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2551.

If x is a natural number which when divided by 5 leaves remainder 3 then the remainder when x2 = 5x+2 is divided by 5

Answer» If x is a natural number which when divided by 5 leaves remainder 3 then the remainder when x2 = 5x+2 is divided by 5
2552.

Question 102The folowing table shows the distance travelled by one of the new eco-friendly energy efficient car travelled on gas.Which type of properties are indicated by the table? How much distance will be covered by the car in 8 liters of gas?

Answer»

Question 102



The folowing table shows the distance travelled by one of the new eco-friendly energy efficient car travelled on gas.





Which type of properties are indicated by the table? How much distance will be covered by the car in 8 liters of gas?



2553.

The relation between a and b is given by2a+b=10Select the pair of cards for correct values of a and b

Answer»

The relation between a and b is given by

2a+b=10

Select the pair of cards for correct values of a and b

2554.

All real set values of x satisfiying x^2-3x+2>0 and x^2-2x-4

Answer» All real set values of x satisfiying x^2-3x+2>0 and x^2-2x-4<=0 are given by [a,b) Union (c,d] then the value of (b-a)/(d-c) is equal to
2555.

Where does erythropoiesis start?

Answer» Where does erythropoiesis start?
2556.

For the inequation(1.25)1−x&lt;(0.64)2(1+√x)

Answer»

For the inequation

(1.25)1x<(0.64)2(1+x)

2557.

What is the least cost of sending petrol from refinery BB to district AAA? ___

Answer» What is the least cost of sending petrol from refinery BB to district AAA?
___
2558.

Find the value of (214−1)(234+212+214+1).

Answer»

Find the value of (2141)(234+212+214+1).


2559.

Find the number of two digit numbers which are divisible by 2 and 3?

Answer»

Find the number of two digit numbers which are divisible by 2 and 3?


2560.

The relation between x and y such that the point P (x,y) is equidistant from the points (7, 1) and (3, 5) is .

Answer»

The relation between x and y such that the point P (x,y) is equidistant from the points (7, 1) and (3, 5) is .

2561.

If a train covers seven times more distance than that covered by the man before hitting him, the ratio of the speed of the train to that of the man is

Answer»

If a train covers seven times more distance than that covered by the man before hitting him, the ratio of the speed of the train to that of the man is


2562.

Write ‘True’ or ‘False’ and justify your answer A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is 4πrh+4πr2.

Answer» Write ‘True’ or ‘False’ and justify your answer

A solid cylinder of radius r and height h is placed over other cylinder of same height and radius. The total surface area of the shape so formed is 4πrh+4πr2.
2563.

How many extra pen drives does Diya usually sell every month as compared to the previous month?

Answer»

How many extra pen drives does Diya usually sell every month as compared to the previous month?


2564.

What was the approximate percentage decrease in the number of trees planted by NGO C in state B in the year 2009 as compared to the previous year?

Answer»

What was the approximate percentage decrease in the number of trees planted by NGO C in state B in the year 2009 as compared to the previous year?

2565.

19. STATEMENT 1 : Integral of an even function is not always an odd function. STATEMENT 2: Integral of an odd function is an even function. Are Statement 1 and 2 true?

Answer» 19. STATEMENT 1 : Integral of an even function is not always an odd function. STATEMENT 2: Integral of an odd function is an even function. Are Statement 1 and 2 true?
2566.

Statements AU, UL$, JL∗ Conclusions : I. JA∗ II. JU∗

Answer» Statements AU, UL$, JL
Conclusions : I. JA
II. JU

2567.

Which pair of successive years shows the maximum growth rate of tax revenue in Maharashtra?

Answer»

Which pair of successive years shows the maximum growth rate of tax revenue in Maharashtra?


2568.

A and B are running around a circular track in opposite directions. They meet at a point 550 m from the starting point and continue running. Now, they meet at a point 350 m from the starting point, but in opposite directions as before. What is the length of the circular track?

Answer» A and B are running around a circular track in opposite directions. They meet at a point 550 m from the starting point and continue running. Now, they meet at a point 350 m from the starting point, but in opposite directions as before. What is the length of the circular track?
2569.

The sum of 7 numbers in a geometric progression is 108 .the sum of their reciprokals is 12 .the geometric mean of 3 middle terms of geometric progression is?

Answer» The sum of 7 numbers in a geometric progression is 108 .the sum of their reciprokals is 12 .the geometric mean of 3 middle terms of geometric progression is?
2570.

A farmland of 8 acres is equally distributed among 4 different farmers. If each farmer then divides his plot into 3 equal sections, the area of each section will be ______

Answer» A farmland of 8 acres is equally distributed among 4 different farmers. If each farmer then divides his plot into 3 equal sections, the area of each section will be ______


2571.

If a number N can be represented as Pa1×Pb2×Pc3 where P1,P2,P3 are prime factors of N then number of factors of N can be found as (a+1)×(b+1)×(c+1)

Answer» If a number N can be represented as Pa1×Pb2×Pc3 where P1,P2,P3 are prime factors of N then number of factors of N can be found as (a+1)×(b+1)×(c+1)
2572.

In a school, all the students play at least one of three indoor games - chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 playcarrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.What can be the minimum and maximum number of studentsin the school?

Answer» In a school, all the students play at least one of three indoor games - chess, carrom and tabletennis. 60 play chess, 50 play table tennis, 48 playcarrom, 12 play chess and carrom, 15 play carrom and table tennis, 20 play table tennis and chess.What can be the minimum and maximum number of studentsin the school?
2573.

Find the number of chocolates in box X. 9

Answer» Find the number of chocolates in box X.




  1. 9
2574.

if x is a natural number which divided by 5 leaves the reminder 3, then the reminder when x*x-5x+2 is divided by 5 is

Answer» if x is a natural number which divided by 5 leaves the reminder 3, then the reminder when
x*x-5x+2 is divided by 5 is
2575.

Seven different lectures are to be delivered in 7 periods of a class on a particular day. Out of 7 lecturers, A,B and C are three of them. If the number of ways in which a routine for the day can be made such that A delivers his lecture before B and B before C is N, then the value of N is

Answer»

Seven different lectures are to be delivered in 7 periods of a class on a particular day. Out of 7 lecturers, A,B and C are three of them. If the number of ways in which a routine for the day can be made such that A delivers his lecture before B and B before C is N, then the value of N is

2576.

A metallic sheet is of rectangular shape with dimensions 48 m × 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:

Answer»

A metallic sheet is of rectangular shape with dimensions 48 m × 36 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 8 m, the volume of the box (in m3) is:


2577.

A sphere of radius 13 cm is cut by a plane whose distance from the centre of the sphere is 5cm. What is the circumference of the section so obtained?

Answer»

A sphere of radius 13 cm is cut by a plane whose distance from the centre of the sphere is 5cm. What is the circumference of the section so obtained?


2578.

Find the least natural number which leaves the remainders 6 and 8 when divided by 7 and 9 respectively.

Answer»

Find the least natural number which leaves the remainders 6 and 8 when divided by 7 and 9 respectively.

2579.

Question 4Find a, b and c such that the following numbers are in AP.a, 7, b, 23 and c.

Answer» Question 4

Find a, b and c such that the following numbers are in AP.

a, 7, b, 23 and c.

2580.

The value of k for which the centres of the circles x2 + y2 = 1, x2 + y2 + 6x – 2y = 1 and x2 + y2 – 6kx + 4y – 1 = 0 are collinear, is __________.

Answer» The value of k for which the centres of the circles x2 + y2 = 1, x2 + y2 + 6x – 2y = 1 and x2 + y2 – 6kx + 4y – 1 = 0 are collinear, is __________.
2581.

On which day of the week does Aarti's birthday fall? I. Sonu correctly remembers that Aarti's birthday comes after Wednesday but before Sunday. II. Raj correctly remembers that Aarti's birthday comes before Friday but after Tuesday.

Answer»

On which day of the week does Aarti's birthday fall?

I. Sonu correctly remembers that Aarti's birthday comes after Wednesday but before Sunday.

II. Raj correctly remembers that Aarti's birthday comes before Friday but after Tuesday.


2582.

The difference between the C.I. and S.I. on the sum of money for 2 years at 12% p.a. is Rs. 150. The sum is?

Answer» The difference between the C.I. and S.I. on the sum of money for 2 years at 12% p.a. is Rs. 150. The sum is?
2583.

Let an = 6n + 8n . Find the remainder upon dividing a83 by 49.

Answer» Let an = 6n + 8n . Find the remainder upon dividing a83 by 49.
2584.

In the given figure, AB is the diameter of the circle and the points C and D are on the circumference. ∠CAD=30∘ and ∠CBA=70∘. What is the measure of ∠ACD?

Answer»

In the given figure, AB is the diameter of the circle and the points C and D are on the circumference. CAD=30 and CBA=70. What is the measure of ACD?

2585.

Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60 . Also find the area of the corresponding major segment.

Answer» Find the area of the minor segment of a circle of radius 14 cm, when its central angle is 60 . Also find the area of the corresponding major segment.
2586.

If the number 91876Y2 is completely divisible by 8, then the smallest whole number in place of "Y" will be:

Answer»

If the number 91876Y2 is completely divisible by 8, then the smallest whole number in place of "Y" will be:


2587.

The cost price of 10 articles is equal to selling price of 9 articles . find profit %.

Answer» The cost price of 10 articles is equal to selling price of 9 articles . find profit %.
2588.

You are the head of the Human Resources department of an organisation. One day one of the workers died on duty. His family was demanding compensation. However, the company denied compensation because it was revealed in an investigation that he was drunk at the time of the accident. The workers of the company went on strike demanding compensation for the family of the deceased. The Chairman of the Management board has asked for your recommendation. What recommendations would you provide the management? Discuss the merits and demerits of each of the recommendations.

Answer» You are the head of the Human Resources department of an organisation. One day one of the workers died on duty. His family was demanding compensation. However, the company denied compensation because it was revealed in an investigation that he was drunk at the time of the accident. The workers of the company went on strike demanding compensation for the family of the deceased. The Chairman of the Management board has asked for your recommendation.

What recommendations would you provide the management? Discuss the merits and demerits of each of the recommendations.
2589.

In the figure given below, ABCD is a rectangle. The area of the isosceles right triangle ,ABE=7cm2 EC= 3BE. The area of ABCD (in cm2) is:___

Answer» In the figure given below, ABCD is a rectangle. The area of the isosceles right triangle ,ABE=7cm2 EC= 3BE. The area of ABCD (in cm2) is:___
2590.

Q4. A shopkeeper had 750 kg of rice. He sold a portion of it at a certain profit percentage. The remaining 2/5th part of the whole lot was infested by pests and had to be sold at a loss of 15%. If for the entire 750 kg rice, the shopkeeper had no profit no loss, then what was the profit percentage at which the first part of rice was sold? एक दुकानदार के पास 750 कि.ग्रा. चावल था। उसने उसका कुछ हिस्सा निश्चित %, लाभ पर बेचा। पूरे लॉट के शेष 2/5वें हिस्से में बीमारी फैल गई और उसे 15 % के नुकसान पर बेचना पड़ा। यदि पूरे 750 किलो चावल पर दुकानदार को कोई लाभ या हानि नहीं हुई तो चावल का पहला हिस्सा किस लाभ % पर बेचा गया था?

Answer»

Q4. A shopkeeper had 750 kg of rice. He sold a portion of it at a certain profit percentage. The remaining 2/5th part of the whole lot was infested by pests and had to be sold at a loss of 15%. If for the entire 750 kg rice, the shopkeeper had no profit no loss, then what was the profit percentage at which the first part of rice was sold?

एक दुकानदार के पास 750 कि.ग्रा. चावल था। उसने उसका कुछ हिस्सा निश्चित %, लाभ पर बेचा। पूरे लॉट के शेष 2/5वें हिस्से में बीमारी फैल गई और उसे 15 % के नुकसान पर बेचना पड़ा। यदि पूरे 750 किलो चावल पर दुकानदार को कोई लाभ या हानि नहीं हुई तो चावल का पहला हिस्सा किस लाभ % पर बेचा गया था?


2591.

Gaurav had ₹1,38,500 with him. He could purchase a maximum of 11 sets of televisions with this amount. How much does each T.V. set cost? How much money will be left with him?

Answer» Gaurav had ₹1,38,500 with him. He could purchase a maximum of 11 sets of televisions with this amount. How much does each T.V. set cost? How much money will be left with him?
2592.

A die is thrown twice. What is the probability that: (i) 5 will not come up either time? (ii) 5 will come up at least once

Answer» A die is thrown twice. What is the probability that: (i) 5 will not come up either time? (ii) 5 will come up at least once
2593.

The difference between any two consecutive interior angles of a polygon is 5∘. If the smallest angle is 120∘, find the number of the sides of the polygon.

Answer» The difference between any two consecutive interior angles of a polygon is 5. If the smallest angle is 120, find the number of the sides of the polygon.
2594.

The number of common roots of the equations x2 – 7x + 10 = 0 and x2 – 10x + 16 = 0 is

Answer»

The number of common roots of the equations

x2 – 7x + 10 = 0 and x2 – 10x + 16 = 0 is



2595.

If m and n are both positive integers, then how less is n than m? I. m + n =20 II. m = n2

Answer»

If m and n are both positive integers, then how less is n than m?

I. m + n =20

II. m = n2


2596.

A number was divided by 97; the quotient was 286 and the remainder 14. Find the number.

Answer» A number was divided by 97; the quotient was 286 and the remainder 14. Find the number.
2597.

Question 3Which of the following equations has 2 as a root?(a) x2−4x+5=0(b) x2+3x−12=0(c) 2x2−7x+6=0(d) 3x2−6x−2=0​​​​​​​

Answer»

Question 3

Which of the following equations has 2 as a root?

(a)
x24x+5=0

(b) x2+3x12=0

(c) 2x27x+6=0

(d) 3x26x2=0​​​​​​​



2598.

If 16th of a number is subtracted from 290, the result is equal to 50% of the number. Find the number.___

Answer» If 16th of a number is subtracted from 290, the result is equal to 50% of the number. Find the number.___
2599.

Q. Three fair dice are thrown. What is the probability of rolling exactly one 6?Q. तीन पासे एक साथ उछाले जाते है। केवल एक पासे पर अंक 6 आने की प्रायिकता क्या है?

Answer»

Q. Three fair dice are thrown. What is the probability of rolling exactly one 6?


Q. तीन पासे एक साथ उछाले जाते है। केवल एक पासे पर अंक 6 आने की प्रायिकता क्या है?



2600.

Parth went to Coorg on a holiday. He wanted to make a tent using a canvas cloth and a few bamboo sticks as support. Initially, he made a sketch of the tent as shown in the figure. He wanted to make the tent as an exact replica of the sketch. So, he placed the bamboo stick DE parallel to the ground BC and AG perpendicular to the ground. Let’s analyse his sketch.In his sketch, ADE is similar to ___.[1 mark]

Answer»

Parth went to Coorg on a holiday. He wanted to make a tent using a canvas cloth and a few bamboo sticks as support. Initially, he made a sketch of the tent as shown in the figure. He wanted to make the tent as an exact replica of the sketch. So, he placed the bamboo stick DE parallel to the ground BC and AG perpendicular to the ground. Let’s analyse his sketch.





In his sketch, ADE is similar to ___.



[1 mark]