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3101.

AVR cinema hall has 500 seats. Cost of each ticket is Rs.300 per seat. At this price, the owner will be able to fill the entire hall. If the price of the ticket goes up by Re.1, the number of seats sold goes down by 1. At what price of the ticket, will he maximize his revenue?

Answer»

AVR cinema hall has 500 seats. Cost of each ticket is Rs.300 per seat. At this price, the owner will be able to fill the entire hall. If the price of the ticket goes up by Re.1, the number of seats sold goes down by 1. At what price of the ticket, will he maximize his revenue?

3102.

Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is

Answer»

Out of the shirts produced in a factory, 15% are defective, while 20% of the rest are sold in the domestic market. If the remaining 8840 shirts are left for export, then the number of shirts produced in the factory is


3103.

A man wants to buy 62 shares available at Rs. 132 (par value Rs. 100)

Answer»

A man wants to buy 62 shares available at Rs. 132 (par value Rs. 100)


3104.

There is an increase of 30% in the number of passengers going to Bengaluru in the first quarter from the second quarter and a 40% increase in the number of passengers going to Kolkata in the first quarter from the second quarter. The number of passengers going to Bengaluru and Kolkata in the first quarter by airline B is what percent of the number of passengers going to the same cities in the second quarter?

Answer»

There is an increase of 30% in the number of passengers going to Bengaluru in the first quarter from the second quarter and a 40% increase in the number of passengers going to Kolkata in the first quarter from the second quarter. The number of passengers going to Bengaluru and Kolkata in the first quarter by airline B is what percent of the number of passengers going to the same cities in the second quarter?


3105.

How is square a rectangle?

Answer» How is square a rectangle?
3106.

To decide the winner of the game the players decide to rank themselves. The player who has more exports in all the trading done between the two players gets 2 points. All pairs of players are taken into consideration and the players are ranked according to the total number of points obtained. If two players get the same number of points then the player with more number of exports among those will get the higher ranking. Based on this scoring system, who will be ranked third?

Answer»

To decide the winner of the game the players decide to rank themselves. The player who has more exports in all the trading done between the two players gets 2 points. All pairs of players are taken into consideration and the players are ranked according to the total number of points obtained. If two players get the same number of points then the player with more number of exports among those will get the higher ranking. Based on this scoring system, who will be ranked third?


3107.

Explain fully the concept of open and closed intervals.

Answer»

Explain fully the concept of open and closed intervals.

3108.

BM and CN are perpendicular to the line passing through the vertex A of a triangle ABC.If L is the mid-point of BC,prove that LM is equal to LN

Answer» BM and CN are perpendicular to the line passing through the vertex A of a triangle ABC.If L is the mid-point of BC,prove that LM is equal to LN
3109.

The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. BeverageNumber of cupsCoffee60Tea75Hot chocolate25Milk40 What is the angle of sector in a pie chart representing tea?

Answer»

The table shows the number of cups of four different beverages sold by a coffee shop in a certain day. BeverageNumber of cupsCoffee60Tea75Hot chocolate25Milk40
What is the angle of sector in a pie chart representing tea?


3110.

Refer to the pie charts carefully and answer the given questions. Q. What is the central angle corresponding to number of cellular phones (both Nokia and Samsung) sold by store D?

Answer»

Refer to the pie charts carefully and answer the given questions.
Q. What is the central angle corresponding to number of cellular phones (both Nokia and Samsung) sold by store D?

3111.

How many integers that lie between 0 and 1000 which when divided by 2 or 4 leave a remainder of 1 and by 7 leaves a remainder of 2 ?

Answer»

How many integers that lie between 0 and 1000 which when divided by 2 or 4 leave a remainder of 1 and by 7 leaves a remainder of 2 ?


3112.

The remainder obtained when 1!+2!+3!+4!+5!+…….+99! Is divided by 48 is

Answer»

The remainder obtained when 1!+2!+3!+4!+5!+…….+99! Is divided by 48 is


3113.

If the sum of n terms of a progression is given by n2+n, then the progression is called

Answer»

If the sum of n terms of a progression is given by n2+n, then the progression is called


3114.

The sides AB BC and CA of triangle ABC touch a circle with center O and radius r at P, Q and R respectively. Prove that area of triangle ABC = r2×perimeter of triangle ABC

Answer» The sides AB BC and CA of triangle ABC touch a circle with center O and radius r at P, Q and R respectively. Prove that area of triangle ABC = r2×perimeter of triangle ABC
3115.

At the Lok Sabha, the average age of the M male MPs is F and the average age of F female MPs is M. If the average age of everyone, including the 42-year-old Speaker Sumitra Mahajan (assume she is not MP), is M+F. The numerical value of M+F is ___

Answer» At the Lok Sabha, the average age of the M male MPs is F and the average age of F female MPs is M. If the average age of everyone, including the 42-year-old Speaker Sumitra Mahajan (assume she is not MP), is M+F.
The numerical value of M+F is ___
3116.

After Karan has got Rs. 20 in total, another player Sarabjeet joins them, with a ball which is dealt along with the previous three and distributed among all four. Four rounds after joining, Sarabjeet has exactly the same amount as Karan. What is the number on the ball that Sarabjeet brought?

Answer»

After Karan has got Rs. 20 in total, another player Sarabjeet joins them, with a ball which is dealt along with the previous three and distributed among all four. Four rounds after joining, Sarabjeet has exactly the same amount as Karan. What is the number on the ball that Sarabjeet brought?


3117.

Aditi bought some bananas, mangoes, guavas, pears and sapotas. She bought atleast 5 of each. All the numbers bought were distinct. Given that she has bought the least number of bananas, the number of bananas bought can be exactly determined if the total number of items bought is at most?

Answer»

Aditi bought some bananas, mangoes, guavas, pears and sapotas. She bought atleast 5 of each. All the numbers bought were distinct. Given that she has bought the least number of bananas, the number of bananas bought can be exactly determined if the total number of items bought is at most?

3118.

Which of the following can be A's profession?

Answer»

Which of the following can be A's profession?


3119.

Record the following transactions in the sales book of Vishal Electronics, Rajasthan. 2016July 3Sold to Karan Electronics, vide Invoice No.4315 Colour TV Sets Rs 20,000 eachLess : Trade discount 20%; and GST is charged 10% July 10Sold to Namit Electronics, vide Invoice No.43210 Washing machines Rs 8,000 eachLess : Trade discount 25% ; and GST is charged 10%July 12Sold to Krish and Sons, vide Cash Memo No.25106 Colour TV Sets Rs 18,000 eachLess : Trade discount 15%; and GST is charged 10% July 16Sold to Aarav Trading company, vide Invoice No.4338 Music systems Rs 15,000 each10 colour TV sets Rs 22,000 eachLess : Trade discount 20%; GST charged 10% ; Freight charged Rs 2,500 Here, we have taken the assumed rate of GST.

Answer»

Record the following transactions in the sales book of Vishal Electronics, Rajasthan.

2016July 3Sold to Karan Electronics, vide Invoice No.4315 Colour TV Sets Rs 20,000 eachLess : Trade discount 20%; and GST is charged 10% July 10Sold to Namit Electronics, vide Invoice No.43210 Washing machines Rs 8,000 eachLess : Trade discount 25% ; and GST is charged 10%July 12Sold to Krish and Sons, vide Cash Memo No.25106 Colour TV Sets Rs 18,000 eachLess : Trade discount 15%; and GST is charged 10% July 16Sold to Aarav Trading company, vide Invoice No.4338 Music systems Rs 15,000 each10 colour TV sets Rs 22,000 eachLess : Trade discount 20%; GST charged 10% ; Freight charged Rs 2,500

Here, we have taken the assumed rate of GST.

3120.

Ram Lal invested a certain amount for three years, under compound interest compounded annually and received Rs.17820. If he had invested the same amount for six years at the same rate of interest compounded annually, he would have received Rs.49410. The amount (to the nearest integer in Rs.) he invested is___

Answer» Ram Lal invested a certain amount for three years, under compound interest compounded annually and received Rs.17820. If he had invested the same amount for six years at the same rate of interest compounded annually, he would have received Rs.49410. The amount (to the nearest integer in Rs.) he invested is___
3121.

If Kerosene consumption in 2011 is 40% higher than kerosene consumption in 2010. Then the ratio of petrol in 2011 to 2010 (Approx):

Answer»

If Kerosene consumption in 2011 is 40% higher than kerosene consumption in 2010. Then the ratio of petrol in 2011 to 2010 (Approx):


3122.

A line passing through the point A with position vector →a=4^i+2^j+2^k is parallel to the vector →b=2^i+3^j+6^k.Find the length of the perpendicular drawn on this line from a point P with position vector →r1=^i+2^j+3^k.

Answer» A line passing through the point A with position vector a=4^i+2^j+2^k is parallel to the vector b=2^i+3^j+6^k.Find the length of the perpendicular drawn on this line from a point P with position vector r1=^i+2^j+3^k.
3123.

If X's income in 1999 and Y's expenditure in 2000 were equal , the income of X in 1999 and that of Y in 2000 are in the ratio :

Answer»

If X's income in 1999 and Y's expenditure in 2000 were equal , the income of X in 1999 and that of Y in 2000 are in the ratio :


3124.

If the side of square is 12(x+1) and its diagonal is 3−x√2 units. Find the length of a side of the square.

Answer»

If the side of square is 12(x+1) and its diagonal is 3x2 units. Find the length of a side of the square.


3125.

How many numbers are there from 1 to 1000 which are perfect squares as well as perfect cubes?

Answer»

How many numbers are there from 1 to 1000 which are perfect squares as well as perfect cubes?


3126.

Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998?

Answer» Total number of candidates qualified from all the states together in 1997 is approximately what percentage of the total number of candidates qualified from all the states together in 1998?

3127.

Between 2:15 p.m. and 2:35 p.m. how many degrees the minute hand moves?

Answer»

Between 2:15 p.m. and 2:35 p.m. how many degrees the minute hand moves?


3128.

If |x + 1| > |2x - 5|, then :

Answer»

If |x + 1| > |2x - 5|, then :

3129.

In ΔABC,AD is median through A and E is mid-point of AD. BE is produced to meet AC at F. Then prove that AF=13AC.

Answer» In ΔABC,AD is median through A and E is mid-point of AD. BE is produced to meet AC at F. Then prove that AF=13AC.
3130.

Study the following information and answer the questions given below. (i) ′P÷Q′ means 'Q is the father of P'. (ii) ′P×Q′means 'P is the sister of Q'. (iii) ′P+Q′ means 'P is the brother of Q'. (v) ′P−Q′ means 'Q is the mother of P'. Which of the following means R is the nephew of T?

Answer»

Study the following information and answer the questions given below.
(i) P÷Q means 'Q is the father of P'.
(ii) P×Qmeans 'P is the sister of Q'.
(iii) P+Q means 'P is the brother of Q'.
(v) PQ means 'Q is the mother of P'.
Which of the following means R is the nephew of T?

3131.

If the number of candidates who are at or above the 90th percentile overall and also are at or above 80th percentile in P in CET, is more than 100, how many candidates had to sit for the separate test for BIE?

Answer»

If the number of candidates who are at or above the 90th percentile overall and also are at or above 80th percentile in P in CET, is more than 100, how many candidates had to sit for the separate test for BIE?


3132.

Which one is different from the remaining three?

Answer»

Which one is different from the remaining three?


3133.

Each corner of a square subtends an angle of 30∘ at the top of a tower 'h' meters high standing in the centre of the square. If 'a' is the length of the each side of square then the relation between h and a is

Answer»

Each corner of a square subtends an angle of 30 at the top of a tower 'h' meters high standing in the centre of the square. If 'a' is the length of the each side of square then the relation between h and a is


3134.

Which smallest number must be added to 2203 to get a perfect square?

Answer»

Which smallest number must be added to 2203 to get a perfect square?


3135.

In the Database H, a max of how many persons can be there such that for each of them, the data on exactly five of the six features is available?

Answer»

In the Database H, a max of how many persons can be there such that for each of them, the data on exactly five of the six features is available?


3136.

Statements: Applications of applicants who do nofulfil eligibility criteria and/or who do not submit applications before last date will be summarily rejected and will not be called for the written test. Conclusions: I. Those who are called for the written test are those who fulfil eligibility criteria and have submitted their applications before last date. II. Written test will be held only after scrutiny of applications.

Answer»

Statements: Applications of applicants who do nofulfil eligibility criteria and/or who do not submit applications before last date will be summarily rejected and will not be called for the written test.

Conclusions:

I. Those who are called for the written test are those who fulfil eligibility criteria and have submitted their applications before last date.

II. Written test will be held only after scrutiny of applications.


3137.

The area of circle C is 9 π sq. units. The area of square PQRS is _____ sq. units.

Answer»

The area of circle C is 9 π sq. units. The area of square PQRS is _____ sq. units.


3138.

Two tubes P and Q can fill a reservoir in 18 minutes and 22.5 minutes respectively. If both the tubes are opened together, then after how much time Q should be closed so that the reservoir is full in 13.5 minutes?

Answer»

Two tubes P and Q can fill a reservoir in 18 minutes and 22.5 minutes respectively. If both the tubes are opened together, then after how much time Q should be closed so that the reservoir is full in 13.5 minutes?


3139.

Two trains are moving in opposite direction such that the ratio of their velocities is 4:5. If they meet at a point then what is the fraction of the distance covered by the faster train?

Answer»

Two trains are moving in opposite direction such that the ratio of their velocities is 4:5. If they meet at a point then what is the fraction of the distance covered by the faster train?


3140.

In how many different ways can the letters of the word 'BLOATING' be arranged?

Answer» In how many different ways can the letters of the word 'BLOATING' be arranged?
3141.

Statements : ∗ YG, GH, HR$ Conclusions : I. RG$ II. ∗ RG

Answer» Statements : YG, GH, HR$
Conclusions : I. RG$
II. RG

3142.

Given A×B=2. Find the minimum value of (A + B), where A and B are positive.

Answer»

Given A×B=2. Find the minimum value of (A + B), where A and B are positive.

3143.

Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following: 1) Both cities are in G1 2) Between A and any city in G2 3) Between B and any city in G3 4) Between C and any city in G4 Then the minimum number of direct flights that satisfies the underlying principle of the airline is:___

Answer»

Suppose the 10 cities are divided into 4 distinct groups G1, G2, G3, G4 having 3, 3, 2 and 2 cities respectively and that G1 consists of cities named A, B and C. Further, suppose that direct flights are allowed only between two cities satisfying one of the following:
1) Both cities are in G1
2) Between A and any city in G2
3) Between B and any city in G3
4) Between C and any city in G4
Then the minimum number of direct flights that satisfies the underlying principle of the airline is:___

3144.

Total number of students who visited Jodhpur is approximately what per cent of number of girls who visited Delhi?

Answer»

Total number of students who visited Jodhpur is approximately what per cent of number of girls who visited Delhi?


3145.

In the figure given below, ABOP is a rectangle and O is the centre of the circle. It is also given that AB = BC and the measure of the angle ABC is 60∘. Find the measure of the angle OPN.

Answer»

In the figure given below, ABOP is a rectangle and O is the centre of the circle. It is also given that AB = BC and the measure of the angle ABC is 60. Find
the measure of the angle OPN.

3146.

A fishing motor boat sails at a speed of 50 kmph without any iron boxes on it. For every iron box of added to it, the speed of engine reduces by 10% of the earlier speed. At most how many boxes can be added so that the ship can cover a distance of 225 km in a maximum of 10 hrs? (Assume that the only additions which impede the performance of the boat are iron boxes and that all iron boxes have a weight of 7 kgs)

Answer»

A fishing motor boat sails at a speed of 50 kmph without any iron boxes on it. For every iron box of added to it, the speed of engine reduces by 10% of the earlier speed. At most how many boxes can be added so that the ship can cover a distance of 225 km in a maximum of 10 hrs? (Assume that the only additions which impede the performance of the boat are iron boxes and that all iron boxes have a weight of 7 kgs)


3147.

Anil looked up at the top of a lighthouse from his boat, and found the angle of elevation to be 30∘. After sailing in a straight line 50 m towards the lighthouse, he found that the angle of elevation changed to 45∘. Find the height of the lighthouse.

Answer»

Anil looked up at the top of a lighthouse from his boat, and found the angle of elevation to be 30. After sailing in a straight line 50 m towards the lighthouse, he found that the angle of elevation changed to 45. Find the height of the lighthouse.


3148.

Statements: ∗ LU, UG∗, GS Conclusions: I. LS∗ II. ∗GL

Answer»

Statements: LU, UG, GS
Conclusions: I. LS
II. GL

3149.

In the adjoining figure, ABCD is a rectangle and DF = CF also, AE = 3BE. What is the value of ∠EOF,if ∠DFO=28∘ and ∠AEO=42∘?

Answer»

In the adjoining figure, ABCD is a rectangle and DF = CF also, AE = 3BE. What is the value of EOF,if DFO=28 and AEO=42?

3150.

Q. Two dice are thrown simultaneously. What is the probability that the sum of numbers coming up on the dice is divisible by 4? Q. दो पासे एक साथ फेंके जाते हैं। पासा पर आने वाली संख्याओं के योग का 4 से विभाज्य होने की क्या संभावना है?

Answer»

Q. Two dice are thrown simultaneously. What is the probability that the sum of numbers coming up on the dice is divisible by 4?

Q. दो पासे एक साथ फेंके जाते हैं। पासा पर आने वाली संख्याओं के योग का 4 से विभाज्य होने की क्या संभावना है?