25365 + Interview Questions in Mathematics Page 57 InterviewSolution

2801.	From the bar graph given below, find the number of people who have their birthdays in the first 6 months starting from January?
Answer» From the bar graph given below, find the number of people who have their birthdays in the first 6 months starting from January?

Discussion

2802.	If,a+b+c=11,abc=12,ab+bc+ca=36,then find the value of a³+b³+c³
Answer» If,a+b+c=11,abc=12,ab+bc+ca=36,then find the value of a³+b³+c³

Discussion

2803.	Which of the following expressions shows that rational numbers are associative under multiplication?
Answer» Which of the following expressions shows that rational numbers are associative under multiplication?

Discussion

2804.	Commutative law of rational numbers is ____ .
Answer» Commutative law of rational numbers is ____ .

Discussion

2805.	Given △ABC ~ △PQR. Find the side AB if PQ= 18 cm, AC=2.5cm and PR= 4.5cm.
Answer» Given $△ A B C$ ~ $△ P Q R$ . Find the side AB if PQ= 18 cm, AC=2.5cm and PR= 4.5cm.

Discussion

2806.	What is the formula for obtaining trigonometric triplets?
Answer» What is the formula for obtaining trigonometric triplets?

Discussion

2807.	Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.
Answer» Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Discussion

2808.	Question 82Solve the following:Anushka and Arushi are friends. They have equal amount of money in their pockets. Anushka gave 13 of her money to Arushi as her birthday gift. Then, Arushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Arushi's pocket is Rs. 1600, then find the sum gifted by anushka.
Answer» Question 82 Solve the following: Anushka and Arushi are friends. They have equal amount of money in their pockets. Anushka gave $\frac{1}{3}$ of her money to Arushi as her birthday gift. Then, Arushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Arushi's pocket is Rs. 1600, then find the sum gifted by anushka.

2808.

Question 82Solve the following:Anushka and Arushi are friends. They have equal amount of money in their pockets. Anushka gave 13 of her money to Arushi as her birthday gift. Then, Arushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Arushi's pocket is Rs. 1600, then find the sum gifted by anushka.

Answer»

Question 82

Solve the following:

Anushka and Arushi are friends. They have equal amount of money in their pockets. Anushka gave $\frac{1}{3}$ of her money to Arushi as her birthday gift. Then, Arushi gave a party at a restaurant and cleared the bill by paying half of the total money with her. If the remaining money in Arushi's pocket is Rs. 1600, then find the sum gifted by anushka.

Discussion

2809.	Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm, and QS = 8.2 cm.
Answer» Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm, and QS = 8.2 cm.

Discussion

2810.	If no clear relationship is visible between the independent and dependent variable on the scatter plot, then the variables are said to have between them.
Answer» If no clear relationship is visible between the independent and dependent variable on the scatter plot, then the variables are said to have between them.

Discussion

2811.	If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?
Answer» If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?

Discussion

2812.	(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?
Answer» (i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?

2812.

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?

Answer»

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star

Which of the above are polyhedrons?

Discussion

2813.	Study the following graph carefully and answer the questions based on it. (A) By what percentage is the rose production of other states more than that of the Maharashtra? (B) What is the average production of roses (in thousands) across all the states? (approximate value) (C) What percentage of the total rose production is contributed by the other states? (approximate value)
Answer» Study the following graph carefully and answer the questions based on it. (A) By what percentage is the rose production of other states more than that of the Maharashtra? (B) What is the average production of roses (in thousands) across all the states? (approximate value) (C) What percentage of the total rose production is contributed by the other states? (approximate value)

Discussion

2814.	The cost of an article was Rs. 15,500. Rs. 450 were spent on its repairs. If it sold for a profit of 15%, find the selling price of the article.
Answer» The cost of an article was $R s . 15, 500$ . $R s . 450$ were spent on its repairs. If it sold for a profit of $15 %$ , find the selling price of the article.

Discussion

2815.	Prove that △ PQR∼△ ZYX .
Answer» Prove that $△ P Q R \sim △ Z Y X$ .

2815.

Prove that △ PQR∼△ ZYX .

Answer»

Prove that $△ P Q R \sim △ Z Y X$ .

Discussion

2816.	The value of (999)2 is , and sum of digits of value obtained is.
Answer» The value of $(999)^{2}$ is , and sum of digits of value obtained is.

Discussion

2817.	Let y be directly proportional to x. if x = 5 and y = 8 , find the constant value.
Answer» Let y be directly proportional to x. if x = 5 and y = 8 , find the constant value.

Discussion

2818.	Question 87 (viii)Write the greatest common factor in the following terms.63p2a2r2s,−9pq2r2s2,15p2qr2s2,−60p2a2rs2
Answer» Question 87 (viii) Write the greatest common factor in the following terms. $63 p^{2} a^{2} r^{2} s, - 9 p q^{2} r^{2} s^{2}, 15 p^{2} q r^{2} s^{2}, - 60 p^{2} a^{2} r s^{2}$

Discussion

2819.	Solve: 8x+4=3(x−1)+7
Answer» Solve: $8 x + 4 = 3 (x - 1) + 7$

Discussion

2820.	x^3-27÷ x-3 rang
Answer» x^3-27÷ x-3 rang

Discussion

2821.	By what smallest number should 3600 be multiplied so that the quotient is a perfect cube? Also, find the cube root of the quotient.
Answer» By what smallest number should 3600 be multiplied so that the quotient is a perfect cube? Also, find the cube root of the quotient.

Discussion

2822.	The median of the following data is _____.12, 10, 8, 24, 16, 3014
Answer» The median of the following data is _____. 12, 10, 8, 24, 16, 30 14

Discussion

2823.	There rational number lying between-8/9 and 3/4
Answer» There rational number lying between-8/9 and 3/4

Discussion

2824.	Question 45Fill in the blanks to make the statements true.The least number by which 125 be multiplied to make it a perfect square is ___.
Answer» Question 45 Fill in the blanks to make the statements true. The least number by which 125 be multiplied to make it a perfect square is ___.

2824.

Question 45Fill in the blanks to make the statements true.The least number by which 125 be multiplied to make it a perfect square is ___.

Answer»

Question 45

Fill in the blanks to make the statements true.

The least number by which 125 be multiplied to make it a perfect square is ___.

Discussion

2825.	Shouvik lends ₹1000 to Amit at an interest rate of 10% compounded annually for 2 years. Calculate the amount Amit has to pay to Shouvik at the end of 2 years.
Answer» Shouvik lends ₹1000 to Amit at an interest rate of 10% compounded annually for 2 years. Calculate the amount Amit has to pay to Shouvik at the end of 2 years.

Discussion

2826.	2. The sum of 3 real no is zero if the sum of their cubes is
Answer» 2. The sum of 3 real no is zero if the sum of their cubes is

Discussion

2827.	A line l is parallel to line m and a transversal p intersects them at X, Y respectively. Bisectors of interior angles at X and Y intersect at P and Q. Is PXQY a rectangle? Give reason.
Answer» A line l is parallel to line m and a transversal p intersects them at X, Y respectively. Bisectors of interior angles at X and Y intersect at P and Q. Is PXQY a rectangle? Give reason.

Discussion

2828.	Write down 15 rational numbers which are equivalent to 11/5 and the numerator not exceeding 180.
Answer» Write down 15 rational numbers which are equivalent to 11/5 and the numerator not exceeding 180.

Discussion

2829.	Expand by using a suitable formula.
Answer» Expand by using a suitable formula.

2829.

Expand by using a suitable formula.

Answer»

Expand by using a suitable formula.

Discussion

2830.	Visualize the following using a number line, add −6 to 7 and then subtract −8 from the result.
Answer» Visualize the following using a number line, add $- 6$ to $7$ and then subtract $- 8$ from the result.

Discussion

2831.	5x3−15x2+25x by 5x
Answer» $5 x^{3} - 15 x^{2} + 25 x b y 5 x$

Discussion

2832.	(i) Weight of one apple is 400 g. Find the weight of 12 apples.(ii) Number of apples in 4 kg
Answer» (i) Weight of one apple is 400 g. Find the weight of 12 apples. (ii) Number of apples in 4 kg

Discussion

2833.	The number of equivalence relations that can be defined on set \{a,b,c\} is
Answer» The number of equivalence relations that can be defined on set \{a,b,c\} is

Discussion

2834.	The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Pratik would be ___ years.
Answer» The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Pratik would be ___ years.

Discussion

2835.	A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10 m×5 m. Length of the boundary of the remaining park is
Answer» A square shaped park ABCD of side $100 m$ has two equal rectangular flower beds each of size $10 m \times 5 m$ . Length of the boundary of the remaining park is

Discussion

2836.	Question 113 Identify which symbol should appear in each sector of questions ?
Answer» Question 113 Identify which symbol should appear in each sector of questions ?

2836.

Question 113 Identify which symbol should appear in each sector of questions ?

Answer»

Question 113

Identify which symbol should appear in each sector of questions ?

Discussion

2837.	sum of ages of X and Y 12 years ago was 48 years.12 years hence sum of ages will be 96.find the present age of X and Y
Answer» sum of ages of X and Y 12 years ago was 48 years.12 years hence sum of ages will be 96.find the present age of X and Y

Discussion

2838.	An article is marked for sale at ₹27500. The shopkeeper allows a discount of 5% on the Marked Price. His net profit is 4.5%.How much did the shopkeeper pay for the article?
Answer» An article is marked for sale at ₹27500. The shopkeeper allows a discount of 5% on the Marked Price. His net profit is 4.5%. How much did the shopkeeper pay for the article?

Discussion

2839.	The following graph shows the daily earnings (in Rs) of a store for five days. On which day the earning falls down?
Answer» The following graph shows the daily earnings (in Rs) of a store for five days. On which day the earning falls down?

2839.

The following graph shows the daily earnings (in Rs) of a store for five days. On which day the earning falls down?

Answer»

The following graph shows the daily earnings (in Rs) of a store for five days.

On which day the earning falls down?

Discussion

2840.	Which of the following points lie on the X-axis ?
Answer» Which of the following points lie on the X-axis ?

Discussion

2841.

The following table gives the distances travelled by a car at various time-intervals. Study the table and draw a linear graph for the same. Time 6 a.m. 7 a.m. 8 a.m. 9 a.m. Distance (in km) 40 80 120 160 From your graph, answer the questions given below:(i) How much distance did the car cover during the period from 7.30 a.m. to 8 a.m.(ii) What was the time when the car had covered a distance of 100 km, since its start?(iii) How much distance had the car covered by 8.30 a.m.?

Answer» The following table gives the distances travelled by a car at various time-intervals. Study the table and draw a linear graph for the same.

Time	6 a.m.	7 a.m.	8 a.m.	9 a.m.
Distance (in km)	40	80	120	160

From your graph, answer the questions given below:

(i) How much distance did the car cover during the period from 7.30 a.m. to 8 a.m.

(ii) What was the time when the car had covered a distance of 100 km, since its start?

(iii) How much distance had the car covered by 8.30 a.m.?

Discussion

2842.	If AB \|\| CD and XY is a transversal which meets AB at M & CD at N and also ∠AMX:∠BMX=3:2, then ∠CNY=
Answer» If AB \|\| CD and XY is a transversal which meets AB at M & CD at N and also $∠ A M X : ∠ B M X = 3 : 2$ , then $∠ C N Y =$

Discussion

2843.	Factorise a2b−b3. Using this result, find the value of 1012×100−1003
Answer» $Factorise a^{2} b - b^{3} . Using this result, find the value of 101^{2} \times 100 - 100^{3}$

Discussion

2844.	It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same?[Assume π=227]
Answer» It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same? $[A s s u m e π = \frac{22}{7}]$

Discussion

2845.	Things are loaded on the cart.Thing loadedNumber of itemsWeight of each itemA chair45 kgA mattress220 kgBamboo ladder110 kgPots and pans110 kgWater tank150 kgWhat is the total weight on the cart?
Answer» Things are loaded on the cart. $\begin{matrix} Thing loaded & Number of items & Weight of each item A chair & 4 & 5 kg A mattress & 2 & 20 kg Bamboo ladder & 1 & 10 kg Pots and pans & 1 & 10 kg Water tank & 1 & 50 kg \end{matrix}$ What is the total weight on the cart?

Discussion

2846.	Construct a triangle ABC in which AB = 3.5 cm, AC = 4 cm and length of the perpendicular from A to BC is 3 cm.
Answer» Construct a triangle ABC in which AB = 3.5 cm, AC = 4 cm and length of the perpendicular from A to BC is 3 cm.

Discussion

2847.	If a^{1/p}=b^{1/q}=c^{1/r} and abc = 1, where a, b & c are distinct positive numbers, then value of (p + q + r) is
Answer» If a^{1/p}=b^{1/q}=c^{1/r} and abc = 1, where a, b & c are distinct positive numbers, then value of (p + q + r) is

Discussion

2848.	Complete the steps to construct a triangle XYZ in which ∠Y=45∘,∠Z=90∘ and XY + YZ + ZX = 13 cm.Steps of construction:Step 1: Draw a line segment AB=13 cm.Step 2: At A, construct an angle of 45∘ and at B construct an angle of 90∘.Step 3 will be :
Answer» $Complete the steps to construct a triangle XYZ in which ∠ Y = 45^{\circ}, ∠ Z = 90^{\circ} and XY + YZ + ZX = 13 cm.$ $Steps of construction: Step 1: Draw a line segment AB=13 cm. Step 2: At A, construct an angle of 45^{\circ} and at B construct an angle of 90^{\circ} . Step 3 will be :$

Discussion

2849.	The representation of l1 perpendicular to l2 is
Answer» The representation of $l_{1} perpendicular to l_{2}$ is

Discussion

2850.	The cube of 0 is ___.
Answer» The cube of 0 is ___.

Discussion

Explore topic-wise InterviewSolutions in .

From the bar graph given below, find the number of people who have their birthdays in the first 6 months starting from January?

If,a+b+c=11,abc=12,ab+bc+ca=36,then find the value of a³+b³+c³

Which of the following expressions shows that rational numbers are associative under multiplication?

Commutative law of rational numbers is ____ .

Given △ABC ~ △PQR. Find the side AB if PQ= 18 cm, AC=2.5cm and PR= 4.5cm.

What is the formula for obtaining trigonometric triplets?

Use Euclid's division lemma to show that the cube of any positive integer is of the form 9m, 9m + 1 or 9m + 8.

Construct a parallelogram PQRS such that PQ = 5.2 cm, PR = 6.8 cm, and QS = 8.2 cm.

If no clear relationship is visible between the independent and dependent variable on the scatter plot, then the variables are said to have between them.

If an acid and water are mixed in the ratio 5:6 to make a liquid. When 20 more litres of acid is added, the ratio changes to 5:2, then how many litres of acid does the liquid contain now?

(i) An ice-cream cone (ii) a cricket ball (iii) a glass tumbler (iv) a brick (v) a star Which of the above are polyhedrons?

The cost of an article was Rs. 15,500. Rs. 450 were spent on its repairs. If it sold for a profit of 15%, find the selling price of the article.

Prove that △ PQR∼△ ZYX .

The value of (999)2 is , and sum of digits of value obtained is.

Let y be directly proportional to x. if x = 5 and y = 8 , find the constant value.

Question 87 (viii)Write the greatest common factor in the following terms.63p2a2r2s,−9pq2r2s2,15p2qr2s2,−60p2a2rs2

Solve: 8x+4=3(x−1)+7

x^3-27÷ x-3 rang

By what smallest number should 3600 be multiplied so that the quotient is a perfect cube? Also, find the cube root of the quotient.

The median of the following data is _____.12, 10, 8, 24, 16, 3014

There rational number lying between-8/9 and 3/4

Question 45Fill in the blanks to make the statements true.The least number by which 125 be multiplied to make it a perfect square is ___.

Shouvik lends ₹1000 to Amit at an interest rate of 10% compounded annually for 2 years. Calculate the amount Amit has to pay to Shouvik at the end of 2 years.

2. The sum of 3 real no is zero if the sum of their cubes is

A line l is parallel to line m and a transversal p intersects them at X, Y respectively. Bisectors of interior angles at X and Y intersect at P and Q. Is PXQY a rectangle? Give reason.

Write down 15 rational numbers which are equivalent to 11/5 and the numerator not exceeding 180.

Expand by using a suitable formula.

Visualize the following using a number line, add −6 to 7 and then subtract −8 from the result.​

5x3−15x2+25x by 5x

(i) Weight of one apple is 400 g. Find the weight of 12 apples.(ii) Number of apples in 4 kg

The number of equivalence relations that can be defined on set \{a,b,c\} is

The present age of Pratik and Arjun are in the ratio 2 : 3. After 4 years, the ratio of their ages will be 4 : 5. The present age of Pratik would be ___ years.

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10 m×5 m. Length of the boundary of the remaining park is ​

Question 113 Identify which symbol should appear in each sector of questions ?

sum of ages of X and Y 12 years ago was 48 years.12 years hence sum of ages will be 96.find the present age of X and Y

An article is marked for sale at ₹27500. The shopkeeper allows a discount of 5% on the Marked Price. His net profit is 4.5%.How much did the shopkeeper pay for the article?

The following graph shows the daily earnings (in Rs) of a store for five days. On which day the earning falls down?

Which of the following points lie on the X-axis ?

If AB || CD and XY is a transversal which meets AB at M &amp; CD at N and also ∠AMX:∠BMX=3:2, then ∠CNY=

Factorise a2b−b3. Using this result, find the value of 1012×100−1003

It is required to make a closed cylindrical tank of height 1 m and base diameter 140 cm from a metal sheet. How many square meters of the sheet is required for the same?[Assume π=227]

Things are loaded on the cart.Thing loadedNumber of itemsWeight of each itemA chair45 kgA mattress220 kgBamboo ladder110 kgPots and pans110 kgWater tank150 kgWhat is the total weight on the cart?

Construct a triangle ABC in which AB = 3.5 cm, AC = 4 cm and length of the perpendicular from A to BC is 3 cm.

If a^{1/p}=b^{1/q}=c^{1/r} and abc = 1, where a, b & c are distinct positive numbers, then value of (p + q + r) is

Complete the steps to construct a triangle XYZ in which ∠Y=45∘,∠Z=90∘ and XY + YZ + ZX = 13 cm.Steps of construction:Step 1: Draw a line segment AB=13 cm.Step 2: At A, construct an angle of 45∘ and at B construct an angle of 90∘.Step 3 will be :

The representation of l1 perpendicular to l2 is

The cube of 0 is ___.

Visualize the following using a number line, add −6 to 7 and then subtract −8 from the result.

A square shaped park ABCD of side 100 m has two equal rectangular flower beds each of size 10 m×5 m. Length of the boundary of the remaining park is

If AB || CD and XY is a transversal which meets AB at M & CD at N and also ∠AMX:∠BMX=3:2, then ∠CNY=