8677 + Interview Questions in Maths in Class 14 Page 121 InterviewSolution

6001.	Amit borrowed ₹ 800 at 10% rate of interest. He repaid ₹ 400 at the end of first year. What is the amount required to pay at the end of second year to discharge his loan which- was calculated at compound interest?
Answer» 420 440 450 528 Answer :D

Discussion

6002.	sin^(2)88^(@)+cos^(2)88^(@)=?
Answer» `(1)/(2)` `SQRT(3)` 1 `(1)/(3)` Answer :C

Discussion

6003.	ABCDE is a regular pentagon. Angle bisectorof angle BAEmeets CD at m. angle bisector of angle BCDmeetsAM at P. Find the angle CPM= ?
Answer» 30 35 36 60 Answer :`ANGLE CPM = 34^(@)`

Discussion

6004.	If ab + bc + ca = 0, then the value of 1/(a^2-bc) + 1/(b^2-ca) + 1/(c^2-ab) will be:
Answer» -1 a + B + c abc 0 Answer :D

Discussion

6005.	If P denotes the perimeter and S denotes the sum of the distances of a point within a triangle from its angular points, then
Answer» <P>`P gt S` `P LES` `S lt P` `Sle P` ANSWER :C

Discussion

6006.	If a+ b + c = 0 , then the value of a^3 + b^3 + c^3 is :
Answer» 0 abc 3abc none of these Solution :`THEREFORE a^3+b^3+c^3-3abc` `=(a+b+c)(a^2+b^2+c^2-ab-bc-ac)` or `a^3+b^3+c^3-3abc=0` `RARR a^3+b^3+c^3=3abc`

Discussion

6007.	If cosalpha+cosbeta=0=sinalpha+sinbeta, then cos2alpha+cos2beta=?
Answer» `-2SIN(alpha+beta)` `2COS(alpha+beta)` `2sin(alpha+beta)` `-2cos(alpha+beta)` ANSWER :A::B::C

Discussion

6008.	C takes twice the number of days to do a piece of work than A takes. A and B together can do it in 6 days while B and C can do it in 10 days. In how many days A alone can do the work?
Answer» 60 30 6 7.5 Answer :D

Discussion

6009.	A rational number is expressed is ……….where p and q are integers and q*0
Answer» PQ `p+q` `p-q` `(mu/q)` ANSWER :D

Discussion

6010.	Simplify:- 7% of 4000 - 12% of 550 = ?
Answer» 6 3 4 12 Answer :C

Discussion

6011.	The simple interest on certain sum at 5% for 9 month is 7greater than the simple interest on the same sum @ 3% for 14 months. What is the sum of interest in both the cases (i.e., total sum of interest)?
Answer» ₹ 203 ₹ 290 ₹ 120 ₹ 330 Answer :B

Discussion

6012.	A milk man has a mixture of milk in which ratio of milk and water is 5 : 3. He sells 40 litres of milk i. e, mixture then he adds up 15 litres of oure water. Now the ratio of milk and water is 5 : 4. What is the new quantity of mixture?
Answer» 72 LITRES 270 litres 135 litres Data insufficient Answer :C

Discussion

6013.	If xgt1,ygt1,zgt1 are in G.P. then 1/(a+Inx), 1/(1+Iny), 1/(1+Inz) are in (A) A.P. (B) H.P. (C) G.P. (D) none of these
Answer» A.P. H.P. G.P. none Answer :B

Discussion

6014.	A and B enter into partnership investing Rs. 48,000 and Rs. 60,000 respectively. After 3 months, A withdraws Rs. 8,000 while B invests Rs. 6,000 after 6 months of starting of business. Out of the total amount of profit, if A gets Rs. 12,000 as his share at the end of the year total profit is :
Answer» ANSWER :RS. 30000

Discussion

6015.	P and Q are 27 km away. Two trains will having speeds of 24km/h and 18km/h respectively start simultaneously from P and Q and travel in thesame direction . They meet at a point R beyond Q .Distance Q R is
Answer» a. 126km b. 81 km c. 48 km d. 36 km Answer :B

Discussion

6016.	A trader purchases a watch and a wall clock for Rs 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earns a profit of Rs 51.50. The difference between the original prices of the wall clock and the watch is equal to
Answer» ANSWER :30400 RS

Discussion

6017.	A survey was conducted at a coaching institution and it was found that there were 34 students who appeared in MAT. There were 37 students who appeared in CAT of which 17 students appeared in MAT. 30 students appeared in XAT of which 13 students appeared in MAT. Of the XAT applicants (i.e., appeared students) 14 appeared in CAT and these 6 appeared in MAT. How many students appeared in CAT but not in MAT or XAT ?
Answer» `9` `10` `12` noneof these ANSWER :C

Discussion

6018.	425 -16.95 xx ? = 225
Answer» a. 11 b. 0.8 C. 9 d. 0.9 Answer :C

Discussion

6019.	A train 350 m long is runing at the speed of 36 km/h if it crosses a tunnel in 1 minute the the length of the tunnel ( in metres ) is:
Answer» 200 m 250 m 150 m none of these Answer :B

Discussion

6020.	Let the largest possible right circular cone and largest possible sphere be fitted into two cubes of same length. Let C and S denote the volume of cone and volume of sphere respectively, then which one of the following is correct?
Answer» C = 2S S=2C C=S C = 3S Answer :B

Discussion

6021.	A started some business with ₹ 26000. After 3 months B joined him with ₹ 16000. After some more time C joined them with ₹ 25000. At the end of the year, out of a total profit of ₹ 15453, C gets ₹ 3825 as his share. How many months after B joined the business did C join?
Answer» SOLUTION :Ratio (of share) of PROFITS` =26000xx12:16000xx9:25000xxC=312:144:25C` Now C.s share =`(25C)/(456+25C)=3825/15453impliesC=6` THEREFORE C joined 3 months later than B joined

Discussion

6022.	What is the value of digits in 3^(3^(3))? Given that log 3 = 0.47712?
Answer» ANSWER :13

Discussion

6023.	Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has length 10. Its area is 80. What is the exact)ength of its third side?
Answer» `sqrt260` `sqrt250` `sqrt240` `sqrt270` Solution : LET attitude of `DELTA ADC` be h and third SIDE be x Then, AREA of triangle `=80=1/2xx10xxhrArrh=16` So, using Phythagorous theorem `AB=sqrt(400-256)=12` `rArr BC=2` `:. X=sqrt(4+256)=sqrt260`

Discussion

6024.	A straight line passes through the points (a,0) and (0,b) . The length of the line segment contained between the axis is 13 and the product of the intercepts on the axis is 60. Find the equation of the straight line :
Answer» 5X + 12y = 60 7x - 12y = 50 5x + 12y + 60 = 0 BOTH (A) AND ( C ) ANSWER :D

Discussion

6025.	Three glasses of capacity 2lt , 5 ltand 9 ltcontain mixture of milk and water with milk concentrations90%, 80% and 70% respectively. The contents of three glasses are emptied into a large vessel. Find the ratio of milk and water in the resultant mixture .
Answer» ANSWER :`121 : 39 `

Discussion

6026.	If 3^(x)+3^(x+1)=36, then the value of x^(x) is :
Answer» 64 3125 81 4 Answer :D

Discussion

6027.	If x is 80% of y, then what percent of 2x is y?
Answer» A) 65.5 % B) 64.5 % C) 63.5 % D) 62.5 % ANSWER :B

Discussion

6028.	How many different signals can be made by taking 3 different coloured flags at a time from 5 different coloured flags?
Answer» A. 120 B. 60 C. 15 D. 125 Answer :B

Discussion

6029.	Study the following graph carefully and answer the questions that follow What is the over all percentage of failed boys over the period shown ?
Answer» `61 2/3` 35 `35 1/3` `38 1/3` ANSWER :D

Discussion

6030.	A and B undertook a work for Rs. 350. A got Rs. 150 more than that of B, when they worked together. B takes 9 days more than A, when they work individually. In how many days A and B working together can do the whole work :
Answer» 5 `4 2/7` `4 5/7` `5 4/7` ANSWER :B

Discussion

6031.	Find all the values of x that satisfy the following inequation \|(x^2-5x+4)/(x^2-4)\|le1
Answer» `(-2,8//5)uu[2,OO)` `[0,8//5]uu[5//2,oo]` `(-oo,-2)uu(0,oo)` `(0,8//5)uu(2,5//2)uu(5//2,oo)` Answer :B

Discussion

6032.	There are 320 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 58 per day while the average expenditure per head increases by 20 paise. Find the original expenditure of the mess.
Answer» ANSWER :RS. 225

Discussion

6033.	If S.P. of an article is doubled then value of its loss % will convert to profit% . Find loss% of article.
Answer» ANSWER :`33(1)/(3)%`

Discussion

6034.	A person bought two bicycles for ₹1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit,he would get ₹ 5 more.The difference in the cost price of the two bicycles was
Answer» ANSWER :RS. 50

Discussion

6035.	The value of (cos^(n)38^(@)-cot^(n)52^(@))/(sin^(n)52^(@)-tan^(n)38^(@))=?
Answer» 5 7 1 3 Answer :C

Discussion

6036.	There are 10 bags B1,B2,B3,...,B10,which contain 21, 22? 30 different articles respectively. The total number of ways to bring out 10 articles from a bag is
Answer» ANSWER :C

Discussion

6037.	A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes at least 1 lady, at least 1 old man and at most 2 young men. Then the total number of ways in which this committee can be formed is:
Answer» A. 32 B. 30 C. 41 D. 52 Answer :B

Discussion

6038.	A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is
Answer» A. 196 B. 206 C. 601 D. 222 Answer :D

Discussion

6039.	The number of zeros at the end of (2^123-2^122-2^121)xx(3^234-3^233-3^232) :
Answer» 0 1 121 none of these Answer :B

Discussion

6040.	Anand can do a piece of work in 45 days, but Bahuguna can do the same work in 5 days less, than Anand, when working alone. Anand and Bahuguna both started the work together but Bahuguna left after some days and Anand finished the remaining work in 56 days with half of his efficiency but he did the work with Bahuguna with his complete efficiency. For how many days they had worked together?
Answer» 6 8 9 12 Answer :B

Discussion

6041.	A 175 m long train crosses a man walking at a speed of 9 km/h in the opposite direction in 10 sec The speed of the train (in km/h) is:
Answer» 45 54 72 68 Answer :B

Discussion

6042.	If x in R " and "alpha=(x^(2))/(1+x^(4)), then alpha lies in the interval
Answer» `0lealphale2` `0lealphale1` `0lealphale1/4` `0lealphale1/2` ANSWER :D

Discussion

6043.	If p and q are the roots of the equation x+ px + q= 0, then
Answer» <P>`p=1 and Q= -2` `p= 0 and q= 1` `p = -2 and q= 0` `p = -2 and q= 1` ANSWER :A

Discussion

6044.	A man rowed against a stream flowing 1 (1)/(2) km/hr to a certain point and then turned back, stopping 2 km, short of the place where he originally started. If the whole time occupied in rowing be 2 hr 10 min and his uniform speed in still water be 4(1)/(2)km/hr. Find the distance the man went up the stream.
Answer» 7 km 3.5km 4 km 5 km Answer :D

Discussion

6045.	An empty container is filled with pure alcohol. The alcohol is slowly allowed to run out and when thecontainer is 1/4 empty, it is replaced with water. Next, when the container is half empty it is again filled withwater. Finally, when it is 3/4 empty, it is again filled with water. What percentage of container is alcohol now?
Answer» ANSWER :` 9 3/8` %

Discussion

6046.	When (1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ……+(100!)^(100!) is divided by 5, the remainder obtained is :
Answer» 2 0 4 none of these Answer :A

Discussion

6047.	kamal goes to a place at a speed of 10 km/hr and return home at speed of 20 km/hr. What is his average speed (in km/hr)?
Answer» ANSWER :A

Discussion

6048.	In the figure QA and PB are perpendicular to AB. If AO = 10 cm, BO = 6 and PB = 9 cm. Find AQ :
Answer» 8 cm 9 cm 15 cm 12 cm Answer :C

Discussion

6049.	If the equation x^(2) + 2 (1 + k ļx +k^(2)) = 0 has equal roots, then what is the value of k?
Answer» `-2` `-(1)/(2)` `(1)/(2)` 0 Answer :B

Discussion

6050.	If the base of right rectangular prism remains constant and the measures of the lateral edgesare halved, then its volume will be redeuced by :
Answer» `50%` `33.33%` `66.66%` NONE of these Answer :A

Discussion

Explore topic-wise InterviewSolutions in .

Amit borrowed ₹ 800 at 10% rate of interest. He repaid ₹ 400 at the end of first year. What is the amount required to pay at the end of second year to discharge his loan which- was calculated at compound interest?

sin^(2)88^(@)+cos^(2)88^(@)=?

ABCDE is a regular pentagon. Angle bisectorof angle BAEmeets CD at m. angle bisector of angle BCDmeetsAM at P. Find the angle CPM= ?

If ab + bc + ca = 0, then the value of 1/(a^2-bc) + 1/(b^2-ca) + 1/(c^2-ab) will be:

If P denotes the perimeter and S denotes the sum of the distances of a point within a triangle from its angular points, then

If a+ b + c = 0 , then the value of a^3 + b^3 + c^3 is :

If cosalpha+cosbeta=0=sinalpha+sinbeta, then cos2alpha+cos2beta=?

C takes twice the number of days to do a piece of work than A takes. A and B together can do it in 6 days while B and C can do it in 10 days. In how many days A alone can do the work?

A rational number is expressed is ……….where p and q are integers and q*0

Simplify:- 7% of 4000 - 12% of 550 = ?

The simple interest on certain sum at 5% for 9 month is 7greater than the simple interest on the same sum @ 3% for 14 months. What is the sum of interest in both the cases (i.e., total sum of interest)?

A milk man has a mixture of milk in which ratio of milk and water is 5 : 3. He sells 40 litres of milk i. e, mixture then he adds up 15 litres of oure water. Now the ratio of milk and water is 5 : 4. What is the new quantity of mixture?

If xgt1,ygt1,zgt1 are in G.P. then 1/(a+Inx), 1/(1+Iny), 1/(1+Inz) are in (A) A.P. (B) H.P. (C) G.P. (D) none of these

A and B enter into partnership investing Rs. 48,000 and Rs. 60,000 respectively. After 3 months, A withdraws Rs. 8,000 while B invests Rs. 6,000 after 6 months of starting of business. Out of the total amount of profit, if A gets Rs. 12,000 as his share at the end of the year total profit is :

P and Q are 27 km away. Two trains will having speeds of 24km/h and 18km/h respectively start simultaneously from P and Q and travel in thesame direction . They meet at a point R beyond Q .Distance Q R is

A trader purchases a watch and a wall clock for Rs 390. He sells them making a profit of 10% on the watch and 15% on the wall clock. He earns a profit of Rs 51.50. The difference between the original prices of the wall clock and the watch is equal to

425 -16.95 xx ? = 225

A train 350 m long is runing at the speed of 36 km/h if it crosses a tunnel in 1 minute the the length of the tunnel ( in metres ) is:

Let the largest possible right circular cone and largest possible sphere be fitted into two cubes of same length. Let C and S denote the volume of cone and volume of sphere respectively, then which one of the following is correct?

A started some business with ₹ 26000. After 3 months B joined him with ₹ 16000. After some more time C joined them with ₹ 25000. At the end of the year, out of a total profit of ₹ 15453, C gets ₹ 3825 as his share. How many months after B joined the business did C join?

What is the value of digits in 3^(3^(3))? Given that log 3 = 0.47712?

Euclid has a triangle in mind. Its longest side has length 20 and another of its sides has length 10. Its area is 80. What is the exact)ength of its third side?

A straight line passes through the points (a,0) and (0,b) . The length of the line segment contained between the axis is 13 and the product of the intercepts on the axis is 60. Find the equation of the straight line :

Three glasses of capacity 2lt , 5 ltand 9 ltcontain mixture of milk and water with milk concentrations90%, 80% and 70% respectively. The contents of three glasses are emptied into a large vessel. Find the ratio of milk and water in the resultant mixture .

If 3^(x)+3^(x+1)=36, then the value of x^(x) is :

If x is 80% of y, then what percent of 2x is y?

How many different signals can be made by taking 3 different coloured flags at a time from 5 different coloured flags?

Study the following graph carefully and answer the questions that follow What is the over all percentage of failed boys over the period shown ?

A and B undertook a work for Rs. 350. A got Rs. 150 more than that of B, when they worked together. B takes 9 days more than A, when they work individually. In how many days A and B working together can do the whole work :

Find all the values of x that satisfy the following inequation |(x^2-5x+4)/(x^2-4)|le1

There are 320 students in a hostel. If the number of students decreases by 10, then the expenses of the mess decreased by Rs. 58 per day while the average expenditure per head increases by 20 paise. Find the original expenditure of the mess.

If S.P. of an article is doubled then value of its loss % will convert to profit% . Find loss% of article.

A person bought two bicycles for ₹1600 and sold the first at 10% profit and the second at 20% profit. If he sold the first at 20% profit and the second at 10% profit,he would get ₹ 5 more.The difference in the cost price of the two bicycles was

The value of (cos^(n)38^(@)-cot^(n)52^(@))/(sin^(n)52^(@)-tan^(n)38^(@))=?

There are 10 bags B1,B2,B3,...,B10,which contain 21, 22? 30 different articles respectively. The total number of ways to bring out 10 articles from a bag is

A committee of 4 persons is to be formed from 2 ladies, 2 old men and 4 young men such that it includes at least 1 lady, at least 1 old man and at most 2 young men. Then the total number of ways in which this committee can be formed is:

A student is to answer 10 out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is

The number of zeros at the end of (2^123-2^122-2^121)xx(3^234-3^233-3^232) :

A 175 m long train crosses a man walking at a speed of 9 km/h in the opposite direction in 10 sec The speed of the train (in km/h) is:

If x in R " and "alpha=(x^(2))/(1+x^(4)), then alpha lies in the interval

If p and q are the roots of the equation x+ px + q= 0, then

When (1!)^(1!) + (2!)^(2!) + (3!)^(3!) + ……+(100!)^(100!) is divided by 5, the remainder obtained is :

kamal goes to a place at a speed of 10 km/hr and return home at speed of 20 km/hr. What is his average speed (in km/hr)?

In the figure QA and PB are perpendicular to AB. If AO = 10 cm, BO = 6 and PB = 9 cm. Find AQ :

If the equation x^(2) + 2 (1 + k ļx +k^(2)) = 0 has equal roots, then what is the value of k?

If the base of right rectangular prism remains constant and the measures of the lateral edgesare halved, then its volume will be redeuced by :