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801.

The slope of a line joining P(6, k) and Q(1-3k, 3) is 12. Find :(i) k.(ii) mid-point of PQ.

Answer»

The slope of a line joining P(6, k) and Q(1-3k, 3) is 12. Find :



(i) k.



(ii) mid-point of PQ.



802.

The ratio between the length and the breadth of a rectangular park is 3: 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:

Answer»

The ratio between the length and the breadth of a rectangular park is 3: 2. If a man cycling along the boundary of the park at the speed of 12 km/hr completes one round in 8 minutes, then the area of the park (in sq. m) is:


803.

The average salary of all the workers in a workshop is Rs. 9000. The average salary of 9 technicians is Rs.12000 and the average salary of the rest is Rs.4500. The total number of workers in the workshop is

Answer»

The average salary of all the workers in a workshop is Rs. 9000. The average salary of 9 technicians is Rs.12000 and the average salary of the rest is Rs.4500. The total number of workers in the workshop is


804.

While ordering these four numbers from least to greatest: 536, 1051, 1735, 3117, which is the 3rd number?

Answer»

While ordering these four numbers from least to greatest: 536, 1051, 1735, 3117, which is the 3rd number?

805.

Statements : Some towns are cities. Some cities are villages. Conclusions : I. Atleast some towns are villages. II. No town is a village.

Answer»

Statements :

Some towns are cities.

Some cities are villages.

Conclusions :

I. Atleast some towns are villages.

II. No town is a village.


806.

In a parallelogram ABCD, p is midpoint on the side AB. A line AQ drawn parallel to PC, intersects DC at Q which is midpoint of CD. BD intersects AQ at S and PC at R. Prove that ar (ΔPRB)=ar(ΔDSQ)

Answer» In a parallelogram ABCD, p is midpoint on the side AB. A line AQ drawn parallel to PC, intersects DC at Q which is midpoint of CD. BD intersects AQ at S and PC at R. Prove that ar (ΔPRB)=ar(ΔDSQ)
807.

of 2^33 is divided by 17, then the remainder is? (according to 10th grade student)

Answer» of 2^33 is divided by 17, then the remainder is? (according to 10th grade student)
808.

Question 11Find m∠C in figure, if ¯¯¯¯¯¯¯¯AB || ¯¯¯¯¯¯¯¯¯DC,

Answer» Question 11

Find mC in figure, if ¯¯¯¯¯¯¯¯AB || ¯¯¯¯¯¯¯¯¯DC,


809.

The average of a non-zero number and its square is 5 times the number. The number is

Answer»

The average of a non-zero number and its square is 5 times the number. The number is


810.

A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?

Answer»

A student finds the average of 10 positive integers. Each integer contains two digits. By mistake, the boy interchanges the digits of one number say ba for ab. Due to this, the average becomes 1.8 less than the previous one. What was the difference of the two digits a and b?


811.

Two cars move uniformly towards each other, thedistance between them decreases at the rate50 m/s. If they move in same direction with differentspeeds, the distance belween them increases atthe rate 10 m/s. The speed of two cars will be(1) 30 m/s and 20 m/s(2) 40 m/s and 10 m/s(3) 15 m/s and 35 m/s(4) 25 m/s and 25 m/s

Answer» Two cars move uniformly towards each other, thedistance between them decreases at the rate50 m/s. If they move in same direction with differentspeeds, the distance belween them increases atthe rate 10 m/s. The speed of two cars will be(1) 30 m/s and 20 m/s(2) 40 m/s and 10 m/s(3) 15 m/s and 35 m/s(4) 25 m/s and 25 m/s
812.

Who among Pallav, Uplav, Rohit, Sandeep and Tilak is the lightest? Statement I: Rohit is heavier than Uplav and Tilak but lighter than Sandeep. Statement II: Sandeep is not the heaviest.

Answer»

Who among Pallav, Uplav, Rohit, Sandeep and Tilak is the lightest?

Statement I: Rohit is heavier than Uplav and Tilak but lighter than Sandeep.

Statement II: Sandeep is not the heaviest.


813.

A man sold 18 cots for Rs. 16,800, gaining thereby the cost price of 3 cots. The cost price of a cot is:

Answer»

A man sold 18 cots for Rs. 16,800, gaining thereby the cost price of 3 cots. The cost price of a cot is:


814.

A glass jar contains 6 red, 5 green, 4 blue, and 5 yellow marbles of same size. Hari takes out a marble of red colour. What is the probability that the chosen marble is of red colour?

Answer»

A glass jar contains 6 red, 5 green, 4 blue, and 5 yellow marbles of same size. Hari takes out a marble of red colour. What is the probability that the chosen marble is of red colour?


815.

Find the area of triangle formed by points O, A, B such that OA vector= i^ +2j^ +3k^& OB vector= -3i^-2j^+k^

Answer» Find the area of triangle formed by points O, A, B such that OA vector= i^ +2j^ +3k^
& OB vector= -3i^-2j^+k^
816.

A can finish a work in 16 days while B can finish the work in 8 days. After A started the work alone, B joined him after 4 days. The total time taken to finish the work is___

Answer» A can finish a work in 16 days while B can finish the work in 8 days. After A started the work alone, B joined him after 4 days. The total time taken to finish the work is___
817.

A piggy bank consists hundred 50p, fifty Rs. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin (1)will be a 50p coin? (2) will not be a Rs. 5 coin?

Answer» A piggy bank consists hundred 50p, fifty Rs. 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin
(1)will be a 50p coin?
(2) will not be a Rs. 5 coin?
818.

A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every lap. The average velocity and average speed for each circular lap respectively is :-(1) 0,0 (2) 0, 10 m/s (3) 10 m/s, 10 m/s (4) 10m/s,

Answer» A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every lap. The average velocity and average speed for each circular lap respectively is :-(1) 0,0 (2) 0, 10 m/s (3) 10 m/s, 10 m/s (4) 10m/s,
819.

If ΔABC is an equilateral triangle and D, E and F are the midpoints of their respective sides, find the ratio of area of ΔABC to that of ΔADE+ΔDBF+ΔEFC.

Answer»

If ΔABC is an equilateral triangle and D, E and F are the midpoints of their respective sides, find the ratio of area of ΔABC to that of ΔADE+ΔDBF+ΔEFC.


820.

Given ΔABCis equilateral and AD = 2 cm, find the perimeter of ΔABC.

Answer»

Given ΔABCis equilateral and AD = 2 cm, find the perimeter of ΔABC.


821.

Three partners shared the profit in a business in the ratio 8:6:9. They had partnered for 9 months, 12 months and 6 months respectively. What was the ratio of their investments?

Answer»

Three partners shared the profit in a business in the ratio 8:6:9. They had partnered for 9 months, 12 months and 6 months respectively. What was the ratio of their investments?


822.

If (x2+5x+7)(x2−5x+7) = m2−n2, find the value of the sum of square of m and n.

Answer»

If (x2+5x+7)(x25x+7) = m2n2, find the value of the sum of square of m and n.

823.

Two employees X and Y are paid a total of Rs. 600 per week by their employer. If X is paid 100 percent of the sum paid to Y, how much is Y paid per week?

Answer»

Two employees X and Y are paid a total of Rs. 600 per week by their employer. If X is paid 100 percent of the sum paid to Y, how much is Y paid per week?


824.

17 A solid is in the form a cone of vertical height h mounted on a right circular cylinder of height 2h and both having same radii of their base. If V is the volume of the solid, the prove that radius of yhe cylinder is whole root3V/7PIh

Answer» 17 A solid is in the form a cone of vertical height h mounted on a right circular cylinder of height 2h and both having same radii of their base. If V is the volume of the solid, the prove that radius of yhe cylinder is whole root3V/7PIh
825.

The milk and water in two vessels A and B are in the ratio 4:5 and 7:2 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting half milk and half water?

Answer»

The milk and water in two vessels A and B are in the ratio 4:5 and 7:2 respectively. In what ratio the liquids in both the vessels be mixed to obtain a new mixture in vessel C consisting half milk and half water?


826.

Rahul scores 80 marks in English and x marks in Hindi. The total score in the two subjects is _______.

Answer» Rahul scores 80 marks in English and x marks in Hindi. The total score in the two subjects is _______.
827.

How a aeroplane fly in the sky and it is turning out

Answer» How a aeroplane fly in the sky and it is turning out
828.

Find the next two terms.1, 4,9, 16, 25, 36, ______ , ______

Answer»

Find the next two terms.


1, 4,9, 16, 25, 36, ______ , ______



829.

In 2005, What is the difference between the non-local NRI population from America and the European category of Foreign Nationals?

Answer»

In 2005, What is the difference between the non-local NRI population from America and the European category of Foreign Nationals?


830.

Q75. Raju lent Rs. 400 to Rakesh for 2 years and Rs. 100 to Rohan for 4 years and received from both Rs. 60 as collective interest. Find the rate of simple interest being calculated.

Answer»

Q75. Raju lent Rs. 400 to Rakesh for 2 years and Rs. 100 to Rohan for 4 years and received from both Rs. 60 as collective interest. Find the rate of simple interest being calculated.


831.

A wrist-watch loses 10 seconds every 8 hours. In how much time will it lose 15 sec?

Answer» A wrist-watch loses 10 seconds every 8 hours. In how much time will it lose 15 sec?
832.

In how many ways 8 boys and 5 girls can sit around a round table, so that no two girls sit together.

Answer»

In how many ways 8 boys and 5 girls can sit around a round table, so that no two girls sit together.

833.

If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

Answer»

If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is


834.

36. If a, b € R , distinct numbers satisfying Ia-1| +lb-1| = lal+lb|= |a+1| + |b+ 1|, then the minimum value of la-b|is

Answer» 36. If a, b € R , distinct numbers satisfying Ia-1| +lb-1| = lal+lb|= |a+1| + |b+ 1|, then the minimum value of la-b|is
835.

Find the area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) ?

Answer» Find the area of the triangle formed by the points A(2,0) B(6,0) and C(4,6) ?
836.

The sum of the first three numbers in an arithmetic progression is 18. If the product of the first and third term is 5 times the common difference, find the three numbers.

Answer» The sum of the first three numbers in an arithmetic progression is 18. If the product of the first and third term is 5 times the common difference, find the three numbers.
837.

(32)20÷(32)5=?

Answer» (32)20÷(32)5=?
838.

If the lines represented by(a2 - 3a) x2 + 2xay + 2y2 = 0, (a (0, 6]lareperpendicular, then sum of values of a is

Answer» If the lines represented by(a2 - 3a) x2 + 2xay + 2y2 = 0, (a (0, 6]lareperpendicular, then sum of values of a is
839.

Out of these, four players namely Abhishek, Bharat, Hitesh and Ashutosh decide to play a game "Pirate Bay-II" tournament after the end of this tournament. The tournament is played on the round robin basis where each player trades with the other player once. All trades produced a winner. The winner is decided on the basis of the Pirate Bay in a way that the player who has more exports in Pirate Bay against the other player wins the round. The winner is awarded 2 points. "Pirate Bay-II" is won by the player scoring most number of points. Who won the tournament?

Answer»

Out of these, four players namely Abhishek, Bharat, Hitesh and Ashutosh decide to play a game "Pirate Bay-II" tournament after the end of this tournament. The tournament is played on the round robin basis where each player trades with the other player once. All trades produced a winner. The winner is decided on the basis of the Pirate Bay in a way that the player who has more exports in Pirate Bay against the other player wins the round. The winner is awarded 2 points. "Pirate Bay-II" is won by the player scoring most number of points. Who won the tournament?


840.

For a canteen, the actual demand for disposable cups was 500 units in January and 600 units in February. The forecast for the month of January was 400 units. The forecast for the month of March considering the smoothing coefficient as 0.75 is .569

Answer» For a canteen, the actual demand for disposable cups was 500 units in January and 600 units in February. The forecast for the month of January was 400 units. The forecast for the month of March considering the smoothing coefficient as 0.75 is .
  1. 569
841.

Represent visually a quarter of a circle divided in 8 parts.

Answer» Represent visually a quarter of a circle divided in 8 parts.
842.

Alex and Peter bought sugar. Sugar bag bought by Alex weighs 4 kg. but, Peter's bag weighs more. Which of the following shows the inequality for the above situation?

Answer»

Alex and Peter bought sugar. Sugar bag bought by Alex weighs 4 kg. but, Peter's bag weighs more. Which of the following shows the inequality for the above situation?

843.

The value of (2.3)3-0.027(2.3)2+0.69+0.09(a) 2(b) 3(c) 2.327(d) 2.273

Answer» The value of (2.3)3-0.027(2.3)2+0.69+0.09



(a) 2



(b) 3



(c) 2.327



(d) 2.273
844.

Weight of a body of mass m decreases by 1% when it is raised to height h above the Earth's surface. If the body is taken to a depth h in a mine, then its weight will :

Answer» Weight of a body of mass m decreases by 1% when it is raised to height h above the Earth's surface. If the body is taken to a depth h in a mine, then its weight will :
845.

Select the appropriate alternative answer for the following questions. (i) If 6 : 5 = y : 20 then what will be the value of y ?(A) 15 (B) 24 (C) 18 (D) 22.5(ii) What is the ratio of 1 mm to 1 cm ?(A) 1 : 100 (B) 10 : 1 (C) 1 : 10 (D) 100 : 1(iii * ) The ages of Jatin, Nitin and Mohasin are 16, 24 and 36 years respectively. What is the ratio of Nitin’s age to Mohasin’s age ?(A) 3 : 2 (B) 2 : 3 (C) 4 : 3 (D) 3 : 4 (iv) 24 Bananas were distributed between Shubham and Anil in the ratio 3 : 5, then how many bananas did Shubham get ?(A) 8 (B) 15 (C) 12 (D) 9(v) What is the mean proportional of 4 and 25 ?(A) 6 (B) 8 (C) 10 (D) 12

Answer»
Select the appropriate alternative answer for the following questions.




(i) If 6 : 5 = y : 20 then what will be the value of y ?


(A) 15 (B) 24 (C) 18 (D) 22.5




(ii) What is the ratio of 1 mm to 1 cm ?


(A) 1 : 100 (B) 10 : 1 (C) 1 : 10 (D) 100 : 1




(iii * ) The ages of Jatin, Nitin and Mohasin are 16, 24 and 36 years respectively. What is the ratio of Nitin’s age to Mohasin’s age ?


(A) 3 : 2 (B) 2 : 3 (C) 4 : 3 (D) 3 : 4




(iv) 24 Bananas were distributed between Shubham and Anil in the ratio 3 : 5, then how many bananas did Shubham get ?


(A) 8 (B) 15 (C) 12 (D) 9




(v) What is the mean proportional of 4 and 25 ?

(A) 6 (B) 8 (C) 10 (D) 12
846.

The houses of a row are numbered consecutively from 1 to 49. Showthat there is a value of x such that the sum of the numbers of thehouses preceding the house numbered x is equal to the sum of thenumbers of the houses following it. Find this value of x. [ Hint : Sx−1=S49−Sx]

Answer»

The houses of a row are numbered consecutively from 1 to 49. Show

that there is a value of x such that the sum of the numbers of the

houses preceding the house numbered x is equal to the sum of the

numbers of the houses following it. Find this value of x.

[ Hint : Sx1=S49Sx]
847.

A={(x,y):x,y belongs to I ,x>=0,y>=0 and 4x+5y=0,Y>=0 5X+4Y

Answer» A={(x,y):x,y belongs to I ,x>=0,y>=0 and 4x+5y<=40}
B={(X,Y):X,Y BELONGS TO I,X>=0,Y>=0 5X+4Y<=40}
n(A intersectionB)
848.

If 42 students of a section prefer playing volleyball during recess, which accounts for 23rd of the class's strength, find the class strength.

Answer» If 42 students of a section prefer playing volleyball during recess, which accounts for 23rd of the class's strength, find the class strength.
849.

What is the probability of forming the word "ADDS” by picking 4 cards at random and kept in the same order out of 50 cards given with 10 cards having "A”, 10 having "S” and the remaining 30 having "D” on it?

Answer»

What is the probability of forming the word "ADDS” by picking 4 cards at random and kept in the same order out of 50 cards given with 10 cards having "A”, 10 having "S” and the remaining 30 having "D” on it?


850.

Who had bought minimum numbers of garments?

Answer»

Who had bought minimum numbers of garments?