so 120%=1116
100%=930 ye h uski cost price
930-(30*17.5) =930-525=405 ye aaya dusre 30kg ka total price so price per kg=405/30
=13.5

10.10th

A or B 30 din me X work karte h
20 din tak sath work krte h :)
10 din or kr skte the but B thak gya yani10/30=1/3 work bacha
Jo A ne 20 din me kiya
1/3 work A ne 20 din me kia
Total work A 20*3=60 din(days) me krega
:)

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