**661. A bag contains 1 rupee, 2 rupee and 5 rupee coins amounting to Rs.264. If the ratio of the number of these coins is 3:5:4, find the number of 1 rupee coins.**

A. 66

B. 48**C. 24**

D. 8

**Explanation:****Let the number of 1 rupee, 2 rupee and 5 rupee coins be 3x, 5x and 4x. (1*3x)+(2*5x)+(5*4x)=264 3x+10x+20x=264 33x=264 x=8 No. of 1 rupee coins****= 3x = 24**

**662. Divide Rs.2000 into two shares in the ratio 3:2.****A. Rs.1200,Rs.800**

B. Rs.800,Rs.1200

C. Rs.1500,Rs.500

D. Rs.1100, Rs.900

**Explanation:****3x+2x=2000 5x=2000 x=400 3x=1200 2x=800**

**663. The ratio of two numbers is 5:9. If each number is decreased by 5, the ratio becomes 5:11. Find the numbers.**

A. 30, 19

B. 21, 37

C. 15, 34**D. 15, 27**

**Explanation:****Let the two numbers be 5x and 9x.****(5x-5)/(9x-5) = 5:11****(5x-5)*11 = (9x-5)*5****55x – 55 = 45x – 25****10x = 30****x = 3****Therefore, the numbers are 15 and 27.**

**664. The third proportional to 3.5, 5.6 is:___________?****A. 8.96**

B. 8

C. 4.5

D. 6.2

**Explanation:****3.5/5/6 = 5.6/x ; x = 5.6 * 5.6 / 3.5 = 8.96**

**665.mAccording to a recipe, 400 grams of flour should be mixed with 500 grams of sugar to bake cookies. If I have only 300 grams of flour, how much sugar should I mix to maintain the same proportion?**

A. 360

B. 380**C. 375**

D. 400

**Explanation:****Flour and sugar have to mixed in the ratio 4:5 4:5::300:x 4x=1500 x=375 375 grams of sugar should be mixed.**

**666. X, Y and Z are quantities of the same kind such that X:Y=5:8 and Y:Z=4:7. Find X:Z.**

A. 32:35

B. 67:56**C. 5:14**

D. 5:7

**Explanation:****X:Z=(X:Y)*(Y:Z) =(5:8)*(4:7) = (5/8)*(4/7) = 5/14**

**667. Two kinds of rice, 1st costs Rs.13 per kg and 2nd costs Rs.19 per kg are mixed together. Find the ratio in which the 2 types are mixed so that the mixture costs Rs.14.2 per kg?**

A. 3:1**B. 4:1**

C. 3:4

D. 4:3

**Explanation:****Let the total quantity of mixture be 1. If quantity of 1st type is x then quantity of the 2nd type will be (1-x)****Therefore, 13x + 19(1-x) = 14.2****13x -19x + 19 = 14.2****4.8 = 6x****x = 0.8 ; (1-x) = 0.2****Therefore, the ratio is 0.8 : 0.2 = 4:1**

**668. A, B, C and D divide a sum of money among themselves in the ratio 7:4:3:2. If D gets Rs. 500 less than A, find the total amount.**

A. Rs.100

B. Rs.700**C. Rs.1600**

D. Rs.2000

**Explanation:****Let the amount be divided into 7x,4x,3x and 2x.****7x-2x = 500 5x=500 x = 100****Total amount = 7x+4x+3x+2x = 16x = Rs.1600**

**669. x is 20% more than z and y is 80% more than z. Find x:y.**

A. 1:4

B. 3:4

C. 1:3**D. 2:3**

**Expanation:****x = z+(20/100)z = 1.2z y = 1.8z x:y = 1.2z:1.8z = 12:18 = 2:3**

**670. Solve for x****2x:25 = 6:(x/3)**

A. 18**B. 15**

C. 12

D. 5

**Explanation:****2x/25 = 6/(x/3) 2x/25 = 18/x 2x*x = 18*25 x² = 9*25 x=3*5 x=15**

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