451

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

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

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

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

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

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

458

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

A. 5:4

B. 5:2

C. 2:5

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

D. 8

460

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

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

462

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

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

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

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

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

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

468

Solve for x

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

A. 18

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

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.

B. 3:2

C. 3:4

D. 4:3

471

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

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

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

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

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

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.

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.

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

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

480

Find the fourth proportion to 3, 7 and 9.

A. 63

B. 31

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

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

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

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

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

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

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

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

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

C. 42

D. 81

491

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

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?

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

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

495

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

A. 104

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?

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

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

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)

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