**451**

**The length and breadth of a rectangle are in the ratio 5:4. Find its perimeter if its area is 180cm²**

**A. 54 cm (Answer)**

**B. 27 cm**

**C. 12 cm**

**D. 15 cm**

**452**

**In what ratio should the profit of Rs.8000 be divided if X starts a business with an investment** **of Rs. 20000, Y invests Rs.7500 for 4 months and Z invests Rs.15000 after 3 months from the** **start of the business.**

**1A. 16 : 2 : 3**

**B. 8 : 3 : 6**

**C. 16 : 2 : 9 (Answer)**

**D. 6 : 9 : 1**

**453**

**M:N = 3:4, N:O = 5:7 and O:P = 7:9. Then M:P =________**** choose which one is correct?**

**A. 1/3**

**B. 7/9**

**C. 5/12 (Answer)**

**D. None of these**

**454**

**The perimeter of a triangle is 81 cm. If the sides are in the ratio 4:3:2, find the length of the** **largest side.**

**A. 45 cm**

**B. 40 cm**

**C. 36 cm (Answer)**

**D. 27 cm**

**455**

**The ratio of boys and girls in a class was 11:13. 8 girls and 4 boys join the class from this** **academic year and the ratio becomes 4:5. Find the strength of the class.**

**A. 96**

**B. 68**

**C. 72**

**D. 108 (Answer)**

**456**

**A class has 90 students. If the ratio of boys and girls is 7:8, find the number of boys in the class.**

**A. 48**

**B. 42 (Answer)**

**C. 60**

**D. 70**

**457**

**In a partnership for a business, Changaz invests Rs.6000 for complete year & Nasir invests** **Rs.3000 for 6 months. What is Nasir’s share if they earn Rs.240 as profit choose which one is correct?**

**A. 120**

**B. 80**

**C. 192**

**D. 48 (Answer)**

**458**

**If x% of 200=y% of 250, find y:x.**

**A. 5:4**

**B. 5:2**

**C. 2:5**

**D. 4:5 (Answer)**

**459**

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

**A. 66**

**B. 48**

**C. 24 (Answer)**

**D. 8**

**460**

**Divide Rs.2000 into two shares in the ratio 3:2.**

**A. Rs.1200,Rs.800 (Answer)**

**B. Rs.800,Rs.1200**

**C. Rs.1500,Rs.500**

**D. Rs.1100, Rs.900**

**461**

**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 (Answer)**

**462**

**The third proportional to 3.5, 5.6 is:___________**** choose which one is correct?**

**A. 8.96 (Answer)**

**B. 8**

**C. 4.5**

**D. 6.2**

**463**

**According 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 choose which one is correct?**

**A. 360**

**B. 380**

**C. 375 (Answer)**

**D. 400**

**464**

**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 (Answer)**

**D. 5:7**

**465**

**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 choose which one is correct?**

**A. 3:1**

**B. 4:1 (Answer)**

**C. 3:4**

**D. 4:3**

**466**

**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 (Answer)**

**D. Rs.2000**

**467**

**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 (Answer)**

**468**

**Solve for x**

**2x:25 = 6:(x/3)**

**A. 18**

**B. 15 (Answer)**

**C. 12**

**D. 5**

**469**

**Two natural numbers whose sum is 72 cannot be in the ratio: (Answer)**

**A. 1:2**

**B. 3:5**

**C. 1:3**

**D. 3:4 (Answer)**

**470**

**A journey of 750 km was covered partly by car(x km) and partly by train(y km). If the distance** **travelled by train was 150 km more than the distance travelled by car, find x:y.**

**A. 2:3 (Answer)**

**B. 3:2**

**C. 3:4**

**D. 4:3**

**471**

**p is 50% more than q. Find the ratio of p to q.**

**A. 3:2 (Answer)**

**B. 1:2**

**C. 1:5**

**D. 2:1**

**472**

**The sum of squares of three numbers is 280. If the numbers are in the ratio 3:5:6, find the** **greatest number.**

**A. 8**

**B. 6**

**C. 12 (Answer)**

**D. 18**

**473**

**If a flat costs Rs.4500 per sq. ft, and a commercial space costs Rs.9500 per sq. ft, then what is** **the ratio of their areas if the total cost of both are the same choose which one is correct?**

**A. 9:19**

**B. 19:9 (Answer)**

**C. 15:28**

**D. 28:15**

**474**

**The sum of three numbers is 172. The ratio of the first and second numbers is 8:11. The ratio** **of the second and third is 5:7. Find the second number.**

**A. 44**

**B. 55 (Answer)**

**C. 66**

**D. 77**

**475**

**4 singers, 5 dancers and 3 comperes divide an amount of Rs.130000 among themselves such** **that 3 comperes get as much as 2 dancers and 3 dancers get as much as 2 singers. Find the** **amount received by a singer.**

**A. Rs.18000**

**B. Rs.13000**

**C. Rs.15000 (Answer)**

**D. Rs.10000**

**476**

**The sum of cubes of two numbers is 280. If the numbers are in the ratio 2:3, find the smallest** **number.**

**A. 4 (Answer)**

**B. 6**

**C. 3**

**D. 2**

**477**

**Find the value of x when y = 5, if x varies directly as 4y-1 and x = 14 when y = 2.**

**A. 38 (Answer)**

**B. 35**

**C. 10**

**D. 28**

**478**

**The number of seats available for Biology and Computer Science in a school is in the ratio 5:8.** **They are to be increased by 30% and 25% . Find the new ratio.**

**A. 6:10**

**B. 13:20 (Answer)**

**C. 3:4**

**D. 35:33**

**479**

**A:B=2:3, B:C=3:4, A:D=4:5. Find C:D. (Answer)**

**A. 2:5**

**B. 4:5**

**C. 6:5**

**D. 8:5 (Answer)**

**480**

**Find the fourth proportion to 3, 7 and 9.**

**A. 63**

**B. 31**

**C. 21 (Answer)**

**D. 27**

**481**

**If 40% of a number is equal to two-third of another number, what is the ratio of first number**

**to the second number **** choose which one is correct?**

**A. 2 : 5**

**B. 3 : 7**

**C. 5 : 3 (Answer)**

**D. 7 : 3**

**482**

**Seats for Mathematics, Physics and Biology in a school are in the ratio 5 : 7 : 8. There is a** **proposal to increase these seats by 40%, 50% and 75% respectively. What will be the ratio of** **increased seats choose which one is correct?**

**A. 2 : 3 : 4 (Answer)**

**B. 6 : 7 : 8**

**C. 6 : 8 : 9**

**D. None of these**

**483**

**In a bag, there are coins of 25 p, 10 p and 5 p in the ratio of 1 : 2 : 3. If there is Rs. 30 in all,** **How many 5 p coins are there choose which one is correct?**

**A. 50**

**B. 100**

**C. 150 (Answer)**

**D. 200**

**484**

**Two numbers are in the ratio 3 : 5. If 9 is subtracted from each, the new numbers are in the** **ratio 12 : 23. The smaller number is :________ choose which one is correct?**

**A. 27**

**B. 33**

**C. 49 (Answer)**

**D. 55**

**485**

**Two numbers are respectively 20% and 50% more than a third number. The ratio of the two** **numbers is :__________ choose which one is correct?**

**A. 2 : 5**

**B. 3 : 5**

**C. 4 : 5 (Answer)**

**D. 6 : 7**

**486**

**A sum of money is to be distributed among A, B, C, D in the proportion of 5 : 2 : 4 : 3. If C gets** **Rs. 1000 more than D, what is B’s share choose which one is correct?**

**A. Rs. 500**

**B. Rs. 1500**

**C. Rs. 2000 (Answer)**

**D. None of these**

**487**

**The ratio of the number of boys and girls in a college is 7 : 8. If the percentage increase in the** **the number of boys and girls will be 20% and 10% respectively, what will be the new ratio choose which one is correct?**

**A. 8 : 9**

**B. 17 : 18**

**C. 21 : 22 (Answer)**

**D. Cannot be determined**

**488**

**The sum of three numbers is 98. If the ratio of the first to the second is 2 : 3 and that of the** **second to the third is 5 : 8, then the second number is :__________ choose which one is correct?**

**A. 20**

**B. 30 (Answer)**

**C. 48**

**D. 58**

**489**

**If the number obtained on interchanging the digits of a two-digit number is 18 more than the** **original number and the sum of the digits is 8, then what is the original number choose which one is correct?**

**A. 26**

**B. 35 (Answer)**

**C. 53**

**D. Cannot be determined**

**490**

**A two-digit number is such that the product of the digits is 8. When 18 is added to the number,** **then the digits are reversed. The number is :_________ choose which one is correct?**

**A. 18**

**B. 24 (Answer)**

**C. 42**

**D. 81**

**491**

**Find the number which when multiplied by 15 is increased by 196.**

**A. 14 (Answer)**

**B. 20**

**C. 26**

**D. 28**

**492**

**The sum of the squares of three numbers is 138, while the sum of their products taken two at** **a time is 131. Their sum is :___________ choose which one is correct?**

**A. 20 (Answer)**

**B. 30**

**C. 40**

**D. None of these**

**493**

**Three numbers are in the ratio of 3 : 4 : 6 and their product is 1944. The largest of these** **numbers is :___________ choose which one is correct?**

**A. 6**

**B. 12**

**C. 18 (Answer)**

**D. None of these**

**494**

**If the sum of a number and its square is 182, what is the number **** choose which one is correct?**

**A. 15**

**B. 26**

**C. 28**

**D. 13 (Answer)**

**495**

**The sum of two numbers is 25 and their ****difference is 13. Find their product :**

**A. 104**

**B. 114 (Answer)**

**C. 315**

**D. 325**

**496**

**If the sum of two numbers is 33 and their difference is 15, the smaller number is :__________**** choose which one is correct?**

**A. 9 (Answer)**

**B. 12**

**C. 15**

**D. 18**

**497**

**A man goes to his office from his house at a speed of 3 km/hr and returns at a speed of 2** **km/hr. If he takes 5 hours in going and coming, what is the distance between his house and** **office choose which one is correct?**

**A. 3 km**

**B. 4 km**

**C. 5 km**

**D. 6 km (Answer)**

**498**

**A man completes a journey in 10 hours. He travels first half of the journey at the rate of 21** **km/hr and second half at the rate of 24 km/hr. Find the total journey in km.**

**A. 121 km**

**B. 242 km**

**C. 224 km (Answer)**

**D. 112 km**

**499**

**A man covers a distance of 20 km in 3.5 hours partly by running and partly by walking. If he** **walks at 4 kmph and runs at 10 kmph, find the distance he covers by walking. (Answer)**

**A. 10 km (Answer)**

**B. 8 km**

**C. 12 km**

**D. 9 km**

**500**

**Rayan crosses a 400m bridge in 3 minutes. What is speed**** choose which one is correct?**

**A. 133.33 kmph**

**B. 1.33 kmph**

**C. 4 kmph**

**D. 8 kmph (Answer)**