8677 + Interview Questions in Maths in Class 14 Page 136 InterviewSolution

6751.	Amit walks at a uniform speed of 4 km/h and 4 h after his start, Brijesh cycles after him at the uniform rate of 20 km/h. How far from the starting point will Brijesh catch Amit?
Answer» 15km 18km 13km 20km ANSWER :D

Discussion

6752.	The number of numbers less than 1000 that can be formed out of the digits 0,1,2,3,4 and 5, no digit being repeated, is:
Answer» a. 111 b. 212 C. can't be DETERMINED d. NONE of these ANSWER :C

Discussion

6753.	A card from a pack of 52 cards is lost. From the remaining cards ofthe pack, two cards are drawn and are found to be both diamonds. Find theprobability of the lost card being a diamond.
Answer» `39/50` `11/50` `23/25` `3/26` ANSWER :B

Discussion

6754.	What is the total production of rice in 1919-20 and 1329-30 and 1939-40?
Answer» 13,26,400 13,39,516 1142693.75 Can't be determined Answer :B

Discussion

6755.	A rectangular floor in my office has its area equal to 56 m^2. The minimum number of tiles required, if all the tiles are in square shape is:
Answer» 15 9 14 can't be determined Answer :C

Discussion

6756.	Let ABC be a triangle such that angleACB=pi/6 and let a , b and c denote the lengths of the side opposite to A ,B and C respectively. The value of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is
Answer» `-(2+sqrt3),(2+sqrt3)` `-(2+sqrt3),(2-sqrt3)` `-(2+sqrt3),(1+sqrt3)` `-(2+sqrt3),(1+sqrt3)` ANSWER :D

Discussion

6757.	A man employed in an office on the condition that he will get Rs 20 for each day he attends the office and Rs 10 will be deducted from his salary for each day he absents. If in a month of 30 working days, he earned Rs 450, find the number of days he attended the office.
Answer» 12 days 15 days 20 days 25 days Answer :d

Discussion

6758.	If the average of 42 innings of a batsman is 30. If highest and lowest innings are excluded then the average of remaining 40 innings is 28. If the difference between highest and lowest innings is 100 runs. Find his highest and lowest score.
Answer» ANSWER :120,20

Discussion

6759.	Convert the following fractions into percentages: (i) (1)/(2) (ii) (3)/(4) (iii) (4)/(5) (iv) (7)/(8)
Answer» SOLUTION :`1/2 rarr1/2xx100=50%`

Discussion

6760.	An airgun can take a maximum of 4 shotsat a balloon at some distance. The probabilities of hitting the balloon at the first, second, third and fourth shot are 0.1,0.2,0.3 and 0.4 respectively. What is the probability that the balloon is hit?
Answer» 0.6976 0.6576 0.786 none of these Answer :A

Discussion

6761.	A person sold an electronic watch at ₹ 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit, then the new selling price will be:
Answer» ₹ 132 ₹ 150 ₹ 192 ₹ 180 Answer :A

Discussion

6762.	Twonumbers, both greater than 29, have H.C.F. 29 and L.C.M. 4147. The sum of thenumbers is(a)666 (b) 669 (c) 696 (d) 966
Answer» 966 696 669 666 Answer :B

Discussion

6763.	Two numbers 34041 and 32506 when divided by a certain number of three digits, leave the same remainder. The number is:
Answer» 307 211 247 299 Answer :A

Discussion

6764.	If cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2), then find the minimum positive value of angleA.
Answer» `135^(@)` `45^(@)` `30^(@)` `105^(@)` ANSWER :D

Discussion

6765.	After defeating Ravana, Ram and his family won a lot of valuable assets in the war. It consists of horses, chariots and some land of Ravana's kingdom. The cost of each horse and chariot was Rs. 20,000 and Rs. 8,000 respectively while the cost of 1 acre land was Rs. 5000. All the property was shared among the four persons in such a way that Ram and Sita got together the same wealth as Laxman and Urmila got together. Ram got more than Sita and Laxman got more than Urmila. Ram got (1)/(3) rd horses and 20% chariots while Laxman received 50% chariots as the 50% of his total wealth. The no. of horses that Ram and Sita got together was 50% more than that of Laxman and Urmila together had. Sita got 8 horses and Urmila got 7 horses but the Ram and Sita got equal no. of Chariots and Urmila got20 chariots less than that of Laxman. Urmila got twice the land than that of sita but 20% less than Laxman. The wealth of Urmila is how many per cent less than that of Laxman :
Answer» 0.42 0.45 0.35 none of these Answer :C

Discussion

6766.	After defeating Ravana, Ram and his family won a lot of valuable assets in the war. It consists of horses, chariots and some land of Ravana's kingdom. The cost of each horse and chariot was Rs. 20,000 and Rs. 8,000 respectively while the cost of 1 acre land was Rs. 5000. All the property was shared among the four persons in such a way that Ram and Sita got together the same wealth as Laxman and Urmila got together. Ram got more than Sita and Laxman got more than Urmila. Ram got (1)/(3) rd horses and 20% chariots while Laxman received 50% chariots as the 50% of his total wealth. The no. of horses that Ram and Sita got together was 50% more than that of Laxman and Urmila together had. Sita got 8 horses and Urmila got 7 horses but the Ram and Sita got equal no. of Chariots and Urmila got20 chariots less than that of Laxman. Urmila got twice the land than that of sita but 20% less than Laxman. The wealth due to land and chariot together is how much greater, in per cent, than the wealth due to horses.
Answer» 0.25 `20%` 0.3333 none of these Answer :B

Discussion

6767.	At what rate will a sum increase by 25% in 2 years at S.I ?
Answer» 12 1/2 12 10 1/2 can't be determined Answer :A

Discussion

6768.	If the roots are same, then the. roots must be
Answer» negative rational irrational complex conjugate Answer :B

Discussion

6769.	Siimplify:- 2 * 256 * ? = 8^2 * 10^2 * 2
Answer» a. 60 b. 50 c. 46 d. NONE ofthese Answer :A

Discussion

6770.	In the given figure BC is produced to D and angleBAC=40^(@) and angle ABC=70^(@). Find the value of angleACD
Answer» `30^(@)` `40^(@)` `70^(@)` `110^(@)` ANSWER :D

Discussion

6771.	When a natural number divided by a certain divisor, we get 15 as a remainder. But when the 10 times of the same number is divided by the same divisor we get 6 as a remainder. The maximum possible number of such divisors is:
Answer» 6 7 15 can't be determined Answer :B

Discussion

6772.	If Deepesh had walked 20 km/h faster he would have saved 1 hour in the distance of 600 km.What is the usual speed of Dipesh?
Answer» 100 120 150 none of these Answer :A

Discussion

6773.	If ABCD is a parallelogram in which P and Q are the centroids of DeltaABD and DeltaBCD. then, PQ equals :
Answer» AQ AP BP DQ Answer :B

Discussion

6774.	In the given figure AD = 15 cm, AB = 20 cm and BC = CD = 25 cm. Find the area of squareABCD:
Answer» `25/4(24+25sqrt3)cm^2` `24(25+24sqrt3)cm^2` `25/2(24+25sqrt3)cm^2` NONE of the above Answer :A

Discussion

6775.	Let the vertices of a triangle ABC be (4,4) , (3,5) , (-1,-1) , then the triangle is :
Answer» a. Scalene B. equilateral c. right angled d. NONE of (a) , (b) ,(c) ANSWER :C

Discussion

6776.	Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7:4:3. What is the share of a woman?
Answer» ₹ 336 ₹ 498 ₹ 166 ₹ 256 Answer :A

Discussion

6777.	We had 1000 goats at the beginning of year 2001 and the no. of goats each year increases by 10% by giving birth (compounded annually). At the end of each year we double the no. of goats by purchasing the same no. of goats as there is the no. of goats with us at the time. What is the no. of goats at the beginning of 2004?
Answer» 10600 10648 8848 8226 Answer :B

Discussion

6778.	What will be 32% of 3/8th of 1000?
Answer» a. 115 b. 125 C. 120 d. 129 Answer :C

Discussion

6779.	30% of a number is 190.8. What will be 175% of that number?
Answer» a. 1113 b. 1115 C. 1502 d. 1002 Answer :C

Discussion

6780.	If 24 is deducted from 45% of a number result becomes 48. What will be 3/8 part of that number?
Answer» a. 140 B. 130 c. 145 d. 60 Answer :B

Discussion

6781.	What is the value of 68% of two fifth of 550?
Answer» a. 149.6 b. 150 c. 154 d. 158 Answer :A

Discussion

6782.	If 33% of A is equal to 55% of B then find the ratio of A and B?
Answer» a. 3:5 b. 5:3 c. 3:4 d. 5:4 Answer :A

Discussion

6783.	Find the value interval of x for the inequality -6lex^2-5xle6 .
Answer» (-5,4) {-3,3} `(-3,1)UU(3,4)` NONE of these Answer :C

Discussion

6784.	Rs. 41 are divided into 50 students. Each boy receives 90 paise and each girl receives 65 paise. Howmany boys and girls are present in the class?
Answer» ANSWER :`BOYS to 34, GIRLS to 16`

Discussion

6785.	If (x-1)^(2) + (y-2)^(2)= 0 then x+y= ?
Answer» ANSWER :3S

Discussion

6786.	If sec^(2)theta+tan^(2)theta=7 find sintheta,costheta&tantheta (theta in 1st qudrant).
Answer» ANSWER :`SQRT(3)`

Discussion

6787.	Let a_1,a_2,a_3 be the roots of the polynomial x^3+x^2+3x+1.Find the value ofa_1+a_2+a_3+a_1a_2+a_2a_3+a_3a_1+a_1a_2a_3
Answer» 5 6 3 1 Answer :D

Discussion

6788.	Three equal circles of unit radius touch each other. Then, the area of the circle circumscribing the three circles is:
Answer» `6PI(2+sqrt3)^(2)` `(PI)/(6)(2+sqrt3)^(2)` `(pi)/(3)(2+sqrt3)^(2)` `3PI(2+sqrt3)^(2)` Answer :C

Discussion

6789.	A rectangulargrassy lawn is 18 m by 12 m. It has a gravel path 1.5 m wide all around it on the outside. What is the area of the path .
Answer» SOLUTION :Area of LAWN`=18xx12=216m^2` TOTAL area (lawn+PATH)=`(18+3)xx(12+3)` `=21xx15=315m^2` `therfore Area of path(only)+315-216=99m^2`

Discussion

6790.	In a Delta ABC, DE\|\\|EG\|\\| BC and EF\|\\| BGand D is a midpoint of AF. Find the ratio of area of Delta DEF:DeltaABC
Answer» ANSWER :`(1)/(4)`

Discussion

6791.	From the circumcentreO of traingle ABC , perpendicular ODis drawn on BC.If angle BAC =60 , Then the value of angle BOD
Answer» `75^@` `60^@` `45^@` `80^@` ANSWER :B

Discussion

6792.	Amit walked 12 m toward east , then he turned to his right and walked 18 m. He then turned to his right and walked 12 m. He again turned to his right and walked 28 m then the again turned to his right and walked 24 m. At what distance is he from the starting point and in which direction ?
Answer» 23 m north-east 26 m north-east 26 m west 34 m north-east Answer :B

Discussion

6793.	Find the values of the following expression. (sinthetacosecthetatanthetacottheta)/(sin^2theta+cos^2theta)=?
Answer» 0 1 -1 2 Answer :B

Discussion

6794.	If costhetacosec23^(@)=1, the value of theta is
Answer» `23^(@)` `37^(@)` `63^(@)` `67^(@)` ANSWER :D

Discussion

6795.	30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days if all the 30 workers started the work.
Answer» 12 10 6 none of these Answer :C

Discussion

6796.	A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :
Answer» A) 150 B) 160 C) 170 D) 180 Answer :RS. 8000, Rs. 10000, Rs. 6000

Discussion

6797.	If (xy log(xy))/(x+y) = (yz log (yz))/(y+z) = (zxlog (zx))/(z+x), then show that x^(x) = y^(y) =z^(z)
Answer» ANSWER :`X^(x) = y^(y) =Z^(z)`

Discussion

6798.	A cycle covers 75 km distance in 3 hours. What is the distance covered by the cycle in 2 hours.?
Answer»

Discussion

6799.	Answer the questions based on the following information. Hirawala is a uber rich guy who lives in a swanky place, called Hiranandini, in Mumbai. He has 15 diamond rings and 5 daughters. If the rings are distinct, find the number of ways of distributing these rings among his 5 daughters such that no any two daughters get equal number of rings but each daughter gets at least one ring and at most 5 rings.
Answer» `^15C_5` `(15!)/(1!2!3!4!5!)XX5` `(15!)/(1!2!3!4!5!)` `(15!)/(1!2!3!4!)` ANSWER :D

Discussion

6800.	Find the average of first 96 consecutive odd numbers.
Answer» 96 95 97 1 Answer :B

Discussion

Explore topic-wise InterviewSolutions in .

Amit walks at a uniform speed of 4 km/h and 4 h after his start, Brijesh cycles after him at the uniform rate of 20 km/h. How far from the starting point will Brijesh catch Amit?

The number of numbers less than 1000 that can be formed out of the digits 0,1,2,3,4 and 5, no digit being repeated, is:

A card from a pack of 52 cards is lost. From the remaining cards ofthe pack, two cards are drawn and are found to be both diamonds. Find theprobability of the lost card being a diamond.

What is the total production of rice in 1919-20 and 1329-30 and 1939-40?

A rectangular floor in my office has its area equal to 56 m^2. The minimum number of tiles required, if all the tiles are in square shape is:

Let ABC be a triangle such that angleACB=pi/6 and let a , b and c denote the lengths of the side opposite to A ,B and C respectively. The value of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is

A man employed in an office on the condition that he will get Rs 20 for each day he attends the office and Rs 10 will be deducted from his salary for each day he absents. If in a month of 30 working days, he earned Rs 450, find the number of days he attended the office.

If the average of 42 innings of a batsman is 30. If highest and lowest innings are excluded then the average of remaining 40 innings is 28. If the difference between highest and lowest innings is 100 runs. Find his highest and lowest score.

Convert the following fractions into percentages: (i) (1)/(2) (ii) (3)/(4) (iii) (4)/(5) (iv) (7)/(8)

An airgun can take a maximum of 4 shotsat a balloon at some distance. The probabilities of hitting the balloon at the first, second, third and fourth shot are 0.1,0.2,0.3 and 0.4 respectively. What is the probability that the balloon is hit?

A person sold an electronic watch at ₹ 96 in such a way that his percentage profit is same as the cost price of the watch. If he sells it at twice the percentage profit of its previous percentage profit, then the new selling price will be:

Twonumbers, both greater than 29, have H.C.F. 29 and L.C.M. 4147. The sum of thenumbers is(a)666 (b) 669 (c) 696 (d) 966

Two numbers 34041 and 32506 when divided by a certain number of three digits, leave the same remainder. The number is:

If cos(A-B)=(1)/(2)andsin(A+B)=(1)/(2), then find the minimum positive value of angleA.

At what rate will a sum increase by 25% in 2 years at S.I ?

If the roots are same, then the. roots must be

Siimplify:- 2 * 256 * ? = 8^2 * 10^2 * 2

In the given figure BC is produced to D and angleBAC=40^(@) and angle ABC=70^(@). Find the value of angleACD

When a natural number divided by a certain divisor, we get 15 as a remainder. But when the 10 times of the same number is divided by the same divisor we get 6 as a remainder. The maximum possible number of such divisors is:

If Deepesh had walked 20 km/h faster he would have saved 1 hour in the distance of 600 km.What is the usual speed of Dipesh?

If ABCD is a parallelogram in which P and Q are the centroids of DeltaABD and DeltaBCD. then, PQ equals :

In the given figure AD = 15 cm, AB = 20 cm and BC = CD = 25 cm. Find the area of squareABCD:

Let the vertices of a triangle ABC be (4,4) , (3,5) , (-1,-1) , then the triangle is :

Rs. 4536 is divided among 4 men, 5 women and 2 boys. The ratio of share of a man, a woman and a boy is 7:4:3. What is the share of a woman?

What will be 32% of 3/8th of 1000?

30% of a number is 190.8. What will be 175% of that number?

If 24 is deducted from 45% of a number result becomes 48. What will be 3/8 part of that number?

What is the value of 68% of two fifth of 550?

If 33% of A is equal to 55% of B then find the ratio of A and B?

Find the value interval of x for the inequality -6lex^2-5xle6 .

Rs. 41 are divided into 50 students. Each boy receives 90 paise and each girl receives 65 paise. Howmany boys and girls are present in the class?

If (x-1)^(2) + (y-2)^(2)= 0 then x+y= ?

If sec^(2)theta+tan^(2)theta=7 find sintheta,costheta&tantheta (theta in 1st qudrant).

Let a_1,a_2,a_3 be the roots of the polynomial x^3+x^2+3x+1.Find the value ofa_1+a_2+a_3+a_1a_2+a_2a_3+a_3a_1+a_1a_2a_3

Three equal circles of unit radius touch each other. Then, the area of the circle circumscribing the three circles is:

A rectangulargrassy lawn is 18 m by 12 m. It has a gravel path 1.5 m wide all around it on the outside. What is the area of the path .

In a Delta ABC, DE|\|EG|\| BC and EF|\| BGand D is a midpoint of AF. Find the ratio of area of Delta DEF:DeltaABC

From the circumcentreO of traingle ABC , perpendicular ODis drawn on BC.If angle BAC =60 , Then the value of angle BOD

Amit walked 12 m toward east , then he turned to his right and walked 18 m. He then turned to his right and walked 12 m. He again turned to his right and walked 28 m then the again turned to his right and walked 24 m. At what distance is he from the starting point and in which direction ?

Find the values of the following expression. (sinthetacosecthetatanthetacottheta)/(sin^2theta+cos^2theta)=?

If costhetacosec23^(@)=1, the value of theta is

30 workers can finish a work in 20 days. After how many days should 9 workers leave the job so that the work is completed in total 26 days if all the 30 workers started the work.

A, B, C hired a car for Rs. 520 and used it for 7, 8 and 11 hours respectively. Hire charges paid by B were :

If (xy log(xy))/(x+y) = (yz log (yz))/(y+z) = (zxlog (zx))/(z+x), then show that x^(x) = y^(y) =z^(z)

A cycle covers 75 km distance in 3 hours. What is the distance covered by the cycle in 2 hours.?

Find the average of first 96 consecutive odd numbers.