8677 + Interview Questions in Maths in Class 14 Page 149 InterviewSolution

7401.	Find 1-sin10^(@)sin50^(@)sin70^(@).
Answer» ANSWER :`(7)/(8)`

Discussion

7402.	In the given figure there are 3 semicircles , the radii of each smaller circle is equal. If the radius of the larger circle be 22 cm , then the area of the shaded region is :
Answer» `363 (PI)/4` `363(pi)/(3) ` `236.5 pi ` `363 pi` ANSWER :B

Discussion

7403.	A and B can finish a certain piece of work in 4 days. If A reduces his efficiency by 30% and B increases by 10%, then work will be finished in 5 days. If A works with his original efficiency and B work with 1(1)/(2)times of his efficiency, then in how many days working together work will be finished?
Answer» ANSWER :`35(5)/(9)`

Discussion

7404.	Solve the following : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y - 1/x)^b] is equal to
Answer» `(x/y)^(a + B)` `(y/x)^(a + b)` `x^a/y^b` `(XY)^(a + b)` ANSWER :A

Discussion

7405.	If x=sqrt(2+sqrt(2+sqrt(2+...))) then what will be the value of x?
Answer» 1 2 3 none of these Answer :B

Discussion

7406.	Arun and Prabhat have some books with them. Once Prabhat said to Arun that if Arun gives 3 books to Prabhat then Arun will have only 1/2 of the books that Prabhat will have with him. Then Arun asked Prabhat that if Prabhat gives only two books to Arun, then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is :
Answer» A)25 B)56 C)30 D)can't be determined Answer :C

Discussion

7407.	An egg seller sells his eggs only in the packs of 3 eggs, 6 eggs, 9 eggs, 12 eggs etc., but the rate is not necessarily uniform. One day Raju (which is not the same egg seller) purchased at the rate of 3 eggs for a rupee and the next hour he purchased equal number of eggs at the rate of 6 eggs for a rupee. Next day he sold all the eggs at the rate of 9 eggs for ₹ 2. What is his percentage profit or loss?
Answer» 10% LOSS 11.11% loss 3% loss 2.5% profit Answer :B

Discussion

7408.	Find the roots of equation 2x^4+x^3-11x^2+x+2=0
Answer» `(-8-sqrt5)/2,(-8+sqrt5)/2,1/2,2` `(-3-sqrt5)/2,(-3+sqrt5)/2,-2,2` `(-3-sqrt7)/2,(-3+sqrt7)/2,1/2,2` `(-3-sqrt5)/2,(-3+sqrt5)/2,1/2,2` ANSWER :D

Discussion

7409.	Find the number of ways in which 12 different books can be arranged on a shelf so that two particular books shall not be together
Answer» 399168000 299168000 199168000 369088000 Answer :A

Discussion

7410.	Find the number of ways in which 12 different books can be arranged on a shelf so that three particular books shall not be together.
Answer» `126xx10!` `1320xx9!` 387892 39916800 Answer :A

Discussion

7411.	Divide Rs. 1105 between A and B, so that the A’s share at the end of 5 years may equal B’s share at the end of 7 years, compound interest being at 10%.
Answer» ANSWER :RS. 605, Rs. 500

Discussion

7412.	Solve 6(x^(2)+(1)/(x^(2)))-25(x-(1)/(x))+12=0
Answer» ANSWER :`X=-(1)/(3), -(1)/(2), 2, 3`

Discussion

7413.	Rs. 5600 is to be divided into A, B, C, and D in such a way that the ratio of share of A: B is 1: 2, B: C is 3: 1, and C: D is 2: 3. Find the sum of (A and C) and (B and C).
Answer» RS 2400, Rs 3000 Rs 2000, Rs 3000 Rs 2400, Rs 3200 Rs 2000, Rs 3200 Answer :C

Discussion

7414.	(5^(250))/(250)find R.
Answer» 1 2 3 4 Answer :`=125`

Discussion

7415.	276.75+4% "of" 678+sqrt(0.0169)=?
Answer» 304 124 122 228 Solution :`276.75+27.12+0.13=304=?`

Discussion

7416.	Two parallel chords of a circle of radius 2 are at a distance sqrt3 + 1 apart. If the chords subtend at the centre, Angles of pi/k and 2pi/k, where k > 0 then the value of [k] is :
Answer» 1 2 3 6 Answer :C

Discussion

7417.	A person spend 1//3^(rd)of his income on food, clothes and education in the ratio 3:2: 4. He spent 2/5 part of his income on transport and entertainment in the ratio 4 : 5 and he deposit Rs 2700 in the bank then find the amount which is spent on food, clothes and transport.
Answer» 3675 3600 3800 3725 Answer :A

Discussion

7418.	Find the simple interest on Rs. 500 at 6% per annum from May 3rd to July15th in the same year.
Answer» ANSWER :RS. 330

Discussion

7419.	A colck loses 2 minutes in an hour and another clock gains 2 minutes in every 2 hours. Both these clocks are set correctly at a certain time on Sunday and both the clocks stop simultaneously on the next day with the time shown being 9 am and 10:06 am. What is the correct time at which they stopped?
Answer» `9:54` am `9:44` PM `9:46` am `9:44` am Answer :D

Discussion

7420.	How many different four digit numbers can be formed with the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 such that the digit 5 appears exactly once?
Answer» 1024 2048 4096 none of these Answer :B

Discussion

7421.	How many numbers lie between 100 and 10000 which when successive divided by 7, 11 and 13 leaves the respective remainders of 5,6 and 7 ?
Answer» ANSWER :10

Discussion

7422.	Answer the following questions independently of each other Find the total number of positive integral solutions of a+b+c=30.
Answer» 405 406 303 496 Answer :B

Discussion

7423.	If a and b be two co-prime numbers, then (a+b) and (a-b):
Answer» are always co-primes have atleast one common factor other than 1 if(a+b) or (a-b) is not a prime NUMBER then their HCF is 2 none of the above Answer :C

Discussion

7424.	The two pie charts show the market share of different companies which produces TV and Refrigerator (noth) in the first quarter of 2005-06. If the turnover in the first quarter of 2005-06 of Electrolux TV and Refrigerator is RS. 42 crores and Rs. 6 crores respectively, then what is the average annual turnover of Godrej and Aiwa in both the product categories together ?
Answer» ₹ 304 crores ₹ 284 crores ₹ 178 crores none of the above Answer :A

Discussion

7425.	A bulklockcart hastocovera distanceof 80 kmin 10 h. ifItcovers halfof thejourneyin 3/5 thtime, whatshouldbeitsspeedto covertheremainingdistanceinthe lefttime
Answer» a) 5 km/h B)10 km/h c)15 km/h d) 18 km/h Answer :B

Discussion

7426.	A car and a jeep were sold for Rs 120000 each. The car was sold at a loss of 20% while the jeep at a gain of 20%, the entire transaction resulted in:
Answer» PROFIT of RS. 1000 Lossof Rs. 1000 LOSS of Rs. 500 No profit no loss ANSWER :B

Discussion

7427.	Convert (37.42)_8 to binary.
Answer» SOLUTION :

Discussion

7428.	ABCD is a square. M is the mid-point of AB and N is the mid-point of BC. DM and AN are joined and they meet at O, then which of the following is correct ?
Answer» OA : OM = 1 : 2 AN = MD `angleADM=angleANB` `angleAMD=angleBAN` ANSWER :B

Discussion

7429.	From the salary of an officer, 10%is deducted as house rent, 15%of the rest he spends on children's education and 10%of the balance, he spends on clothes. After this expenditure he is left with Rs. 1,377. His salary is
Answer» ANSWER :Rs.2000

Discussion

7430.	Study the following graph carefully and answer the questions that follow For how many years was there a paired rise or fallin the percentage of boysand girlspassed over the period shown ?
Answer» Nil 1 2 3 Answer :B

Discussion

7431.	For every natural number x and y the value of x-y when y+7/x+y/13=6 3/143 is :
Answer» 5 6 2 not unique Answer :C

Discussion

7432.	A conical circus tent is to be made of canvas. The height of the tent is 35 m and the radius of the base is 84 m. If pi =(22)/7, then the canvas requiredis :
Answer» `24000 m^2` `24004 m^2` `24014 m^2` `24024 m^2` ANSWER :D

Discussion

7433.	The value of (x,y) if 5^x+3^y=8, 5^(x-1)+3^(y-1) = 2 is :
Answer» 2, 3 3, 2 1, 1 0, 1 Answer :C

Discussion

7434.	The remainder when (16)^3500 is divided by 17 is
Answer» 1 0 16 none Solution :because`(a^N/a+1`GIVE REMAINDER 1 when n is EVEN. So the remainder of `16^3500/17=16^3500/(16+1)` is 1.

Discussion

7435.	If sintheta=(m^(2)-n^(2))/(m^(2)+n^(2)), then tantheta=?
Answer» `(m^(2)+N^(2))/(2MN)` `(m^(2)-n^(2))/(2mn)` `(m^(2)+n^(2))/(m^(2)-n^(2))` `(m^(2)-n^(2))/(m^(2)+n^(2))` ANSWER :B

Discussion

7436.	56% "of" 4356 = 76% "of" 564+?
Answer» 1789 2100 2500 2011 Solution :`2439.36=428.64+?` `?=2010.72=2011`

Discussion

7437.	Four numbers are in the ratio of 10:12:15: 18 If their HCF is 3, then find their LCM.
Answer» a)420 B)540 c)620 d)680 Answer :B

Discussion

7438.	In what proportion water be mixed with spirit to gain 12.5% by selling it at cost price?
Answer» `2:1` `1:8` `1:9` `2:9` ANSWER :B

Discussion

7439.	Which of the following pairs are identical?
Answer» `F(x)=sqrt(x^2), G(x)=(sqrtx)^2` `f(x)=1/sqrtx^2, g(x)=x/x^2` f(x)=LOG(x-1)+log(x-2), g(x)=log(x-1) (x-2) none of the above Answer :D

Discussion

7440.	a mixture contain alcohal and water in the ratio 4:3. if 5 litres of water is added to the mixture the ratio become 4:5. the quantity of alcohol in the given mixture is.
Answer» `3 L `4 L `10 L none of these Answer :A

Discussion

7441.	What is the remainder when (10 + 10^2 + 10^3 + 10^4 + 10^5) is divided by 6 ?
Answer» 0 2 4 6 Answer :C

Discussion

7442.	Find the value of sin10^(@).sin30^(@).sin50^(@).sin70^(@).
Answer» 8 `(1)/(16)` 16 `(1)/(2)` Answer :B

Discussion

7443.	A conical vessel whose internal radius is 10 cm and height 72 cm is full of water . If this water is poured into a cylindricalvessel with internal radius 30 cm, the height of the water level rises in it is :
Answer» 2 2/3 cm 3 2/3 cm 5 2/3 cm none of these Answer :A

Discussion

7444.	ABCD is a square. BEC is an equilateral triangle inside the square. If CE & BD intersects at O. Find angleBOC=?
Answer» ANSWER :`75^(@)`

Discussion

7445.	Four numbers are multiplied together. Then the probability that the product will be divisible by 5 or 10 is :
Answer» `169/625` `369/625` `169/1626` NONE of these Answer :B

Discussion

7446.	One side other than the hypotenuse of right angle isoceles triangle is 6 cm. The length of the perpendicular on the hypotenuse from the opposite vertex is :
Answer» 6 CM `6sqrt2` cm 4 cm `3sqrt2` cm Answer :D

Discussion

7447.	If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2y+20^(@)), then value of sec(x+y) is,
Answer» 5 `SQRT(2)` 2 3 Answer :B

Discussion

7448.	how manywordsbeginwith RandendswithW , in RAINBOW word.
Answer» a. 120 b. 240 c. 180 d. 360 Answer :A

Discussion

7449.	Which of the following is true about the given graph?
Answer» A. `X=(\|y\|)/(y), y NE0` B. `y=(\|x\|)/(x), x ne0` C. `x=-(\|y\|)/(y), y ne0` D. `y=(-\|x\|)/(x), x ne0` ANSWER :A

Discussion

7450.	John started from his home to his office, After 2 hours, his friend Ali started from office towards john's home. By the time John travelled one-fifth of the total distance, Ali had also travelled the same. Ali's speed is thrice of that of john's speed. Quantity I: Difference in time (in hours) taken by john and Ali to reach their respective destinations. Quantity II: 12 hours
Answer» Quantity `I=` Quantity II or No relation Quantity `I le` Quantity II Quantity `I ge` Quantity II Quantity `I GT` Quantity II Solution :Let trhe speed of John b E x kmph. Distance travelled by John in 2 hours = 2x km. SUPPOSE John takes 't'hours to TRAVEL `1/5` thof the distance d km. Ali would take (t-2) hours to travel `1/5th` of the distance d km. As Ali's sped is thrice that of John's speed. `(t-2)/(t)=1/3impliest=3` `1/5th` of the distance `d=3x` km. `d=15x` km Time taken by John to cover 15x km `=(15x)/(x)=15` hourse Time taken by Ali to cover 15x km `=(15x)/(3x)=5` hours. `THEREFORE` Difference in the time = 10 hours. Quantity I: Difference in the time = 10 hours. Quantity II: 12 hours Quantity `I lt` Quantity II

Discussion

Explore topic-wise InterviewSolutions in .

Find 1-sin10^(@)sin50^(@)sin70^(@).

In the given figure there are 3 semicircles , the radii of each smaller circle is equal. If the radius of the larger circle be 22 cm , then the area of the shaded region is :

Solve the following : [(x + 1/y)^a (x - 1/y)^b] div [(y + 1/x)^a (y - 1/x)^b] is equal to

If x=sqrt(2+sqrt(2+sqrt(2+...))) then what will be the value of x?

Find the roots of equation 2x^4+x^3-11x^2+x+2=0

Find the number of ways in which 12 different books can be arranged on a shelf so that two particular books shall not be together

Find the number of ways in which 12 different books can be arranged on a shelf so that three particular books shall not be together.

Divide Rs. 1105 between A and B, so that the A’s share at the end of 5 years may equal B’s share at the end of 7 years, compound interest being at 10%.

Solve 6(x^(2)+(1)/(x^(2)))-25(x-(1)/(x))+12=0

Rs. 5600 is to be divided into A, B, C, and D in such a way that the ratio of share of A: B is 1: 2, B: C is 3: 1, and C: D is 2: 3. Find the sum of (A and C) and (B and C).

(5^(250))/(250)find R.

276.75+4% "of" 678+sqrt(0.0169)=?

Two parallel chords of a circle of radius 2 are at a distance sqrt3 + 1 apart. If the chords subtend at the centre, Angles of pi/k and 2pi/k, where k > 0 then the value of [k] is :

A person spend 1//3^(rd)of his income on food, clothes and education in the ratio 3:2: 4. He spent 2/5 part of his income on transport and entertainment in the ratio 4 : 5 and he deposit Rs 2700 in the bank then find the amount which is spent on food, clothes and transport.

Find the simple interest on Rs. 500 at 6% per annum from May 3rd to July15th in the same year.

A colck loses 2 minutes in an hour and another clock gains 2 minutes in every 2 hours. Both these clocks are set correctly at a certain time on Sunday and both the clocks stop simultaneously on the next day with the time shown being 9 am and 10:06 am. What is the correct time at which they stopped?

How many different four digit numbers can be formed with the digits 1, 2, 3, 4, 5, 6, 7, 8 and 9 such that the digit 5 appears exactly once?

How many numbers lie between 100 and 10000 which when successive divided by 7, 11 and 13 leaves the respective remainders of 5,6 and 7 ?

Answer the following questions independently of each other Find the total number of positive integral solutions of a+b+c=30.

If a and b be two co-prime numbers, then (a+b) and (a-b):

A bulklockcart hastocovera distanceof 80 kmin 10 h. ifItcovers halfof thejourneyin 3/5 thtime, whatshouldbeitsspeedto covertheremainingdistanceinthe lefttime

A car and a jeep were sold for Rs 120000 each. The car was sold at a loss of 20% while the jeep at a gain of 20%, the entire transaction resulted in:

Convert (37.42)_8 to binary.

ABCD is a square. M is the mid-point of AB and N is the mid-point of BC. DM and AN are joined and they meet at O, then which of the following is correct ?

From the salary of an officer, 10%is deducted as house rent, 15%of the rest he spends on children's education and 10%of the balance, he spends on clothes. After this expenditure he is left with Rs. 1,377. His salary is

Study the following graph carefully and answer the questions that follow For how many years was there a paired rise or fallin the percentage of boysand girlspassed over the period shown ?

For every natural number x and y the value of x-y when y+7/x+y/13=6 3/143 is :

A conical circus tent is to be made of canvas. The height of the tent is 35 m and the radius of the base is 84 m. If pi =(22)/7, then the canvas requiredis :

The value of (x,y) if 5^x+3^y=8, 5^(x-1)+3^(y-1) = 2 is :

The remainder when (16)^3500 is divided by 17 is

If sintheta=(m^(2)-n^(2))/(m^(2)+n^(2)), then tantheta=?

56% "of" 4356 = 76% "of" 564+?

Four numbers are in the ratio of 10:12:15: 18 If their HCF is 3, then find their LCM.

In what proportion water be mixed with spirit to gain 12.5% by selling it at cost price?

Which of the following pairs are identical?

a mixture contain alcohal and water in the ratio 4:3. if 5 litres of water is added to the mixture the ratio become 4:5. the quantity of alcohol in the given mixture is.

What is the remainder when (10 + 10^2 + 10^3 + 10^4 + 10^5) is divided by 6 ?

Find the value of sin10^(@).sin30^(@).sin50^(@).sin70^(@).

A conical vessel whose internal radius is 10 cm and height 72 cm is full of water . If this water is poured into a cylindricalvessel with internal radius 30 cm, the height of the water level rises in it is :

ABCD is a square. BEC is an equilateral triangle inside the square. If CE & BD intersects at O. Find angleBOC=?

Four numbers are multiplied together. Then the probability that the product will be divisible by 5 or 10 is :

One side other than the hypotenuse of right angle isoceles triangle is 6 cm. The length of the perpendicular on the hypotenuse from the opposite vertex is :

If x,y are positive acute angles, x+ylt90^(@) and sin(2x-20^(@))=cos(2y+20^(@)), then value of sec(x+y) is,

how manywordsbeginwith RandendswithW , in RAINBOW word.

Which of the following is true about the given graph?