**Question 1 :**

.Find the value of 664.02 ÷ 9.3

(A) 71.4 (B) 19.2 (C) 6.11

**Solution :**

= 664.02 / 9.3

In order to remove the decimal point, we have to multiply both numerator and denominator by 100.

= (664.02 / 9.3 ) ⋅ (100/100)

= 66402/930

= 714/10

= 71.4

**Question 2 :**

Let A be the sum of seven 7's. Let B be the sum of seven A's. Then find the value of B?

(A) 175 (B) 781 (C) 343

**Solution :**

A = Sum of seven 7's

A = (7 + 7 + 7 + 7 + 7 + 7 + 7)

A = 49

B = the sum of seven A's

B = 7(49)

= 343

So, the value of B is 343.

**Question 3 :**

In triangle ABC, BC = 4 and CA = 6. If the perimeter of the triangle is 4 times the length of side BC, what will be the length of AB?

(A) 8 (B) 6 (C) 7

**Solution :**

Perimeter of triangle = sum of length of all sides

4(BC) = AB + BC + CA

4(4) = AB + 4 + 6

16 = AB + 10

Subtract both sides by 10

16 - 10 = AB

So, the value of AB is 6 cm

**Question 4 :**

David is 7 feet and 5 inches tall. His basketball hoop is 10 feet from ground. Given that there are 12 inches in a foot, how many inches should he jump to touch the hoop with his head?

(A) 35 (B) 31 (C) 38

**Solution :**

Height of David = 7 feet 5 inches

David's height in inches = 7(12) + 5

= 89 inches

Height of basketball's hoop from ground = 10 feet

= 10 (12) = 120 inches

Number of inches which he has to cover = 120 - 89

= 31 inches

**Question 5 :**

Cameroon has 3 triangles and 6 pentagons. If R is being the total number of sides of the shapes and S be the number of shapes he has, then S + R is

(A) 48 (B) 50 (C) 52

**Solution :**

Number of triangles = 3

Number of sides in 3 triangles = 3(3) = 9

Number of triangles = 6

Number of sides in 6 pentagon = 6(5) = 30

R = 9 + 30 = 39

S = 39 + 9

= 48

So, the answer is 48.

**Question 6 :**

Arnold would like to get at least 90% of math competition problems correct. However, he had only answered 20 out of 50 correctly so far this year. What is the least number of problems that he needs to solve in the future in order to reach 90%?

(A) 250 (B) 321 (C) 310

**Solution :**

Percentage of marks he has scored so far

= (20/50) x 100

= 40%

40% of 50 = 20

90% of 50 = ?

= (90/100) x 50

= 45 question

From this we come to know that he has to give correct answers for 45 question out of 50 questions.

**Question 7 :**

Find the ratio of 250g to 10kg

(A) 1:50 (B) 40:1 (C) 1:40

**Solution :**

In order to write the given numbers as ratio, we need to change the given quantities in the same kind.

10 kg = 10 (1000)

= 10000 grams

= 250 : 10000

= 250/10000

= 40 : 1

**Question 8 :**

In 2010, the population of a town is 1,50,000. If it is increased by 10% in the next year, find the population in 2011.

(A) 185000 (B) 165000 (C) 1,25,000

**Solution :**

Population in 2010 = 1,50,000

Increase in population = (10/100) **⋅ **150000

= 15000

Population in 2011 = 150000 + 15000

= 165000

**Question 9 :**

A company wishes to simultaneously promote two of its 6 department heads out of 6 to assistant managers. In how many ways these promotions can take place ?

**Solution :**

By using the concept combinations, we may solve this problem.

^{6} C _{2} = (6 **⋅ **5) / 2

^{6} C _{2} = 30 / 2

^{6} C _{2} = 15

So, the answer is 15 ways.

**Question 10 :**

John got 66 marks out of 75 in Mathematics and 72 out of 80 in Science. In which subject did he score more ?

(A) 7 (B) 3 (C) 8

**Solution :**

**Percentage of marks in the subject math**

** = (66/75) ****⋅ **100

= 88%

**Percentage of marks in the subject science**

** = (72/80) ****⋅ **100

= 90%

He has scored more marks in science.

If you need any other stuff in math, please use our google custom search here.

HTML Comment Box is loading comments...

You can also visit the following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**