25365 + Interview Questions in Mathematics Page 48 InterviewSolution

2351.	The length of common chord of two intersecting circles is 30 cm. If the diameters of these two circles be 50 cm & 34 cm, then find the distance between their centres.
Answer» The length of common chord of two intersecting circles is 30 cm. If the diameters of these two circles be 50 cm & 34 cm, then find the distance between their centres.

Discussion

2352.	In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is 34 that of parallelogram ABCD, find the length of BE. [1 MARK]
Answer» In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is $\frac{3}{4}$ that of parallelogram ABCD, find the length of BE. [1 MARK]

2352.

In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is 34 that of parallelogram ABCD, find the length of BE. [1 MARK]

Answer»

In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is $\frac{3}{4}$ that of parallelogram ABCD, find the length of BE. [1 MARK]

Discussion

2353.	What is direct proportion?
Answer» What is direct proportion?

Discussion

2354.	Write a program to check the divisibility of a number by 7 that is passed as a parameter to the user-defined function.
Answer» Write a program to check the divisibility of a number by 7 that is passed as a parameter to the user-defined function.

Discussion

2355.	In the given figure, TQ = SR, PT = 4 cm, and SR = 6 cm. Find the measure of TS.
Answer» In the given figure, TQ = SR, PT = 4 cm, and SR = 6 cm. Find the measure of TS.

Discussion

2356.	Explain how this figure is a trapezium. Which of its two sides are parallel?
Answer» Explain how this figure is a trapezium. Which of its two sides are parallel?

Discussion

2357.	If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.
Answer» If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.

Discussion

2358.	Let f(x)=(x+1)(x-2)(x+3)(x-4)(x+5)(x-6)(x+7)(x-8)(x+9)(x-10),then f'(x)=
Answer» Let f(x)=(x+1)(x-2)(x+3)(x-4)(x+5)(x-6)(x+7)(x-8)(x+9)(x-10),then f'(x)=

Discussion

2359.

Complete the following cumulative freuqency table : Class (Height in cm) Frequency (No. of students) Less than type frequency 150-153 05 05 153-156 07 05 + 1234 = 1234 156-159 15 1234 + 15 =1234 159-162 10 1234 + 1234 = 37 162-165 05 37 + 5 = 42 165-168 03 1234 + 1234 = 45 Total N = 45

Answer» Complete the following cumulative freuqency table :

Class (Height in cm)	Frequency (No. of students)	Less than type frequency
150-153	05	05
153-156	07	05 + $1234$ = $1234$
156-159	15	$1234$ + 15 = $1234$
159-162	10	$1234$ + $1234$ = 37
162-165	05	37 + 5 = 42
165-168	03	$1234$ + $1234$ = 45
	Total N = 45

Discussion

2360.	Three numbers are in the ratio 1:2:3. The sum of their cubes is 7776. Find the numbers.
Answer» Three numbers are in the ratio 1:2:3. The sum of their cubes is 7776. Find the numbers.

Discussion

2361.	Kamala borrowed Rs26400 from a Bank to buy a scooter at a rate of 15% p.a. compoundedyearly. What amount will she pay at the end of 2 years and 4 monthsto clear the loan?(Hint: Find A for 2years with interest is compounded yearly and then find SI on the 2ndyear amount for years.)
Answer» Kamala borrowed Rs 26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded yearly. What amount will she pay at the end of 2 years and 4 months to clear the loan? (Hint: Find A for 2 years with interest is compounded yearly and then find SI on the 2^nd year amount for years.)

2361.

Kamala borrowed Rs26400 from a Bank to buy a scooter at a rate of 15% p.a. compoundedyearly. What amount will she pay at the end of 2 years and 4 monthsto clear the loan?(Hint: Find A for 2years with interest is compounded yearly and then find SI on the 2ndyear amount for years.)

Answer»

Kamala borrowed Rs
26400 from a Bank to buy a scooter at a rate of 15% p.a. compounded
yearly. What amount will she pay at the end of 2 years and 4 months
to clear the loan?

(Hint: Find A for 2
years with interest is compounded yearly and then find SI on the 2^nd
year amount for
years.)

Discussion

2362.	Identify the following shape.
Answer» Identify the following shape.

Discussion

2363.	49. Find naerest integer value of a-b A.1000 B 1001 C 500 D 501
Answer» 49. Find naerest integer value of a-b A.1000 B 1001 C 500 D 501

Discussion

2364.	The median of following data is: 8, 7, 6, 2, 1, 4
Answer» The median of following data is: 8, 7, 6, 2, 1, 4

2364.

The median of following data is: 8, 7, 6, 2, 1, 4

Answer»

The median of following data is:

8, 7, 6, 2, 1, 4

Discussion

2365.	Which among the following is not an irrational number.
Answer» Which among the following is not an irrational number.

Discussion

2366.	If the length of subnormal at point P(a,a) on the curve y2=x32a−xis equal to k times the length of subtangent, then the value of k2 is equal to
Answer» If the length of subnormal at point $P (a, a)$ on the curve $y^{2} = \frac{x^{3}}{2 a - x}$ is equal to $k$ times the length of subtangent, then the value of $k^{2}$ is equal to

Discussion

2367.	If Priya has scored 15 marks, how much marks did Tina score?
Answer» If Priya has scored 15 marks, how much marks did Tina score?

Discussion

2368.	Question 29x7−6x=15
Answer» Question 2 $\frac{9 x}{7 - 6 x} = 15$

Discussion

2369.	A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?
Answer» A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

Discussion

2370.	How many pairs of socks can be formed from 14 socks?7
Answer» How many pairs of socks can be formed from 14 socks? 7

Discussion

2371.	Calculate the difference between the compound interest and the simple interest on Rs. 7500 in two years and at 8% per annum.
Answer» Calculate the difference between the compound interest and the simple interest on Rs. 7500 in two years and at 8% per annum.

Discussion

2372.	What fraction of an hour is 40 minutes?
Answer» What fraction of an hour is 40 minutes?

Discussion

2373.	How to apply Euclids division lemma for negative numbers like -1250÷-50? Can we apply this rule to such no.s
Answer» How to apply Euclids division lemma for negative numbers like -1250÷-50? Can we apply this rule to such no.s

Discussion

2374.	ABCD is a rhombus. If ∠BCA=35∘ then ∠ADC= ___.
Answer» ABCD is a rhombus. If $∠ B C A = 35^{\circ}$ then $∠ A D C =$ ___.

2374.

ABCD is a rhombus. If ∠BCA=35∘ then ∠ADC= ___.

Answer»

ABCD is a rhombus. If $∠ B C A = 35^{\circ}$ then

$∠ A D C =$ ___.

Discussion

2375.	If the units digit of a two digit number is 'y' and sum of digits is 9, then the number is?
Answer» If the units digit of a two digit number is 'y' and sum of digits is 9, then the number is?

Discussion

2376.	Question 176By what number should (−8)−3 be multiplied so that the product may be equal to (−6)−3 ?
Answer» Question 176 By what number should $(- 8)^{- 3}$ be multiplied so that the product may be equal to $(- 6)^{- 3}$ ?

2376.

Question 176By what number should (−8)−3 be multiplied so that the product may be equal to (−6)−3 ?

Answer»

Question 176

By what number should $(- 8)^{- 3}$ be multiplied so that the product may be equal to $(- 6)^{- 3}$ ?

Discussion

2377.	If f(x)=x33−x2+43 has maximum value ′a′ at x=b, then (a,b) is
Answer» If $f (x) = \frac{x^{3}}{3} - x^{2} + \frac{4}{3}$ has maximum value $^{'} a^{'}$ at $x = b,$ then $(a, b)$ is

Discussion

2378.	Find the volume of the corner piece which is removed from a solid cube of side 10 cm by cutting through the midpoints of three adjacent sides.
Answer» Find the volume of the corner piece which is removed from a solid cube of side 10 cm by cutting through the midpoints of three adjacent sides.

Discussion

2379.	A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm. How many times will the tire rotate while the car travels from A to B? (Use π = 227)
Answer» A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm. How many times will the tire rotate while the car travels from A to B? (Use π = $\frac{22}{7}$ )

Discussion

2380.	Why differentiation of Y is equal to sin x^2 is equal to d(sinx^2)/dx^2 and not equal to d(sinx^2)/dx only
Answer» Why differentiation of Y is equal to sin x^2 is equal to d(sinx^2)/dx^2 and not equal to d(sinx^2)/dx only

Discussion

2381.	Without actual division , prove that 2x4–5x3+2x2−x+2 is divisible by x2−3x+2.
Answer» Without actual division , prove that $2 x^{4} - 5 x^{3} + 2 x^{2} - x + 2$ is divisible by $x^{2} - 3 x + 2$ .

Discussion

2382.	There are 2500 plants in a garden. The garden is such that the number of rows is equal to number of columns. Calculate no. of rows and columns.
Answer» There are 2500 plants in a garden. The garden is such that the number of rows is equal to number of columns. Calculate no. of rows and columns.

Discussion

2383.	Question 10If in ΔABC and ΔEDF,ABDE=BCFD, then they will be similar, when(A) ∠B=∠E(B) ∠A=∠D(C) ∠B=∠D(D) ∠A=∠F
Answer» Question 10 If in $Δ A B C a n d Δ E D F, \frac{A B}{D E} = \frac{B C}{F D}$ , then they will be similar, when (A) $∠ B = ∠ E$ (B) $∠ A = ∠ D$ (C) $∠ B = ∠ D$ (D) $∠ A = ∠ F$

Discussion

2384.	Write four properties of parallelogram.
Answer» Write four properties of parallelogram.

Discussion

2385.	Question 16Find and correct the errors in the statement: 3x23x2=0
Answer» Question 16 Find and correct the errors in the statement: $\frac{3 x^{2}}{3 x^{2}} = 0$

Discussion

2386.	Question 55 Fill in the blanks to make the statements true. In quadrilateral WXYZ, the pairs of opposite angles are ___.
Answer» Question 55 Fill in the blanks to make the statements true. In quadrilateral WXYZ, the pairs of opposite angles are ___.

Discussion

2387.	Which of the following is the front view of the given figure?
Answer» Which of the following is the front view of the given figure?

Discussion

2388.	Question 5(ii)Name the property under multiplication used in each of the following:−1317×−27=−27×−1317
Answer» Question 5(ii) Name the property under multiplication used in each of the following: $- \frac{13}{17} \times \frac{- 2}{7} = \frac{- 2}{7} \times \frac{- 13}{17}$

Discussion

2389.	Rahul had an R.D account and deposited 500 per month. If the maturity Value of the account is 9570 and the rate of interest is 8 % p a. Find the time in years for which account was held.
Answer» Rahul had an R.D account and deposited 500 per month. If the maturity Value of the account is 9570 and the rate of interest is 8 % p a. Find the time in years for which account was held.

Discussion

2390.	Question 6A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?
Answer» Question 6 A farmer was having a field in the form of a parallelogram PQRS. She took any point A on RS and joined it to points P and Q. In how many parts the field is divided? What are the shapes of these parts? The farmer wants to sow wheat and pulses in equal portions of the field separately. How should she do it?

Discussion

2391.	If the product of two rational number is minus 5 if one of the number is minus 3 one upon 5 find the other.
Answer» If the product of two rational number is minus 5 if one of the number is minus 3 one upon 5 find the other.

Discussion

2392.	If a sum of ₹ 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually, then the amount she has to pay at the end of 2 years is
Answer» If a sum of ₹ 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually, then the amount she has to pay at the end of 2 years is

Discussion

2393.	What is the cube root of 1728 by prime factorisation?
Answer» What is the cube root of 1728 by prime factorisation?

Discussion

2394.	Question 70From the histogram given below, we can say that 1500 males above the age of 20 are liberate.
Answer» Question 70 From the histogram given below, we can say that 1500 males above the age of 20 are liberate.

2394.

Question 70From the histogram given below, we can say that 1500 males above the age of 20 are liberate.

Answer»

Question 70

From the histogram given below, we can say that 1500 males above the age of 20 are liberate.

Discussion

2395.	Product of two integers is
Answer» Product of two integers is

Discussion

2396.	If 0.00000000837 is expressed as x.37×10y, then y×10x written as a numeral is
Answer» If 0.00000000837 is expressed as $x .37 \times 10^{y},$ then $y \times 10^{x}$ written as a numeral is

Discussion

2397.	Thebase of an isosceles triangle is cm.The perimeter of the triangle is cm.What is the length of either of the remaining equal sides?
Answer» The base of an isosceles triangle is cm. The perimeter of the triangle is cm. What is the length of either of the remaining equal sides?

Discussion

2398.	The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning.W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W.Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.
Answer» The shoppers who come to a departmental store are marked as: man (M), woman (W), boy (B) or girl (G). The following list gives the shoppers who came during the first hour in the morning. W W W G B W W M G G M M W W W W G B M W B G G M W W M M W W W M W B W G M W W W W G W M M W W M W G W M G W M M B G G W. Make a frequency distribution table using tally marks. Draw a bar graph to illustrate it.

Discussion

2399.	61 If a+b=5, then the value of a square + b square - 10a - 10 b + 2 ab + 5 is
Answer» 61 If a+b=5, then the value of a square + b square - 10a - 10 b + 2 ab + 5 is

Discussion

2400.	Question 83 (x)Multiply the following:6mn, 0mn
Answer» Question 83 (x) Multiply the following: 6mn, 0mn

Discussion

Explore topic-wise InterviewSolutions in .

The length of common chord of two intersecting circles is 30 cm. If the diameters of these two circles be 50 cm & 34 cm, then find the distance between their centres.

In the figure, ABCD is a parallelogram and AB = 6 cm. If the area of triangle ADE is 34 that of parallelogram ABCD, find the length of BE. [1 MARK]

What is direct proportion?

Write a program to check the divisibility of a number by 7 that is passed as a parameter to the user-defined function.

In the given figure, TQ = SR, PT = 4 cm, and SR = 6 cm. Find the measure of TS.

Explain how this figure is a trapezium. Which of its two sides are parallel?

If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.

Let f(x)=(x+1)(x-2)(x+3)(x-4)(x+5)(x-6)(x+7)(x-8)(x+9)(x-10),then f'(x)=

Complete the following cumulative freuqency table : Class (Height in cm) Frequency (No. of students) Less than type frequency 150-153 05 05 153-156 07 05 + 1234 = 1234 156-159 15 1234 + 15 =1234 159-162 10 1234 + 1234 = 37 162-165 05 37 + 5 = 42 165-168 03 1234 + 1234 = 45 Total N = 45

Three numbers are in the ratio 1:2:3. The sum of their cubes is 7776. Find the numbers.

Kamala borrowed Rs26400 from a Bank to buy a scooter at a rate of 15% p.a. compoundedyearly. What amount will she pay at the end of 2 years and 4 monthsto clear the loan?(Hint: Find A for 2years with interest is compounded yearly and then find SI on the 2ndyear amount for years.)

Identify the following shape.

49. Find naerest integer value of a-b A.1000 B 1001 C 500 D 501

The median of following data is: 8, 7, 6, 2, 1, 4

Which among the following is not an irrational number.

If the length of subnormal at point P(a,a) on the curve y2=x32a−xis equal to k times the length of subtangent, then the value of k2 is equal to

If Priya has scored 15 marks, how much marks did Tina score?

Question 29x7−6x=15

A factory requires 42 machines to produce a given number of articles in 63 days. How many machines would be required to produce the same number of articles in 54 days?

How many pairs of socks can be formed from 14 socks?7

Calculate the difference between the compound interest and the simple interest on Rs. 7500 in two years and at 8% per annum.

What fraction of an hour is 40 minutes?

How to apply Euclids division lemma for negative numbers like -1250÷-50? Can we apply this rule to such no.s

ABCD is a rhombus. If ∠BCA=35∘ then ∠ADC= ___.

If the units digit of a two digit number is 'y' and sum of digits is 9, then the number is?

Question 176By what number should (−8)−3 be multiplied so that the product may be equal to (−6)−3 ?

If f(x)=x33−x2+43 has maximum value ′a′ at x=b, then (a,b) is

Find the volume of the corner piece which is removed from a solid cube of side 10 cm by cutting through the midpoints of three adjacent sides.

A car has to travel 0.121 km to reach from A to B. If the radius of the tyre is 7 cm. How many times will the tire rotate while the car travels from A to B? (Use π = 227)

Why differentiation of Y is equal to sin x^2 is equal to d(sinx^2)/dx^2 and not equal to d(sinx^2)/dx only

Without actual division , prove that 2x4–5x3+2x2−x+2 is divisible by x2−3x+2.

There are 2500 plants in a garden. The garden is such that the number of rows is equal to number of columns. Calculate no. of rows and columns.

Question 10If in ΔABC and ΔEDF,ABDE=BCFD, then they will be similar, when(A) ∠B=∠E(B) ∠A=∠D(C) ∠B=∠D(D) ∠A=∠F

Write four properties of parallelogram.

Question 16Find and correct the errors in the statement: 3x23x2=0

Question 55 Fill in the blanks to make the statements true. In quadrilateral WXYZ, the pairs of opposite angles are ___.

Which of the following is the front view of the given figure?

Question 5(ii)Name the property under multiplication used in each of the following:−1317×−27=−27×−1317

Rahul had an R.D account and deposited 500 per month. If the maturity Value of the account is 9570 and the rate of interest is 8 % p a. Find the time in years for which account was held.

If the product of two rational number is minus 5 if one of the number is minus 3 one upon 5 find the other.

If a sum of ₹ 20,000 is borrowed by Heena for 2 years at an interest of 8% compounded annually, then the amount she has to pay at the end of 2 years is

What is the cube root of 1728 by prime factorisation?

Question 70From the histogram given below, we can say that 1500 males above the age of 20 are liberate.

Product of two integers is

If 0.00000000837 is expressed as x.37×10y, then y×10x written as a numeral is

Thebase of an isosceles triangle is cm.The perimeter of the triangle is cm.What is the length of either of the remaining equal sides?

61 If a+b=5, then the value of a square + b square - 10a - 10 b + 2 ab + 5 is

Question 83 (x)Multiply the following:6mn, 0mn