16437 + Interview Questions in Mathematics Page 104 InterviewSolution

5151.	The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit exactly once, is(a) 120(b) 96(c) 24(d) 100
Answer» The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit exactly once, is (a) 120 (b) 96 (c) 24 (d) 100

Discussion

5152.	Which image shows thirds of a whole? Tap on the correct option.
Answer» Which image shows thirds of a whole? Tap on the correct option.

Discussion

5153.	Trace the figure and draw the lines of symmetry, if any:
Answer» Trace the figure and draw the lines of symmetry, if any:

5153.

Trace the figure and draw the lines of symmetry, if any:

Answer»

Trace the figure and draw the lines of symmetry, if any:

Discussion

5154.	Which of the following is the mirror image of given shape along the dotted line?
Answer» Which of the following is the mirror image of given shape along the dotted line?

Discussion

5155.	If an angle measures 192∘, then its called a/an ______.
Answer» If an angle measures $192^{\circ}$ , then its called a/an ______.

Discussion

5156.	नीचे दिए गए वाक्यों को ध्यान में पढ़िए-(क) हमारा वतन तो जी लाहौर ही है।(ख) क्या सब कानून हुकूमत के ही होते हैं?सामान्यतः 'ही' निपात का प्रयोग किसी बात पर बल देने के लिए किया जाता है। ऊपर दिए गए दोनों वाक्यों में 'ही' के प्रयोग से अर्थ में क्या परिवर्तन आया है? स्पष्ट कीजिए। 'ही' का प्रयोग करते हुए दोनों तरह के अर्थ वाले पाँच-पाँच वाक्य बनाइए।
Answer» नीचे दिए गए वाक्यों को ध्यान में पढ़िए- (क) हमारा वतन तो जी लाहौर ही है। (ख) क्या सब कानून हुकूमत के ही होते हैं? सामान्यतः 'ही' निपात का प्रयोग किसी बात पर बल देने के लिए किया जाता है। ऊपर दिए गए दोनों वाक्यों में 'ही' के प्रयोग से अर्थ में क्या परिवर्तन आया है? स्पष्ट कीजिए। 'ही' का प्रयोग करते हुए दोनों तरह के अर्थ वाले पाँच-पाँच वाक्य बनाइए।

Discussion

5157.	Use the cross multiplication method to find which fraction is greater. 513 or 712
Answer» Use the cross multiplication method to find which fraction is greater. $\frac{5}{13} o r \frac{7}{12}$

Discussion

5158.	288 is completely divisible by__________.
Answer» 288 is completely divisible by__________.

Discussion

5159.	Which of the following is an adjacent side of AB?
Answer» Which of the following is an adjacent side of AB?

Discussion

5160.	If a number is entered as input and it is then added with 2 followed by multiplication with 2, the output of 16 is observed. What is the number?
Answer» If a number is entered as input and it is then added with 2 followed by multiplication with 2, the output of 16 is observed. What is the number?

Discussion

5161.	Mark the correct alternative in the following question:The present ages of Renu and Ravi are in the ratio 5 : 6. The sum of their present ages is 44 in years. The difference of their ages (in years) is(a) 4 (b) 5 (c) 8 (d) 2
Answer» Mark the correct alternative in the following question: The present ages of Renu and Ravi are in the ratio 5 : 6. The sum of their present ages is 44 in years. The difference of their ages (in years) is (a) 4 (b) 5 (c) 8 (d) 2

Discussion

5162.	Write m×m×m×n×n×p×p×p×p using exponents.
Answer» Write $m \times m \times m \times n \times n \times p \times p \times p \times p$ using exponents.

Discussion

5163.	At which of the times shown in the options, will the hour hand and the minute hand of your clock be perpendicular to each other?
Answer» At which of the times shown in the options, will the hour hand and the minute hand of your clock be perpendicular to each other?

Discussion

5164.	How to find LCM of π,2π,[π÷3]?
Answer» How to find LCM of π,2π,[π÷3]?

Discussion

5165.	It it takes $1254 to mow 512 yd of the lawn. What is the cost of mowing 1 yd.75
Answer» It it takes $$ \frac{125}{4}$ to mow $\frac{5}{12}$ yd of the lawn. What is the cost of mowing 1 yd. 75

Discussion

5166.	Question 1(b)Answer the following:The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?
Answer» Question 1(b) Answer the following: The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

5166.

Question 1(b)Answer the following:The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

Answer»

Question 1(b)

Answer the following:

The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

Discussion

5167.	The weight of 1 cubic centimeter of iron is 7.8 grams. In what all ways can we express the relation between the weight of an object made of iron and its volume? Give a shortened version using letters.
Answer» The weight of 1 cubic centimeter of iron is 7.8 grams. In what all ways can we express the relation between the weight of an object made of iron and its volume? Give a shortened version using letters.

Discussion

5168.	A box contains 6 white, 7 purple and 3 black balls. Balls are picked randomly one at a time without replacement. Prob. (picking purple then black) is.
Answer» A box contains 6 white, 7 purple and 3 black balls. Balls are picked randomly one at a time without replacement. Prob. (picking purple then black) is.

Discussion

5169.	What will be the sum of the following?a. 4 and 5b. -4 and 5c. 4 and -5d. -4 and -5
Answer» What will be the sum of the following? a. 4 and 5 b. -4 and 5 c. 4 and -5 d. -4 and -5

Discussion

5170.	Verify Mean Value Theorem, if f(x)=x3−5x2−3x in the interval [a,b], where a=1 and b=3. Find all c∈(1,3) for which f′(c)=0
Answer» Verify Mean Value Theorem, if $f (x) = x^{3} - 5 x^{2} - 3 x$ in the interval $[a, b]$ , where $a = 1$ and $b = 3$ . Find all $c \in (1, 3)$ for which $f^{'} (c) = 0$

Discussion

5171.	The lengths of two sides of a triangle are 13cm and 16cm. The third side should lie between 'a' cm and 'b' cm for the triangle to be formed. Then the value of a + b = ___ cms.
Answer» The lengths of two sides of a triangle are 13cm and 16cm. The third side should lie between 'a' cm and 'b' cm for the triangle to be formed. Then the value of a + b = ___ cms.

Discussion

5172.	Question 2(v)Divide the given polynomial by the given monomial(p3q6−p6q3)÷p3q3
Answer» Question 2(v) Divide the given polynomial by the given monomial $(p^{3} q^{6} - p^{6} q^{3}) \div p^{3} q^{3}$

Discussion

5173.	33. In the given figure,ABCD is a quadrilateral such that AB\|\|DC and BC\|\|AD. Prove that AD=BC and AB=CD
Answer» 33. In the given figure,ABCD is a quadrilateral such that AB\|\|DC and BC\|\|AD. Prove that AD=BC and AB=CD

Discussion

5174.	Question 3 The number of line segments in the given figure is a) 5 b) 15 c) 10 d) 20
Answer» Question 3 The number of line segments in the given figure is a) 5 b) 15 c) 10 d) 20

5174.

Question 3 The number of line segments in the given figure is a) 5 b) 15 c) 10 d) 20

Answer»

Question 3
The number of line segments in the given figure is
a) 5
b) 15
c) 10
d) 20

Discussion

5175.	Seeta got 75% marks out of a total of 800. How many marks did she lose?
Answer» Seeta got 75% marks out of a total of 800. How many marks did she lose?

Discussion

5176.	5. Which among the following is greater ? 17-12 OR 11-6 and how ?
Answer» 5. Which among the following is greater ? 17-12 OR 11-6 and how ?

Discussion

5177.	113.The number of solution of the equation y=1/3[sinx+[sinx+[sinx]] and [y+[y]] =2cosx is
Answer» 113.The number of solution of the equation y=1/3[sinx+[sinx+[sinx]] and [y+[y]] =2cosx is

Discussion

5178.	The number of right angles in a straight angle is ______ and in a complete angle is ________.
Answer» The number of right angles in a straight angle is ______ and in a complete angle is ________.

Discussion

5179.	Ram had x chocolates and he gets the same number of chocolates from his friend. Now, he has number of chocolates
Answer» Ram had $x$ chocolates and he gets the same number of chocolates from his friend. Now, he has number of chocolates

Discussion

5180.	Cindy had 97 candies. She gave Joey 2397 of the candies. How many candies will Joey have?
Answer» Cindy had 97 candies. She gave Joey $\frac{23}{97}$ of the candies. How many candies will Joey have?

Discussion

5181.	OD is perpendicular on AB of the circle with centre O. If BC is a diameter, thwn prove that CQ=2OD.
Answer» OD is perpendicular on AB of the circle with centre O. If BC is a diameter, thwn prove that CQ=2OD.

Discussion

5182.	Mark the correct answer in each of the following:Which of the following is the converse of the statement?"If Billu secure good marks, then he will get a bicycle."(a) If Billu will not get bicycle, then he will not secure good marks.(b) If Billu will get a bicycle, then he will secure good marks.(c) If Billu will get a bicycle, then he will not secure good marks.(d) If Billu will not get a bicycle, then he will secure good marks.
Answer» Mark the correct answer in each of the following: Which of the following is the converse of the statement? "If Billu secure good marks, then he will get a bicycle." (a) If Billu will not get bicycle, then he will not secure good marks. (b) If Billu will get a bicycle, then he will secure good marks. (c) If Billu will get a bicycle, then he will not secure good marks. (d) If Billu will not get a bicycle, then he will secure good marks.

Discussion

5183.	Find the smallest value of 'a' if 3a9 is divisible by 9.
Answer» Find the smallest value of 'a' if 3a9 is divisible by 9.

Discussion

5184.	39.How to find equivalent resistance of a polygon (square) with diagonals ?
Answer» 39.How to find equivalent resistance of a polygon (square) with diagonals ?

Discussion

5185.	The number of line segments required to construct a triangle is:
Answer» The number of line segments required to construct a triangle is:

Discussion

5186.	What is the general rule that gives the number of matchsticks in terms of the number of triangles as shown in the figure?
Answer» What is the general rule that gives the number of matchsticks in terms of the number of triangles as shown in the figure?

Discussion

5187.	Percentage of free space in cubic closed packed structure or FCC and in BCC packed are respectively:a) 32% & 48%b) 48% & 26% c) 30% & 26%d) 26% & 32%
Answer» Percentage of free space in cubic closed packed structure or FCC and in BCC packed are respectively: a) 32% & 48% b) 48% & 26% c) 30% & 26% d) 26% & 32%

Discussion

5188.	Find which of the following numbers are divisible by 3: (i) 261 (ii) 777 (iii) 6657 (iv) 2574
Answer» Find which of the following numbers are divisible by 3: (i) 261 (ii) 777 (iii) 6657 (iv) 2574

5188.

Find which of the following numbers are divisible by 3: (i) 261 (ii) 777 (iii) 6657 (iv) 2574

Answer»

Find which of the following numbers are divisible by 3:

(i) 261 (ii) 777

(iii) 6657 (iv) 2574

Discussion

5189.	Question 72In the following question, state whether the given statements are true (T) or false (F).(−4)−4×(4)−1=(4)5
Answer» Question 72 In the following question, state whether the given statements are true (T) or false (F). $(- 4)^{- 4} \times (4)^{- 1} = (4)^{5}$

5189.

Question 72In the following question, state whether the given statements are true (T) or false (F).(−4)−4×(4)−1=(4)5

Answer»

Question 72

In the following question, state whether the given statements are true (T) or false (F).

$(- 4)^{- 4} \times (4)^{- 1} = (4)^{5}$

Discussion

5190.	A point does not have any ___.
Answer» A point does not have any ___.

Discussion

5191.	4. If 4 whole numbers taken at random are multiplied together,then prob that the last digit in the product is 1,3,7 or 9 is
Answer» 4. If 4 whole numbers taken at random are multiplied together,then prob that the last digit in the product is 1,3,7 or 9 is

Discussion

5192.	What is the number of 5 digit numbers that can be formed using the digits 2,3,4,5,9 so that no digit is repeated?
Answer» What is the number of 5 digit numbers that can be formed using the digits 2,3,4,5,9 so that no digit is repeated?

Discussion

5193.	Razia completes 37 part of her homework while Rekha completed 49 of it. Who has completed the least part?
Answer» Razia completes $\frac{3}{7}$ part of her homework while Rekha completed $\frac{4}{9}$ of it. Who has completed the least part?

Discussion

5194.	Match the coloured part of the following figures with the corresponding fractions they represent.
Answer» Match the coloured part of the following figures with the corresponding fractions they represent.

Discussion

5195.	Question 8Sum of a−b+ab, b+c−bc and c−a−ac isa) 2c+ab−ac−bcb) 2c−ab−ac−bcc) 2c+ab+ac+bcd) 2c−ab+ac+bc
Answer» Question 8 Sum of $a - b + a b, b + c - b c$ and $c - a - a c$ is a) $2 c + a b - a c - b c$ b) $2 c - a b - a c - b c$ c) $2 c + a b + a c + b c$ d) $2 c - a b + a c + b c$

Discussion

5196.	Question 7Call all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.
Answer» Question 7 Call all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.

Discussion

5197.	Consider the following information and answer the questions that follow. There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted. Q65. How many cubes will have no face painted? नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए। 16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है। Q65. कितने घनों की कोई भी फ़लक रंगी हुई नहीं है?
Answer» Consider the following information and answer the questions that follow. There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted. Q65. How many cubes will have no face painted? नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए। 16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है। Q65. कितने घनों की कोई भी फ़लक रंगी हुई नहीं है?

5197.

Consider the following information and answer the questions that follow. There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted. Q65. How many cubes will have no face painted? नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए। 16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है। अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है। Q65. कितने घनों की कोई भी फ़लक रंगी हुई नहीं है?

Answer»

Consider the following information and answer the questions that follow.

There is a solid cuboid with dimensions 16 cm×16 cm×12 cm, which is painted with red colour on all its six faces. It is then cut into identical cubes of maximum possible size such that no part of cuboid is wasted.

Q65. How many cubes will have no face painted?

नीचे दी गई जानकारी पर विचार कीजिए और इसके आगे आने वाले प्रश्न का उत्तर दीजिए।

16 से.मी. × 16 से.मी. × 12 से.मी. के आयामों वाला एक ठेस घनाभ है, जिसकी सभी छह फलकों को लाल रंग से रंगा गया है।

अब इसे अधिकतम संभव आकार के समान घनों में इस तरह काटा जाता है कि घनाभ का कोई भी भाग व्यर्थ नहीं जाता है।

Q65. कितने घनों की कोई भी फ़लक रंगी हुई नहीं है?

Discussion

5198.	Find the value of −2(1−m2)−4(m2−(2−m2)) if m =0.6
Answer» Find the value of $- 2 (1 - m^{2}) - 4$ $(m^{2} - (2 - m^{2}))$ if m =0. 6

Discussion

5199.	A spice dealer bought 12 quintals of pepper at 11,000 rupees a quintal, expecting a price rise. He spent 1,000 rupees for cleaning the pepper. But the prices actually started to fall and so he sold this all at 10,500 rupees a quintal, to avoid heavier losses later. How much is his loss in this deal?
Answer» A spice dealer bought 12 quintals of pepper at 11,000 rupees a quintal, expecting a price rise. He spent 1,000 rupees for cleaning the pepper. But the prices actually started to fall and so he sold this all at 10,500 rupees a quintal, to avoid heavier losses later. How much is his loss in this deal?

Discussion

5200.	How many sides a heptagon has?
Answer» How many sides a heptagon has?

Discussion

Explore topic-wise InterviewSolutions in .

The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using each digit exactly once, is(a) 120(b) 96(c) 24(d) 100

Which image shows thirds of a whole? Tap on the correct option.

Trace the figure and draw the lines of symmetry, if any:

Which of the following is the mirror image of given shape along the dotted line?

If an angle measures 192∘, then its called a/an ______.

Use the cross multiplication method to find which fraction is greater. 513 or 712

288 is completely divisible by__________.

Which of the following is an adjacent side of AB?

If a number is entered as input and it is then added with 2 followed by multiplication with 2, the output of 16 is observed. What is the number?

Mark the correct alternative in the following question:The present ages of Renu and Ravi are in the ratio 5 : 6. The sum of their present ages is 44 in years. The difference of their ages (in years) is(a) 4 (b) 5 (c) 8 (d) 2

Write m×m×m×n×n×p×p×p×p using exponents.

At which of the times shown in the options, will the hour hand and the minute hand of your clock be perpendicular to each other?

How to find LCM of π,2π,[π÷3]?

It it takes $1254 to mow 512 yd of the lawn. What is the cost of mowing 1 yd.75

Question 1(b)Answer the following:The length of a rectangular hall is 4 meters less than 3 times the breadth of the hall. What is the length, if the breadth is b meters?

The weight of 1 cubic centimeter of iron is 7.8 grams. In what all ways can we express the relation between the weight of an object made of iron and its volume? Give a shortened version using letters.

A box contains 6 white, 7 purple and 3 black balls. Balls are picked randomly one at a time without replacement. Prob. (picking purple then black) is.

What will be the sum of the following?a. 4 and 5b. -4 and 5c. 4 and -5d. -4 and -5

Verify Mean Value Theorem, if f(x)=x3−5x2−3x in the interval [a,b], where a=1 and b=3. Find all c∈(1,3) for which f′(c)=0

The lengths of two sides of a triangle are 13cm and 16cm. The third side should lie between 'a' cm and 'b' cm for the triangle to be formed. Then the value of a + b = ___ cms.

Question 2(v)Divide the given polynomial by the given monomial(p3q6−p6q3)÷p3q3

33. In the given figure,ABCD is a quadrilateral such that AB||DC and BC||AD. Prove that AD=BC and AB=CD

Question 3 The number of line segments in the given figure is a) 5 b) 15 c) 10 d) 20

Seeta got 75% marks out of a total of 800. How many marks did she lose?

5. Which among the following is greater ? 17-12 OR 11-6 and how ?

113.The number of solution of the equation y=1/3[sinx+[sinx+[sinx]] and [y+[y]] =2cosx is

The number of right angles in a straight angle is ______ and in a complete angle is ________.

Ram had x chocolates and he gets the same number of chocolates from his friend. Now, he has number of chocolates

Cindy had 97 candies. She gave Joey 2397 of the candies. How many candies will Joey have?

OD is perpendicular on AB of the circle with centre O. If BC is a diameter, thwn prove that CQ=2OD.

Find the smallest value of 'a' if 3a9 is divisible by 9.

39.How to find equivalent resistance of a polygon (square) with diagonals ?

The number of line segments required to construct a triangle is:

What is the general rule that gives the number of matchsticks in terms of the number of triangles as shown in the figure?

Percentage of free space in cubic closed packed structure or FCC and in BCC packed are respectively:a) 32% & 48%b) 48% & 26% c) 30% & 26%d) 26% & 32%

Find which of the following numbers are divisible by 3: (i) 261 (ii) 777 (iii) 6657 (iv) 2574

Question 72In the following question, state whether the given statements are true (T) or false (F).(−4)−4×(4)−1=(4)5

A point does not have any ___.

4. If 4 whole numbers taken at random are multiplied together,then prob that the last digit in the product is 1,3,7 or 9 is

What is the number of 5 digit numbers that can be formed using the digits 2,3,4,5,9 so that no digit is repeated?

Razia completes 37 part of her homework while Rekha completed 49 of it. Who has completed the least part?

Match the coloured part of the following figures with the corresponding fractions they represent.

Question 8Sum of a−b+ab, b+c−bc and c−a−ac isa) 2c+ab−ac−bcb) 2c−ab−ac−bcc) 2c+ab+ac+bcd) 2c−ab+ac+bc

Question 7Call all the four angles of a quadrilateral be obtuse angles? Give reason for your answer.

Find the value of −2(1−m2)−4(m2−(2−m2)) if m =0.6

How many sides a heptagon has?

The number of right angles in a straight angle is and in a complete angle is __.