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A student scoring 20% marks in an examination fails by 30 marks. But another student who scores 32% marks scores 42 marks more than the marks required to pass. Find the maximum number of digits.
Given:
20% marks = Pass marks - 30 marks.
32% marks = pass marks + 42 marks pass.
Calculation:
Let the total number of exam is 100 units
As per the question,
32 - 20 units = 42+30
⇒ 12 units = 72
⇒ 100 units = 600
∴ The correct option is 1
A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm. What is the volume of this hollow sphere?
A hollow sphere has an outer radius of 6 cm and inner radius of 3 cm.
Outer radius (R) = 6 cm
Inner radius (r) = 3 cm
Formula:
Volume of the hollow sphere
∴ The volume of the given hollow sphere is 252 p cm3.
Confusion Points
(π = p) As per the Official Question paper given in exam.
ΔABC is similar to ΔPQR. If the ratio of the perimeter of ΔABC and perimeter of ΔPQR is 24 : 16 and PQ = 4.8 cm. then the length (in cm) of AB is:
Given:-
ΔABC ∼ ΔPQR and PQ = 4.8 cm
Perimeter of ΔABC/Perimeter of ΔPQR = 3:2
Formula used:-
Perimeter of ΔABC/Perimeter of ΔPQR = AB/PQ = BC/QR = AC/PR
Calculation:-
According to the question -
⇒ Perimeter of ΔABC/Perimeter of ΔPQR = 3/2 = AB/PQ
⇒ AB = (4.8 × 3)/2
⇒ AB = 7.2 cm
∴ The required value of AB is 7.2 cm.
Simple interest on Rs. 986 for a certain period is Rs. 62 less than simple interest on Rs. 1,296 for the same period at the rate of 5% simple interest. For how many years was each amount invested?
Principle = Rs 986, Rate of interest = 5%,
Difference = Rs 62
Concept used:
Simple interest = P × R × T / 100 [ P = principal, R = rate of interest, T = time]
Let the time = T years
⇒ 1296 × 5 × T / 100 - 986 × 5 × T / 100 = 62
⇒ 310 × 5 T = 6200
⇒ T = 4 years
∴ The correct option is 1.
Directions For Questions
Study the graph and answer the question given below.
The below bar graph shows the time taken by a man alone and a woman alone to complete the respective projects. (in days)
...view full instructions
Find the total time taken by one man and one woman together working on project P and project T.
Note 1: Project is taken by man and woman only after completing project P.
Note 2: The efficiency of a man and a woman is different for different projects.
The time is taken by a man to complete the project P = 10 days
The time is taken by a woman to complete the project P = 15 days
The time is taken by a man to complete the project T = 8 days
The time is taken by a woman to complete the project T = 24 days
According to the question,
The amount of work = L.C.M of (10 and 15) = 30 units
Efficiency of a man for project P = 3 units a day
Efficiency of a woman for project P = 2 units a day
Combined efficiency of man and woman = 5 units a day
The time is taken by man and woman together to complete the project P = 30/5 = 6 days
Now,
The amount of work = L.C.M of (8 and 24) = 24 units
Efficiency of a man for project T = 3 units a day
Efficiency of a woman for project T = 1 unit a day
Combined efficiency of man and woman = 4 units a day
The time is taken by man and woman together to complete the project T = 24/4 = 6 days
Therefore,
The total amount of work required = 6 + 6 = 12 days
Therefore, '12 days' is the required answer.
Directions: Study the following bar chart carefully and answer the questions given beside.
The bar diagram shows the number of students who opted for the different subjects in the year 2019 and 2020
What is the sum of the total number of students who opted for different subjects in 2019 and only maths in 2020?
Total students who opted for different subjects in 2019 = 70 + 100 + 90 + 70 + 80 = 410
Students who opted for maths only in 2020 = 80
So required total = 410 + 80 = 490
∴ The sum of the total number of students who opted for different subjects in 2019 and only maths in 2020 is 490
On parallel tracks, two trains of equal length are moving at speeds of 46 and 36 kilometres per hour in the same direction. In 36 seconds, the quicker train overtakes the slower one. The length of each train is:
Speed of the trains are
In 36 seconds, the quicker train overtakes the slower one.
Relative speed for the same direction = Difference of their speed
The relative speed of two trains is ,
(46 - 36) × 5 /18 = 25/9 m/s
So total relative distance covered in 36 seconds
36 × 25/9 = 100 m
The length of each train is 100 / 2 = 50m
∴ The correct option is 2
One angle of an isosceles obtuse triangle is Find the measure of its obtuse angle in degrees.
One angle of an isosceles obtuse triangle is
In an isosceles obtuse triangle, two angles are equal.
The obtuse triangle is ,
⇒ 180° - (28.5 × 2)
⇒ 180° - 57° = 123°
∴ The correct option is 4
Study the chart and answer the question given below.
The total number of female workers = 589
The below table shows the number of male workers in the same company of different departments.
How many more are male workers working in department E with respect to department C?
What will be the perimeter (in cm) of the sector of a circle of radius 4.9 cm having central angle 144°
The perimeter (in cm) of the sector of a circle of radius 4.9 cm having central angle 144°
Perimeter of a circle having central angle θ is, (θ/360) × 2πr + 2r
The perimeter (in cm) of the sector of a circle of radius 4.9 cm having central angle 144° is
⇒ (144/360) × 2 × 4.9 × (22/7) + 2 × 4.9
⇒ 22.12 cm
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