SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Quiz In Class

Title: Measurment

Grade: Best-SAT3 Lesson: S4-P2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: in Class

Problem Id	Problem	Options
1	What is the compound ratio of 6 : 8, the duplicate ratio of 5 : 10, the triplicate ratio of 8 : 2, and the ratio 3 : 7?	A) 9 : 14 B) 9 : 17 C) 7 : 14 D) 13 : 11
2	Three numbers have a sum of 205. The ratio of the first number to the second number is 4:7, and the ratio of the second number to the third number is 8:5. Find the third number.	A) 57 B) 38.5 C) 45.26 D) 58.3
3	In a class of 40 students, 8 like basketball and 14 like cricket. The remaining students like football. Find the ratios: (a) The ratio of students liking basketball to students liking football. (b) The ratio of students liking cricket to the total number of students.	A) 5:7 7:20 B) 4:9 7:20 C) 7:20 4:9 D) 5:8 20:7
4	What least common number must be subtracted from each of the numbers 15, 18, 24 and 46 so that the remainders may be proportional?	A) 14.57 B) 12.45 C) 13.57 D) 13
5	What is the mean proportional between 45.5 and 12.3?	A) 23 B) 24.12 C) 32.56 D) 23.65
6	If x:y=5:8, find (12x+14y):(14x-8y)	A) \$8/36\$ B) \$3/86\$ C) \$86/3\$ D) \$76/3\$
7	A and B initially invest Rs 6500 and Rs 9500, respectively, in a business. After 4 months, A withdraws half of his initial investment, while B withdraws half of his initial investment after 6 months. At the same time, C joins the business with a capital of Rs 165000. What is the profit-sharing ratio among A, B, and C?	A) 52 : 131 : 99 B) 52 : 113 : 99 C) 131 : 52 : 99 D) 99 : 131 : 52
8	Raju, Ravi, and Ramu have incomes in the ratio 1:2:3. Their expenditures are in the ratio 2:3:4, respectively. If Raju saves Rs. 1000 out of his income of Rs. 50000, how much does Ramu save?	A) Rs. 49000 B) Rs. 52000 C) Rs. 51500 D) Rs. 47500
9	If the duplicate ratio of a:b is (a+x):(b+x), what is the value of x?	A) \$x = "ab"/(a - b)\$ B) \$x = - "ab"/(a - b)\$ C) \$x = - "ab"/(a + b)\$ D) \$x = "ab"/(a + b)\$
10	Given that a man travels a long journey using train, bus, and rickshaw in the ratio 8:9:5, and the corresponding fares are in the ratio 4:6:3. The total expenditure for the journey is 808 units. What was the expenditure specifically on the bus?	A) 432 B) 423 C) 234 D) 324

Problem Id

Problem

Options

What is the compound ratio of 6 : 8, the duplicate ratio of 5 : 10, the triplicate ratio of 8 : 2, and the ratio 3 : 7?

A) 9 : 14

B) 9 : 17

C) 7 : 14

D) 13 : 11

Three numbers have a sum of 205. The ratio of the first number to the second number is 4:7, and the ratio of the second number to the third number is 8:5. Find the third number.

A) 57

B) 38.5

C) 45.26

D) 58.3

In a class of 40 students, 8 like basketball and 14 like cricket. The remaining students like football. Find the ratios:
(a) The ratio of students liking basketball to students liking football.
(b) The ratio of students liking cricket to the total number of students.

A) 5:7
7:20

B) 4:9
7:20

C) 7:20
4:9

D) 5:8
20:7

What least common number must be subtracted from each of the numbers 15, 18, 24 and 46 so that the remainders may be proportional?

A) 14.57

B) 12.45

C) 13.57

D) 13

What is the mean proportional between 45.5 and 12.3?

A) 23

B) 24.12

C) 32.56

D) 23.65

If x:y=5:8, find (12x+14y):(14x-8y)

A) \$8/36\$

B) \$3/86\$

C) \$86/3\$

D) \$76/3\$

A and B initially invest Rs 6500 and Rs 9500, respectively, in a business. After 4 months, A withdraws half of his initial investment, while B withdraws half of his initial investment after 6 months. At the same time, C joins the business with a capital of Rs 165000. What is the profit-sharing ratio among A, B, and C?

A) 52 : 131 : 99

B) 52 : 113 : 99

C) 131 : 52 : 99

D) 99 : 131 : 52

Raju, Ravi, and Ramu have incomes in the ratio 1:2:3. Their expenditures are in the ratio 2:3:4, respectively. If Raju saves Rs. 1000 out of his income of Rs. 50000, how much does Ramu save?

A) Rs. 49000

B) Rs. 52000

C) Rs. 51500

D) Rs. 47500

If the duplicate ratio of a:b is (a+x):(b+x), what is the value of x?

A) \$x = "ab"/(a - b)\$

B) \$x = - "ab"/(a - b)\$

C) \$x = - "ab"/(a + b)\$

D) \$x = "ab"/(a + b)\$

Given that a man travels a long journey using train, bus, and rickshaw in the ratio 8:9:5, and the corresponding fares are in the ratio 4:6:3. The total expenditure for the journey is 808 units. What was the expenditure specifically on the bus?

A) 432

B) 423

C) 234

D) 324