1 Crore+ students have signed up on EduRev. Have you? 
In a certain party,there was a bowl of rice for every two guests,a bowl of broth for every three of them and a bowl of meat for every four of them. If in all,there were 65 bowls of food,then how many guests were there in the party?
Let the number of rice bowls be x, number of broth bowls be y
and number of meat bowls be z
∴ x + y + z = 65 .....(1)
and 2x = 3y = 4z .....(2)
By solving both the equation we get x = 30, y = 20 and z = 15 So, number of guests = 30 × 2 = 20 × 3 = 15 × 4 = 60
If the roots of the quardratic equation x²px+q = 0 differ by unity, then
A circular running path is 726 metres in circumference. Two men start from the same point and walk in opposite directions at the speed of 3.75 km. per hour and 4.5 km per hour respectively. Then when will they meet for first chance:
The two men walk in opposite directions @ 62.5 metres/minute and 75 metres/minute respectively
∴ They will meet for the first time after
The sides of a triangle are in the ratio 13:14:15 and its perimeter is 168cm. The length of the altitude corresponding to the longest side is
Ratio of sides = 13 : 14 : 15
Perimeter of triangle = 168 cm
Let the sides are 13x, 14x, and 15x
∴ 13x + 14x + 15x = 168
⇒ 42x = 168
⇒ x = 4
∴ sides are 13 × 4 = 52 cm
14 × 4 = 56 cm
15 × 4 = 60 cm
The average weight of a class of 24 students is 35 kg. If the weight of the teacher be included, the average rises by 400 g. The weight of the teacher is:
Weight of the teacher = (35.4 × 25  35 × 24) kg = 45 kg
A sum of money lent out at simple interests amounts to Rs. 720 after 2 years and to Rs. 1020 after a further period of 5 years. The sum is :
Principal + SI for 2 years = Rs 720 ……(I)
Principal + SI for 7 years = Rs 1020 ……(II)
Subtracting equation (I) from (II),
S.I. for 5 years = (1020 – 720) = Rs 300
∴ S.I. for 2 years = 300 x 2/5 = Rs 120
∴ Principal = (720 – 120) = Rs 600
A square is inscribed in a circle of radius 10 units. The area of the circle not included in the square......(use π = 3.14)
Let the side of square be x unit.
sider the right triangle ABD
have x^{2} + x^{2} = (10 + 10)^{2}
⇒ 2x^{2} = 400
x^{2} = 200
Area of square = 200 sq units
One of circle = πr^{2} = 22/7 x (10)^{2} = 314 sq units
One of shaded region not included in square
= 314 sq unit  200 sq unit
= 114 sq unit.
AB∥CD and P is a point between the lines, the measure of the angles ∠ABP+∠BPD+∠CDP is
ABC is a triangle. ∠A = 80º, ∠C = 60º. The measure of (yº  xº) is
∠ABC = 180º  (∠BAC + ∠ACB)
∠ABC = 180º  140º
∠ABC = 40º
But ∠ABC = 2xº
⇒ 2x = 40º
⇒ xº = 20º
Hence,
∠BOC = 180º  (20º + 30º)
∠BOC = 130º
⇒ yº  xº = 130º  20º
yº  xº = 110º
From a point P on a level ground, the angle of elevation of the top of a tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is:
A house worth Rs 150000 is sold by X at 5% profit to Y. Y sells the house back to X at a 2% loss. Then, in the entire transaction
The equation ax^{2} + bx + c = 0, where a, b, c are the sides of a ΔABC , and the equation x^{2} + √2x + 1 = 0 have a common root. The measure of ∠C is
Clearly, the roots of x^{2} + √2x + 1 = 0 are nonreal complex. So, one root common implies both roots are common.
A circular wire of radius 7 cm is cut and bend again into an arc of a circle of radius 12 cm. The angle subtended by the are at the centre is
A hollow spherical metallic ball has an external diameter 6 cm and is ( 1/2 ) cm thick. The volume of metal used in the ball is :
The curved surface of a right circular cone of height 15 cm and base diameter 16 cm is :
If the height of a cone can be doubled and radius of base remains the same, then the ratio of the volume of the given cone to that of the second cone will be :
Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)
Q. What is the difference between the total production of the two companies in the given years ?
Productions of Company X in the years 1997, 1998, 1999, 2000, 2001 and 2002 are 119000, 99000, 141000, 78000, 120000 and 159000 and those of Company Y are 139000, 120000,100000, 128000, 107000 and 148000 respectively.
Total production of Company X from 1997 to 2002
= 119000 + 99000 + 141000 + 78000 + 120000 + 159000 = 716000
and total production of Company Y from 1997 to 2002
= 139000 + 120000 + 100000 + 128000 + 107000 + 148000 = 742000
Difference = (742000  716000) = 26000
Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)
Q. What is the difference between the number of vehicles manufactured by company Y in 2000 and 2001 ?
Required difference = (128000  107000) = 21000.
Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)
Q. What is the average number of vehicles manufactured by company X over the given period? (rounded off to the nearest integer)
Average number of vehicles manufactured by Company X
= 1/6 × (119000 + 99000 + 141000 + 78000 + 120000 + 159000) = 119333.
Number of Vehicles Manufactured by Two companies ove the Years (Number in Thousands)
Q. In which of the following years, the difference between the productions of companies X and Y was the maximum amoung the given years ?
The difference between the productions of Companies X and Y in various years are:
For 1997 (139000  119000) = 20000.
For 1998 (120000  99000) = 21000.
For 1999 (141000  100000) = 41000.
For 2000 (128000  78000) = 50000.
For 2001 (120000  107000) = 13000.
For 2002 (159000  148000) = 11000.
Maximum difference was in 2000.
These questions refer to the following circle graph showing the expenditure distribution of a certain family.
Q. If the family spends Rs.6,500 per month, how much are its annual taxes ?
These questions refer to the following circle graph showing the expenditure distribution of a certain family.
Q. How many degrees should there be in the central angle showing clothing , taxes and transportation combined ?
Required angle
= 360/100 × 35 = 126°
These questions refer to the following circle graph showing the expenditure distribution of a certain family.
Q. How much more money per month is spent by the family on food as compared to the rent ?
These questions refer to the following circle graph showing the expenditure distribution of a certain family.
Q. If the expenditure budget of the family is raised to Rs.8,000 per month and distribution on various items remain the same , then the monthly expenses on both , the entertainment and the transport, will be :
Expenses on entertainment and transport
= 8000 × 18%
= Rs 1440
The following questions are based on the following pie chart which gives the expenditure incurred in printing a magazine.
Q. What is the angle for the sector representing paper cost ?
Angle for sector representing paper cost = 360/100 × 10 = 36°
1 docs63 tests

Use Code STAYHOME200 and get INR 200 additional OFF

Use Coupon Code 
1 docs63 tests









