8677 + Interview Questions in Maths in Class 14 Page 34 InterviewSolution

1651.	One of the diagonal of a parallelogram is 18 cm, whose adjacent sides are 16 cm and 20 cm respectively. What is the length of other diagonal?
Answer» `ROOT(2)(247) CM` 13 cm 15.2 cm 28.5 cm Answer :A

Discussion

1652.	Simplify the following expressions : 2/3 " of " 21 4/9 - 9 4/11
Answer» SOLUTION :2/3 of`21 4/9 - 9 4/11 = 2/3 XX 21 4/9 - 9 4/11 = 1465/297 = 4 277/297`

Discussion

1653.	If B sube A, whichof the followingstatementsis correct ?
Answer» A. `A uu B = B rArr A = B ` B. `A NN B = B rArr A supe B ` C. `A- B= A rArr B = B ` D. `B - A= B rArr A = B ` ANSWER :b

Discussion

1654.	In a 12 -storey house ten people enter a lift cabin. It is known that they will left in groups of 2,3 and 5 people at different storeys. The number of ways they can do so if the left does not stop to the second storey is
Answer» A. 170 B. 22 C. 720 D. NONEOF these ANSWER :A

Discussion

1655.	A person invites a party of 10 friends at dinner and place them so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the guests is
Answer» A. 45! B. 35!/3! C. 10!/(24) D. can't be determined Answer :C

Discussion

1656.	A person writes letters to six friends and be the number of ways so that at least two of the number of ways so that all the letters are in wrong envelopes. Then x−y=
Answer» A. 200 B. 1001 C. 265 D. 454 Answer :B

Discussion

1657.	Ten different letters of an alphabet are given, words with five letters are formed form these given letters. Then the number of words which have at least one letter repeated is
Answer» A. 69760 B. 678900 C. 35678 D. NONE of these Answer :D

Discussion

1658.	A lad was asked his age by his friend. The lad said , "The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is:
Answer» 21 28 14 25 Answer :C

Discussion

1659.	Find the unit’s digit in the product of 37562^(156!) and 6787^(675!)
Answer» 4 0 8 6 Answer :D

Discussion

1660.	Factorization of Polynomial or expression- x^(2) + 7xy + 12y^(2)
Answer» ANSWER :`(x+3y) (x+4y)`

Discussion

1661.	There are two containers the first contain, 1litre pure water and the second contains 1 litre of pure milk. Now 5 cups of water from the first container is taken out is mixed well in the second container. Then 5 cups of this mixture is taken out and is mixed in the first container. Let A denote the proportion of milk in the first container and B denote the proportion of water in the second container then:
Answer» a. `ALTB` B. `A=B` C. `AGTB` d. can't be determined Answer :B

Discussion

1662.	LCM of two numbers is 2079 and their HCF is 27. If one of the number is 189, the other number is :
Answer» 297 584 189 216 Answer :A

Discussion

1663.	"Help India Foundation" and "People for People Organisation" decided to distribute the blankets among 22 men and 28 women who are Tsunami victims. When HIF and PPO distributed their respective blankets evenly among 28 women they were left with 24 and 16 blankets respectively. If they distributed their blankets evenly among 22 men they were left with 12 blankets each. So finally they decided to combine all their blankets and then distributed among 22 men and 28 women altogether then no any blanket remained undistributed . Minimum total blankets distributed by them were:
Answer» 960 700 1300 none of these Answer :C

Discussion

1664.	The productof two numbers is 2028 and their H.C.F. is 13. The number of such pairs is(a) 1 (b) 2 (c) 3 (d) 4
Answer» 1 2 3 4 Answer :B

Discussion

1665.	The taxi charges in a city contain fixed charges and additional charge/km. The charge for a distance of 10 km is Rs 350 and for 25 km is Rs 800. The chargefor a distanceof 30 km is:
Answer» RS 900 Rs 950 Rs 800 Rs 750 Answer :B

Discussion

1666.	Rahul earns ₹ 28000 per month and Ramesh earns ₹ 36000 per month. Find the ratio of Rahul's salary to Ramesh's salary.
Answer» SOLUTION :REQUIRED RATIO`=(28,000)/(36,000)=7/9`

Discussion

1667.	How manynumbersof 5 digitscan beformedwith thedigits0,2,3,4 and 5if thedigitsmayrepeat ?
Answer» 2500 250 120 2400 Answer :A

Discussion

1668.	The ratio A, B and C of last year income is 3:4:5. The ratio of A, B and C last year and curent year is 4:5, 2:3, 3 :4 respectively. If sum of income of A, B, and C is Rs. 78800, then find out curent income of A, B, and C separately.
Answer» `18000,28800,32000` `18000,28000,32000` `18000,28000,32000` `18000,28000,32000` ANSWER :A

Discussion

1669.	10xx20xx30xx40xx------xx1000
Answer» ANSWER :`=124`

Discussion

1670.	If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is
Answer» `(1-a_(1))^(2)+(a_(0)-a_(2))^(2)` `(1+a_(1))^(2)-(a_(0)+a_(2))^(2)` `(1+a_(1))^(2)+(a_(0)+a_(2))^(2)` none of these Answer :B

Discussion

1671.	The ratio of length of each equal side and the third side of an isosceles triangle is 3:4. If the area of the triangle is 18√5 sq units, the third side is
Answer» a.42 units B. 12 units c. 16 units d. 50 units Answer :B

Discussion

1672.	Divide 1224 into three parts such that first part be double that of second part and second part be 1/3 of the third part.
Answer» SOLUTION :Let A,B and C be THREE parts RESPECTIVELY, then A:B=2:1 and B:C =1:3 A:B:C=2:1,3`therefore A=1224xx2/6=408 B=1224xx1/6=204rArr C=1224xx 3/6= 612

Discussion

1673.	If a + b = n , n in I and ab = 60 then n cannont be equal to :
Answer» 33 -19 17 32 Answer :A

Discussion

1674.	The smallest number of five digits exactly divisible by 476 is
Answer» 47600 10000 10476 10472 Answer :D

Discussion

1675.	How many 4 digit positive number are there which are divisible by 5 ?
Answer» 1800 1500 2000 1600 Answer :A

Discussion

1676.	Aishwarya is going to cover a distance of 360 km from Ambala to Khandala. The first one-third of the distance she covers on a cycle. The second one-third she covers by an auto-rickshaw and the remaining distance she travels by car. The average speed of the journey by a car is 5 times the average speed by cycle and 20 km/h more than the average speed by auto-rickshaw, but she took 1 hour more by auto-rickshaw than by car. What is the distance covered by her in last five hours of her journey?
Answer» 250 km 240 km 200 km can't be determined Answer :B

Discussion

1677.	The sum of three numbers in AP is 12 and sum of their cubes is 408 find the product of the numbers:
Answer» 17 35 28 36 Answer :C

Discussion

1678.	A cone is made of a sectorwith a radius of 14 cm and an angle of60^(@). Whatis total surface area of the cone ?
Answer» `119.78 CM^(2) ` `191.87 cm^(2) ` `196.5 cm^(2) ` NONE of these ANSWER :A

Discussion

1679.	A ship60 km from the shore spring a leak which admits 3(3)/(4) tonnes of water in 15 min. 25 tonnes of water would suffer to sink her, but the pumps can thrown out 12(1)/(2) tonnes of water an hour. Find the average rate of sailing that the she may just reach the shore as she begins to sink.
Answer» ANSWER :6 km/h

Discussion

1680.	A rectangle of maximum area is drawn inside a circle of diameter 5 cm. What is the maximum area of such a rectangle?
Answer» `25 cm^(2)` `12 cm^(2)` `12.5 cm^(2)` None of these Answer :C

Discussion

1681.	64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3 ?
Answer» A) 168 B) 201 C) 147 D) 154 Answer :C

Discussion

1682.	A man sold two watches,each for Rs 495 .If he gained 10% on one watch and suffered a loss of10% on the other, then what is the loss or gain percentage in the transaction?
Answer» 1% GAIN 1% loss 100/99% loss Neither gain nor loss Answer :B

Discussion

1683.	A shopkeeper sells a transistors at 15% above its cost price. If he had bought it at 5% more than what he paid for it and sold it for6 Rs. more, he would have gained 10%. The cost price of the transistor is
Answer» 800 1000 1200 1400 Answer :C

Discussion

1684.	If alpha and beta are the roots of equation 6x^(2)+x-2=0, find the value of (alpha)/(beta)+(beta)/(alpha):
Answer» `-25/12` `-12/75` `-4/9` none Answer :A

Discussion

1685.	Find all the values of x that satisfy (\|x-1\|-3)(\|x+2\|-5)lt0
Answer» `(-7,-2)` (3,4) `(-7,4)-(-2,3)` `(-7,-2)UU(3,4)` ANSWER :D

Discussion

1686.	The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?
Answer» 1 5.9236111111111 4.6 none of these Answer :C

Discussion

1687.	A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchange their places, find the number :
Answer» 62 34 26 43 Answer :B

Discussion

1688.	A garrison of 750 men has provision for 20 weeks. If at the end of 4 weeks they are reinforced by 450 men, how long will the remaining provision last?
Answer» 10 weeks 11 weeks 15 weeks 16 weeks Answer :A

Discussion

1689.	A man had a certain amount with him. He spent 25%of that to buy an article and 10%of the remaining on clothes. Then he donated Rs 531.25. If he is left with Rs. 8000 the amount he spent on the clothes is
Answer» ANSWER :RS. 947.916

Discussion

1690.	In the word RAINBOWhowmanywordsare therein whichvowelsare never together ?
Answer» 720 1440 360 3600 Answer :B

Discussion

1691.	I.x^(32) - 218 = 106II.y^(2) - 37y+342 = 0
Answer» ` x gt y` ` x ge y` `x lt y` `x le y` Solution :I. ` x^(32) = 106 + 218 = 324` `:.X= sqrt(324) = PM 18` II. ` y^(2) - 37y + 342 = 0` ` RARR y^(2) - 18Y- 19y + 342 = 0` ` rArry(y-18)- 19 ( y - 18) = 0` ` rArr(y- 19) (y- 18) = 0` ` rArry = 19 or 18`

Discussion

1692.	If a+b+c=0 then a^(2)+b^(2)+c^(2) is
Answer» 0 `2(a^2-bc)` `-4(ab+bc+ca)` `-2(ab+bc+ca)` ANSWER :D

Discussion

1693.	If x^2-ax-45=0 and x^2-3ax+27=0,(agt0) has a has a common root then the value of a is
Answer» a) 5 b) `pm7` C) `pm8` d) 4 Answer :D

Discussion

1694.	After travelling 80 km, a train meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 min late. Had the accident occurred 24 km further, it would have reached the destination only 25 min late. Find the speed of the train.
Answer» 50km/h 30 km/h 48 km/h 55 km/h Answer :C

Discussion

1695.	Water flows into a tank 180 m x 140 m through a rectangular × pipe of 1.2m x 0.75m at a rate of 15 km/h. In what time will the water rise by 4 m? 15 किमी / घंटा की दर से 1.2 मीटर 0.75 मीटर के आयताकार पाइप के माध्यम से एक टैंक 180 मीटर 140मीटर में पानी बहता है। किस समय में पानी 4 मीटर बढ़ जाएगा?
Answer» 96 MIN 50 min 48 min 75 min Answer :C

Discussion

1696.	There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If C_1 and C_5 are similar in all aspects, in how many ways can you arrange the caps in such a way that all the boxes have one cap?
Answer» A) 70 B) 60 C) 75 D) 80 Answer :B

Discussion

1697.	Simplify the following expressions : 2/15 div5/4
Answer»

Discussion

1698.	There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If all the caps are identical, in how many ways can the caps be arranged in the different boxes such that no box is empty?
Answer» 1 2 6 8 Answer :A

Discussion

1699.	There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If all the caps are of different colors and each box can have only one cap, in how many ways can you arrange the caps among the 5 boxes?
Answer» 400 485 500 365 Answer :C

Discussion

1700.	There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If B_3 can have only C_1 or C_5, in how many ways can you arrange the caps such that all boxes have one cap?
Answer» 480 420 48 88 Answer :C

Discussion

Explore topic-wise InterviewSolutions in .

One of the diagonal of a parallelogram is 18 cm, whose adjacent sides are 16 cm and 20 cm respectively. What is the length of other diagonal?

Simplify the following expressions : 2/3 " of " 21 4/9 - 9 4/11

If B sube A, whichof the followingstatementsis correct ?

In a 12 -storey house ten people enter a lift cabin. It is known that they will left in groups of 2,3 and 5 people at different storeys. The number of ways they can do so if the left does not stop to the second storey is

A person invites a party of 10 friends at dinner and place them so that 4 are on one round table and 6 on the other round table. The number of ways in which he can arrange the guests is

A person writes letters to six friends and be the number of ways so that at least two of the number of ways so that all the letters are in wrong envelopes. Then x−y=

Ten different letters of an alphabet are given, words with five letters are formed form these given letters. Then the number of words which have at least one letter repeated is

A lad was asked his age by his friend. The lad said , "The number you get when you subtract 25 times my age from twice the square of my age will be thrice your age". If the friend's age is 14, then the age of the lad is:

Find the unit’s digit in the product of 37562^(156!) and 6787^(675!)

Factorization of Polynomial or expression- x^(2) + 7xy + 12y^(2)

LCM of two numbers is 2079 and their HCF is 27. If one of the number is 189, the other number is :

The productof two numbers is 2028 and their H.C.F. is 13. The number of such pairs is(a) 1 (b) 2 (c) 3 (d) 4

The taxi charges in a city contain fixed charges and additional charge/km. The charge for a distance of 10 km is Rs 350 and for 25 km is Rs 800. The chargefor a distanceof 30 km is:

Rahul earns ₹ 28000 per month and Ramesh earns ₹ 36000 per month. Find the ratio of Rahul's salary to Ramesh's salary.

How manynumbersof 5 digitscan beformedwith thedigits0,2,3,4 and 5if thedigitsmayrepeat ?

The ratio A, B and C of last year income is 3:4:5. The ratio of A, B and C last year and curent year is 4:5, 2:3, 3 :4 respectively. If sum of income of A, B, and C is Rs. 78800, then find out curent income of A, B, and C separately.

10xx20xx30xx40xx------xx1000

If alpha, beta, gamma, are the roots of the equation x^(3)+3x-1=0, then equation whose roots are alpha^(2),beta^(2),gamma^(2) is

The ratio of length of each equal side and the third side of an isosceles triangle is 3:4. If the area of the triangle is 18√5 sq units, the third side is

Divide 1224 into three parts such that first part be double that of second part and second part be 1/3 of the third part.

If a + b = n , n in I and ab = 60 then n cannont be equal to :

The smallest number of five digits exactly divisible by 476 is

How many 4 digit positive number are there which are divisible by 5 ?

The sum of three numbers in AP is 12 and sum of their cubes is 408 find the product of the numbers:

A cone is made of a sectorwith a radius of 14 cm and an angle of60^(@). Whatis total surface area of the cone ?

A ship60 km from the shore spring a leak which admits 3(3)/(4) tonnes of water in 15 min. 25 tonnes of water would suffer to sink her, but the pumps can thrown out 12(1)/(2) tonnes of water an hour. Find the average rate of sailing that the she may just reach the shore as she begins to sink.

A rectangle of maximum area is drawn inside a circle of diameter 5 cm. What is the maximum area of such a rectangle?

64 boys and 40 girls form a group for social work. During their membership drive, the same number of boys and girls joined the group. How many members does the group have now, if the ratio of boys to girls is 4:3 ?

A man sold two watches,each for Rs 495 .If he gained 10% on one watch and suffered a loss of10% on the other, then what is the loss or gain percentage in the transaction?

A shopkeeper sells a transistors at 15% above its cost price. If he had bought it at 5% more than what he paid for it and sold it for6 Rs. more, he would have gained 10%. The cost price of the transistor is

If alpha and beta are the roots of equation 6x^(2)+x-2=0, find the value of (alpha)/(beta)+(beta)/(alpha):

Find all the values of x that satisfy (|x-1|-3)(|x+2|-5)lt0

The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other two is 3.85. What is the average of the remaining two numbers ?

A two digit number is such that the product of its digits is 12. When 9 is added to the number, the digits interchange their places, find the number :

A garrison of 750 men has provision for 20 weeks. If at the end of 4 weeks they are reinforced by 450 men, how long will the remaining provision last?

A man had a certain amount with him. He spent 25%of that to buy an article and 10%of the remaining on clothes. Then he donated Rs 531.25. If he is left with Rs. 8000 the amount he spent on the clothes is

In the word RAINBOWhowmanywordsare therein whichvowelsare never together ?

I.x^(32) - 218 = 106II.y^(2) - 37y+342 = 0

If a+b+c=0 then a^(2)+b^(2)+c^(2) is

If x^2-ax-45=0 and x^2-3ax+27=0,(agt0) has a has a common root then the value of a is

After travelling 80 km, a train meets with an accident and then proceeds at 3/4 of its former speed and arrives at its destination 35 min late. Had the accident occurred 24 km further, it would have reached the destination only 25 min late. Find the speed of the train.

There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If C_1 and C_5 are similar in all aspects, in how many ways can you arrange the caps in such a way that all the boxes have one cap?

Simplify the following expressions : 2/15 div5/4

There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If all the caps are identical, in how many ways can the caps be arranged in the different boxes such that no box is empty?

There are 5 different caps c_1,c_2,c_3,c_4 and c_5 and 5 different boxes B_1,B_2,B_3,B_4 and B_5. The capacity of each box is sufficient to accommodate all the 5 caps. If B_3 can have only C_1 or C_5, in how many ways can you arrange the caps such that all boxes have one cap?