**1. If A, B, C and D are four numbers such that A:B=2:3, B:C=4:5,C:D=5:8, then A:D is equal to-**

**A. 1:3**

B. 3:1

C. 2:3

D. 3:2

**(A/D= A/B × B/C ×C/D= 2×4×5/3×5×8 = 1/3 ans)**

**2. Anita bought some pencils, erasers and papers from a stationary shop. If the ratio of the pencils and the erasers is the same as that of erasers and graph papers and she bought 10 pencils and 40 papers . Find the number of eraser bought by her?**

A. 10

**B. 20**

C. 45

D. 55

**(Let no. of eraser be x, then**

**10:x = x:40……10/x=x/40**

**X^2 = 40 × 10= 400**

**X = 20 ans)**

**3. Two positive numbers x and y are inversely proportional. If x increases by 10% , then y decreases by-**

A. 20%

B. 5/11%

**C. 100/11%**

D. 7/8%

**(Required decrease = (a/a+100) × 100%**

**(10/10+100) × 100 = 100/11% ans )**

**4. Which of the fractions is the least?**

A. 99/100

B. 24/25

C. 68/69

**D. 10/11**

**(since the difference between the numerator and denominator is 1 . Therefore, least the numerator in all the rational numbers is least fraction )**

**5. A large basket of vegetables contain 3 lemon, 2 tomatoes and 5 capsicums. If a piece of vegetable is chosen at random , what is the probability of getting lemon or a capsicums?**

A. 8/7

B. 7/10

**C. 4/5**

D. 4/7

**(Total vegetables= 3+2+5= 10**

**P(getting lemon or capsicums)= 3/10+ 5/10 = 8/10 i.e 4/5 ans)**

**6. In how many years will a sum of money becomes double at 5% per annum SI?**

A. 12 yr

B. 15 yr

C. 24 yr

**D. 20 yr.**

**(Let P= x , A= 2x**

**S.I = A-P…. 2x- x = x**

**S.I= x**

**Also, S.I= PRT/100**

**X= x*5*T/100……. T=20 yrs )**

**7. A farmer sells his two cows. On one, he gains 25% and on the other, he loses 25% .Find his gain or loss % in the whole transaction?**

A. 6.25% profit

**B. 6.25% loss**

C. neither profit nor loss

D. none of these

**( In such cases, always loss is incurred.**

**a^2/100% = (25)^2/100**

**625/100= 6.25% loss)**

**8. A chair is bought for Rs. 3000 and sold at loss of 6%. Find its selling price.**

A. 2846 Rs

B. 2375 Rs

C. 2795 Rs

**D. 2820 Rs**

**(S.P= 100-L% x C.P**

**94/100 x 3000 = 2820 Rs)**

**9. Sum of 9 numbers is 243. Find the average of these 9 numbers.**

A. 26

**B. 27**

C. 28

D. 30

**(Average= sum of 9 no.s/9**

**243/9= 27)**

**10. The average age of 25 boys in a class decreases by 6 months when a new boy takes the place of a 20 yr old boy . Find the age of a new boy.**

A. 7 yr

**B. 7.5 yr**

C. 8 yr

D. 9 yr

**(25×1/2=12.5**

**New boy age = 20 – 12.5= 7.5 yr )**