Question 1 :
A certain freezing process requires that room temperature be lowered from 40°C at the rate of 5° C every hour. What will the room temperature 10 hours after the process begins?
(A) -4°C (B) -10°C (C) -3°C
Room temperature = 40°C
It reduces the temperature level at the rate of 5°C per hour.
In one hour the temperature will become = 40 - 5 = 35
In two hours the temperature will become = 35-5 = 30
In ten hours the temperature will become = 40 - (10⋅5)
= 40 - 50
Hence room temperature after 10 hours is -10°C.
Question 2 :
In a class of 40 students 1/5 of the total number of students like to study English. Then how many students like to study English?
(A) 5 (B) 8 (C) 10
Total number of students in the class = 40
In which 1/5 of the students would like to study English.
Number of students who would like to study English
= (1/5) of 40
= (1/5) ⋅ 40
Hence the number of students who would like to study English is 8.
Question 3 :
A two wheeler covers a distance of 55.3 km in one liter of petrol. How much distance will it cover in 10 liters of petrol?
(A) 553 km (B) 524 km (C) 320 Km
Distance covered by two wheeler by consuming 1 liter petrol
= 55.3 km
Distance covered by two wheeler by consuming 10 liter petrol
= 55.3 (10)
= 553 km
Question 4 :
The ages in years of 10 teachers of a school are : 32, 41, 28, 54, 35, 26, 23, 33, 38, 40. What is the range of ages of the teachers?
(A) 31 years (B) 38 years (C) 40 years
Range = L - S
Largest number = 54
Smallest number = 26
Range = 54 - 26 = 28
So, the range is 28.
Question 5 :
Find the value of p in the following equation 10p + 10 = 100
(A) 8 (B) 9 (C) 10
10 p + 10 = 100
Subtract 10 on both sides
10 p = 90
Divide by 10 on both sides
p = 90/10 = 9
So, the value of p is 9.
Question 6 :
The teacher tells the class that the highest marks obtained by a student in her class is twice the lowest marks plus 7 . The highest score is 87.What will be the lowest score?
(A) 40 (B) 32 (C) 55
Let "x" be the lowest mark
Highest mark obtained by the student = 2x + 7
2x + 7 = 87
Subtract 7 on both sides
2x = 87 - 7
2x = 80
Divide 2 on both sides
x = 80/2 = 40
So, the highest mark is 40.
Question 7 :
Find the angle x in the following picture.
(A) 70° (B) 100° (C) 50°
Corresponding angles are equal.
So, the required angle is 100°.
Question 8 :
In triangle ABC right angled at C. If AC = 5 cm and BC = 12 cm find the length of AB.
(A) 12 cm (B) 18 cm (C) 13 cm
In a right triangle ABC,
AB2 = AC2 + BC2
AB2 = 122 + 52
AB2 = 144 + 25
AB2 = 169
AB = √169 = 13 cm
So, the length of hypotenuse side is 13 cm.
Question 9 :
Find the percent of the following picture which is colored.
(A) 37.5 % (B) 25.8 % (C) 50 %
Out of 8 equal parts 3 parts are shaded
Percentage of the following picture which is colored
= (3/8) ⋅ 100
Question 10 :
The perimeter of a rectangle is 130 cm. If the width of the rectangle is 30 cm, find the area of the rectangle.
(A) 6400 cm2 (B) 1050 cm2 (C) 3000 cm2
Perimeter of a rectangle = 130 cm
width = 30 cm
2(l + w) = 130
l + w = 65
l + 30 = 65
Subtract 30 on both sides
l = 65 - 30
L = 35 cm
Area of rectangle = L ⋅ w
= 35 ⋅ 30
= 1050 cm2
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