**Question 1 :**

Suman studies for 17/3 hours daily. She devotes 14/5 hours of her time for Science and Mathematics. How much time does she devote for other subjects?

(A) 23/15 (B) 43/15 (C) 14/15

**Solution :**

Time devoted by her for Science and Mathematics

= 14/5

Total times of Suman's study = 17/3

Thus, time devoted by her for other subjects

= 17/3 - 14/5

= (85 - 42)/15

= 43/15

**Question 2 :**

If A + B = √8 and A - B = √5, what is A ⋅ B is ?

(A) 5/4 (B) 8/7 (C) 3/4

**Solution :**

**A + B = √8 ---(1)**

**A - B = √5**** ---(2)**

**(1) + (2) ==> 2A = ****√8 + ****√5**

**A = (****√8 + ****√5)/2**

**(1) - (2) ==> 2B = ****√8 - ****√5**

**B = (****√8 - ****√5)/2**

** A **⋅

**= (****√8 ^{2} - **

**= (8 - 5)/4**

**= 3/4**

So, the value of **A **⋅** B is 3/4.**

**Question 3 :**

In a class of 35 students, 7 students were absent on a particular day. What percentage of the students were absent?

(A) 50% (B) 33% (C) 20%

**Solution :**

Total number of students = 35

Number of students absent = 7

Percentage of students were absent

= (7/35) 100

= (1/5) 100

= 20%

**Question 4 :**

The last two digits of of 5^{2003} is

(A) 30 (B) 50 (C) 25

**Solution :**

5 5 5 |
5 5 5 |

The last two digits of the expansion will be 25.

**Question 5 :**

Calculate the unit digit of 12^{3}

(A) 4 (B) 6 (C) 8

**Solution :**

12^{3} = 12 **⋅ **12 **⋅** 12

The of unit digit of 12 is 2. If we multiply 2 three times, we will get 8.

So, the unit 12^{3} is 8.

**Question 6 :**

What is the complementary angle of 35 degree

(A) 65 (B) 75 (C) 55

**Solution : **

Complementary angles means sum of those angles would be 90 degree.

Let "x" be the unknown angle

x + 35 = 90

Subtract 35 on both sides

x = 90 - 35

= 55

So, the complementary angle of 35 degree is 55.

**Question 7 :**

The sum of 2 consecutive integers is 75. Find the numbers.

(A) 37 and 38 (B) 47 and 28 (C) 28 and 37

**Solution :**

let x and x + 1 be two consecutive numbers

x + x + 1 = 75

2x + 1 = 75

Subtract both sides by 1

2x = 74

Divide both sides by 2

x = 74/2 = 37

So, the required numbers are 37 and 38.

**Question 8 :**

The percentage of literacy in a village is 47%. Find the number of illiterates in the village, if the population is 7,500.

(A) 6 (B) 8 (C) 5

**Solution :**

Total population = 7500

Percentage of illiterates = 47

Number of illiterates = 47% of 7500

= (47/100) ⋅ 7500

= 47 (75)

= 3525

So, the number of illiterates is 3525.

**Question 9 :**

The area of a trapezium is 102 sq. cm and its height is 12 cm. If one of its parallel sides is 8 cm. Find the length of the other side.

(A) 12 cm (B) 9 cm (C) 22 cm

**Solution :**

Area = 102 cm^{2}, h = 12 cm, a = 8 cm.

Area of a trapezium = 102

(1/2) h (a + b)= 102

(1/2) (12) (a + b)= 102

6 (8 + b) = 102

8 + b = 17 ==> b = 17 – 8 = 9

length of the other side = 9 cm

**Question 10 :**

Find out the circumference of a circle whose radius is 3.5 m.

(A) 22 m (B) 32 m (C) 42 m

**Solution :**

r = 3.5 m

Circumference of a circle = 2∏ r

= 2 ⋅ (22/7) ⋅ 3.5

= 22 m

So, the circumference of the circle is 22 m.

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 our 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**