8677 + Interview Questions in Maths in Class 14 Page 24 InterviewSolution

1151.	The S = {(1,3,5,7,9,…..99)(102,104,106,…,200)} i.e., in the first part there are odd integers less than 100 and in the second part there are even integers greater than 100, but upto 200. The highest power of 3 in the product of the element of the set is :
Answer» 52 51 97 can't be DETERMINED ANSWER :A

Discussion

1152.	The three medians AD, BE and CF of DeltaABC intersect at point G. If the area of DeltaABC is 60 sq.cm. then the area of the quadrilateral BDGF is :
Answer» 10 sq.cm 15 sq.cm 20 sq.cm 30 sq.cm Answer :C

Discussion

1153.	ABCD is a parallelogram, P and Q are the points on the diagonal AC such that AP = QC, then quadrilateral BPDQ is a :
Answer» TRAPEZIUM parallelogram square none of these Answer :B

Discussion

1154.	multiply (5x-4) by (3x+5)
Answer» SOLUTION :`(5x-4)XX(3x+5)=5XX(3x+5)-4(3x+5)=15x^2+25x-12x-20=15x^2+13x-20`

Discussion

1155.	If A Rhombus having angle A = 60^(@) . Diagonal BD = 5 am find area and otherdiagonal .
Answer» Answer :`d_(2) = 5 SQRT(3)` cm

Discussion

1156.	Findthe value of y where the graph of3x^2+19xx-18=0 intersects the Y-axis.
Answer» `-18` 0 4 16 Answer :A

Discussion

1157.	20 women together can complete a work in 16 days. 16 men together can complete the same work in 15 days. The ratio of the working capacity of a man to that of a woman is :
Answer»

Discussion

1158.	If the decimal number 2^(111) is written in the octal system, then what is its unit place digit ?
Answer» a. 0 b. 1 c. 2 d. 3 Answer :A

Discussion

1159.	A train A is 180 m long,while another train B is 240 m long.A has a speed of 30km/h and B's speed is 40 km/h. If the trains move in opposite directions, find when will ApassBcompletely?
Answer» a. 21s B. 21.6s c. 26.1s d. 26s Answer :B

Discussion

1160.	Shopkeeper purchased some goods for ₹ 900 and sold one- third of the goods at a loss of what 12%, then at what gain % should the remainder goods he sold to gain 18% profit on the whole transaction?
Answer» 0.31 0.26 0.33 0.18 Solution :`1//3^(RD)` at 12 LOSS `= (900)/(3) = 300 xx (88)/(100) = 264` `900 xx 18//100 = 162 rArr 600 + 162 + 36 = 798` `(198)/(600) xx 100= 33%`

Discussion

1161.	6((y-3)/(2y+1))+1=5sqrt((y-3)/(2y+1)), y ne (1)/(2):
Answer» `4, (13)/(2)` `4, (11)/(2)` `(13)/(2), (9)/(2)` NONE of these Answer :A

Discussion

1162.	Find the remainder of (3^(9415))/(80).
Answer» Solution :REM `3^9415/80=Rem(3^9412xx3^3)/80` =Rem `(3^4)^2353xx3^3/80` =Rem `(81^2353)xx3^3/80`=Rem`1xx27/80`=Rem27/80` THUS the remainder is 27.

Discussion

1163.	The total no. of students in the school are 1250.40% of the students are girls. Find the number of boys.
Answer» 555 600 777 none of these Answer :B

Discussion

1164.	Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n
Answer» `((2n-3)/2^n)` `((2n-3)/2^n)` `(2n+3/2^n)` NONE of these Answer :B

Discussion

1165.	There are 25 students in a class with 15 boys and 10 girls. The class teacher selects either a boy or a girl for monitor post of the class. In how many ways, the class teacher can make this selection?
Answer» ANSWER :25

Discussion

1166.	If a,b,c gt 0 then (a)/( a + b + c) = (b)/( a + b + c) = (c )/(a + b + c) = ?
Answer» `5/9` `1/3` `7/3` `2/3` ANSWER :B

Discussion

1167.	A person usually spent Rs. 48 to buy groundnuts for roasting and resale. On one occasion he could buy 1.5 kg of groundnut less for Rs 48 as the price had gone up by 25% . What was the earlier price of groundnut per kg?
Answer» ANSWER : RS. 6.40

Discussion

1168.	Find the cost of colouring the total surface of the right circular cone in example 15 , if the rate of colouring is 14 paise per sq m .
Answer» ANSWER :`=RS. 52.36`

Discussion

1169.	If 10-10 elements are transferred from Set A to Set B,then Set B to Set C and then from Set C to Set A but the received elements cannot be transferred to the next set. e.g. the elements obtained from Set A cannot be transferred to C through Set B. The average of which Set is maximum
Answer» (a) A (B) B (C) C (d) can't be determined Answer :D

Discussion

1170.	A train without stoppage travel with an average speed of 50 km/h and with stoppage, it travels with an average speed of 40 km/h. For how many minutes does the train stop on an average per hour? बिना रुके हुए कोई ट्रेन 50 किमी/घंटा की औसत चाल से चलती है तथा रुक-रुक कर यह 40 किमी/घंटा की औसत चाल से चलती है \| हर घंटे यह ट्रेन औसतन कितने मिनट रूकती है ?
Answer» 6 MIN 12 min 18 min 14 min Answer :B

Discussion

1171.	If you save 1 paisa today, 2paise the next day, 3 paise the succeding day and so on what will be your total savings( in paise) in 365 days?
Answer» 665.79 66795 56795 none of these Answer :B

Discussion

1172.	In three vessels, each of 25 litres capacity, mixture of milk and water is filled. The ratio of milk and water are 3:1,2:3,4:3 in the respective vessels. If all the three vessels are emptied into a single large vessel, then that will be the ratio of water to milk in the resultant mixture?
Answer» 179:241 197:214 219:117 179:234 Answer :A

Discussion

1173.	Find the number of ways of selecting 4 letters from the word EXAMINATION.
Answer» 136 126 252 525 Answer :A

Discussion

1174.	Find tan1^(@).tan2^(@)……………….tan89^(@)
Answer» ANSWER :1

Discussion

1175.	60% goods are sold at 5% loss while rest are sold at 10% profit. If there is a total profit of ₹ 100, then the worth of goods sold is:
Answer» ₹ 6000 ₹ 5000 ₹ 10000 none of these Answer :C

Discussion

1176.	Ajay and kajol start towards each other at the same time from barabanki and Fatehpur for their destinations Fatehpur and barabanki respectively which are 300 km apart. They meet each other 120km away from barabanki. What is the minimum speed of shahrukh to overtake Ajay , before he meets Kajol? (use the data from previous Question, if necessary)
Answer» 30 40 60 none of these Answer :D

Discussion

1177.	If sectheta+tantheta=3, then find the value of sectheta.
Answer» `(3)/(4)` `(5)/(3)` `(1)/(6)` 9 Answer :B

Discussion

1178.	Ram goes 18 km downstream and then upstream. It takes 9 hours more to return than to go. If he doubles his speed then it takes 1 hour more to come upstream than to go downstream. Find the speed of the stream.
Answer» SOLUTION :N/A

Discussion

1179.	The number of divisors of the form 4K + 2 , K ge 0of the integers 240 is
Answer» 6 4 3 12 Answer :B

Discussion

1180.	If p=4 , q=-3, r=2 find the value of 4p^2+5q-12r
Answer» SOLUTION :`4a^2+5b-12c=4xx(4)^2+5(-3)-12(2)=64-15-24=25`

Discussion

1181.	If the expression px^3 - 2x^2 - qx + 18 is completely divisible by (x^2- 9), what are the ratio between p and q respectively?
Answer» `1:9` `1:3` `3:1` `9:1` ANSWER :A

Discussion

1182.	A can do a job in 15 days, B in 10 days and C in 30 days. If A is helped by B and C on every third day, then the job will be completed in
Answer» `6 (1)/(3)` DAYS `8 (1)/(3)` days 8 days 9 days Answer :D

Discussion

1183.	Solve the followings : (a^(m-n))^(1) xx (a^(n-1))^m xx (a^(1 - m))^(n)
Answer» both A and R are TRUE and R is the correct explanation of A both A and R are true and R is not the correct explanation of A A is true , but R is FALSE A is false, but R is true ANSWER :A

Discussion

1184.	What is the average age of children in the class ? A. Age of the teacher is as many years as the number of children. B. Average age increased by 2 year, if the teachers age is also included.
Answer» if the data instatement A alone is sufficient to answer the question. if the data in statement B alone is sufficient to answer the question. if the data either in statement A alone or instatement B alone is suffieient to answer the question if the data given in both statements A and B TOGETHER are not sufficient to answer the question. Solution :Let the number of children by X `""…(i)` From statement A we get, techer's age =x From statement B we get, Average age of `(x+1)` PERSONS `=(x+2)` `therefore"Techer's age"=(x+2)(x+1)=x^(2)` `=x^(2)+3x+2-x^(2)=3x+2""...(ii)` From (i) and (ii) also we cannot FIND the average age of the children.

Discussion

1185.	A trader sells total 315 TV sets. He sells black and white TV sets at a loss of 6% and colour TV sets at a profit of 15%. Thus he gains 9% on the whole. The no. of B/W TV sets, which he has sold, is:
Answer» 126 216 135 90 Answer :D

Discussion

1186.	Let A and B be independent events such that P(A)=0.6 and P(B)=0.5 find P(A uu B).
Answer» 0.24 0.76 0.36 none of these Answer :B

Discussion

1187.	A sells a bicycle to B at a profit of 30% and B sells it to C at a loss of 20%. If C pays Rs 520 for it, at what price did A buy?
Answer» ANSWER :RS. 500

Discussion

1188.	For what value of 'k', k-3, 2k+1 and 4k+3 are in A.P.?
Answer» ANSWER :B

Discussion

1189.	Find the Area of triangle formed by 3 lines y=2x" "3x+5y=65 and y axis
Answer» ANSWER :`32.5` SQ. UNITS

Discussion

1190.	A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If two caps are picked at random, what is the probability that atleast one is red ?
Answer» `1/3` `16/21` `19/33` `7/19` ANSWER :C

Discussion

1191.	Two bullets are fired from a place at an interval of 11 minutes. A person approaching that place hears it at the gap of 10 minutes. If speed of sound in 330 m/s then what is the speed of person.
Answer» ANSWER : 33 m/s

Discussion

1192.	After travelling 200 km a train met with an accident and its speed became 4/5th of its actual speed and reached 45 minutes late. If this accident had happened after 40 more kms the train would have reached the station 30 minutes late. Find out the distance and speed of train.
Answer» ANSWER : 134 KM, 48 km/h

Discussion

1193.	Find the total simple interest on ₹ 700 at 8% per annum and on ₹ 1600 at 7% p.a. for 2 years
Answer» SOLUTION :`SI=(p_1r_1t_1)/100+(p_2r_2t_2)/100+(p_3r_3t_3)/100=(800xx7xx2)/100+(700xx16xx2)/100+(500xx4xx2)/100=112+224++40=₹376`

Discussion

1194.	The ratio of the 7th to the 3rd terms of an A.P. is 12:5, find the ratio of the 13th to 4th term :
Answer» 0.54652777777778 0.16875 0.41875 none of these Answer :C

Discussion

1195.	The triangle is formed by joining the mid-points of the sides AB,BC and CA of triangle ABCand the area of triangle PQR is 6cm^2, then the area of triangle ABC is :
Answer» `36cm^2` `12cm^2` `18cm^2` `24cm^2` ANSWER :D

Discussion

1196.	Find the value of ((1)/(costheta)+(1)/(cottheta))((1)/(costheta)-(1)/(cottheta)).
Answer» 0 `-1` 1 2 Answer :C

Discussion

1197.	If the side of a regular pentagon be 7 cm, find the circumference of the pentagon, in cm.
Answer» 28 cm 35 cm 42 cm none of these Answer :B

Discussion

1198.	Two trains leave Patna for Delhi at 10:00am and 10:30am respectively and travel at 120 km/h and 150 km/h, respectively. How many kilometres from Patna, will the two trains meet?
Answer» ANSWER :`=300 KM`

Discussion

1199.	A cistern has a leak which would empty it in 6 hours. A tap is turned on which fills the cistern @ 10 liters per hour and then it is emptied in IS hours. What is the capacity of the cistern?
Answer» 100 LITRES 166.66 litre 60.66 litre none of these Answer :A

Discussion

1200.	There were 8 participants in challenge of Shooting and the average score was 87. The winner got 2 more score than the first runner up. Average of rest 6 participants is 85. What are the scores of winner and 1st runner up.
Answer» ANSWER :94,92

Discussion

Explore topic-wise InterviewSolutions in .

The S = {(1,3,5,7,9,…..99)(102,104,106,…,200)} i.e., in the first part there are odd integers less than 100 and in the second part there are even integers greater than 100, but upto 200. The highest power of 3 in the product of the element of the set is :

The three medians AD, BE and CF of DeltaABC intersect at point G. If the area of DeltaABC is 60 sq.cm. then the area of the quadrilateral BDGF is :

ABCD is a parallelogram, P and Q are the points on the diagonal AC such that AP = QC, then quadrilateral BPDQ is a :

multiply (5x-4) by (3x+5)

If A Rhombus having angle A = 60^(@) . Diagonal BD = 5 am find area and otherdiagonal .

Findthe value of y where the graph of3x^2+19xx-18=0 intersects the Y-axis.

20 women together can complete a work in 16 days. 16 men together can complete the same work in 15 days. The ratio of the working capacity of a man to that of a woman is :

If the decimal number 2^(111) is written in the octal system, then what is its unit place digit ?

A train A is 180 m long,while another train B is 240 m long.A has a speed of 30km/h and B's speed is 40 km/h. If the trains move in opposite directions, find when will ApassBcompletely?

Shopkeeper purchased some goods for ₹ 900 and sold one- third of the goods at a loss of what 12%, then at what gain % should the remainder goods he sold to gain 18% profit on the whole transaction?

6((y-3)/(2y+1))+1=5sqrt((y-3)/(2y+1)), y ne (1)/(2):

Find the remainder of (3^(9415))/(80).

The total no. of students in the school are 1250.40% of the students are girls. Find the number of boys.

Find the sum to n terms :1/2+3/2^2+5/2^3+...+(2n-1)/2^n

There are 25 students in a class with 15 boys and 10 girls. The class teacher selects either a boy or a girl for monitor post of the class. In how many ways, the class teacher can make this selection?

If a,b,c gt 0 then (a)/( a + b + c) = (b)/( a + b + c) = (c )/(a + b + c) = ?

A person usually spent Rs. 48 to buy groundnuts for roasting and resale. On one occasion he could buy 1.5 kg of groundnut less for Rs 48 as the price had gone up by 25% . What was the earlier price of groundnut per kg?

Find the cost of colouring the total surface of the right circular cone in example 15 , if the rate of colouring is 14 paise per sq m .

If 10-10 elements are transferred from Set A to Set B,then Set B to Set C and then from Set C to Set A but the received elements cannot be transferred to the next set. e.g. the elements obtained from Set A cannot be transferred to C through Set B. The average of which Set is maximum

If you save 1 paisa today, 2paise the next day, 3 paise the succeding day and so on what will be your total savings( in paise) in 365 days?

In three vessels, each of 25 litres capacity, mixture of milk and water is filled. The ratio of milk and water are 3:1,2:3,4:3 in the respective vessels. If all the three vessels are emptied into a single large vessel, then that will be the ratio of water to milk in the resultant mixture?

Find the number of ways of selecting 4 letters from the word EXAMINATION.

Find tan1^(@).tan2^(@)……………….tan89^(@)

60% goods are sold at 5% loss while rest are sold at 10% profit. If there is a total profit of ₹ 100, then the worth of goods sold is:

If sectheta+tantheta=3, then find the value of sectheta.

Ram goes 18 km downstream and then upstream. It takes 9 hours more to return than to go. If he doubles his speed then it takes 1 hour more to come upstream than to go downstream. Find the speed of the stream.

The number of divisors of the form 4K + 2 , K ge 0of the integers 240 is

If p=4 , q=-3, r=2 find the value of 4p^2+5q-12r

If the expression px^3 - 2x^2 - qx + 18 is completely divisible by (x^2- 9), what are the ratio between p and q respectively?

A can do a job in 15 days, B in 10 days and C in 30 days. If A is helped by B and C on every third day, then the job will be completed in

Solve the followings : (a^(m-n))^(1) xx (a^(n-1))^m xx (a^(1 - m))^(n)

What is the average age of children in the class ? A. Age of the teacher is as many years as the number of children. B. Average age increased by 2 year, if the teachers age is also included.

A trader sells total 315 TV sets. He sells black and white TV sets at a loss of 6% and colour TV sets at a profit of 15%. Thus he gains 9% on the whole. The no. of B/W TV sets, which he has sold, is:

Let A and B be independent events such that P(A)=0.6 and P(B)=0.5 find P(A uu B).

A sells a bicycle to B at a profit of 30% and B sells it to C at a loss of 20%. If C pays Rs 520 for it, at what price did A buy?

For what value of 'k', k-3, 2k+1 and 4k+3 are in A.P.?

Find the Area of triangle formed by 3 lines y=2x" "3x+5y=65 and y axis

A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If two caps are picked at random, what is the probability that atleast one is red ?

Two bullets are fired from a place at an interval of 11 minutes. A person approaching that place hears it at the gap of 10 minutes. If speed of sound in 330 m/s then what is the speed of person.

After travelling 200 km a train met with an accident and its speed became 4/5th of its actual speed and reached 45 minutes late. If this accident had happened after 40 more kms the train would have reached the station 30 minutes late. Find out the distance and speed of train.

Find the total simple interest on ₹ 700 at 8% per annum and on ₹ 1600 at 7% p.a. for 2 years

The ratio of the 7th to the 3rd terms of an A.P. is 12:5, find the ratio of the 13th to 4th term :

The triangle is formed by joining the mid-points of the sides AB,BC and CA of triangle ABCand the area of triangle PQR is 6cm^2, then the area of triangle ABC is :

Find the value of ((1)/(costheta)+(1)/(cottheta))((1)/(costheta)-(1)/(cottheta)).

If the side of a regular pentagon be 7 cm, find the circumference of the pentagon, in cm.

Two trains leave Patna for Delhi at 10:00am and 10:30am respectively and travel at 120 km/h and 150 km/h, respectively. How many kilometres from Patna, will the two trains meet?

A cistern has a leak which would empty it in 6 hours. A tap is turned on which fills the cistern @ 10 liters per hour and then it is emptied in IS hours. What is the capacity of the cistern?

There were 8 participants in challenge of Shooting and the average score was 87. The winner got 2 more score than the first runner up. Average of rest 6 participants is 85. What are the scores of winner and 1st runner up.