Explore topic-wise InterviewSolutions in .

This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

10801.

Which of the following should be the FIRST sentence after rearrangement?

Answer»

Which of the following should be the FIRST sentence after rearrangement?


10802.

If (x^2-1) is a factor ax^4+bx^3+cx^2+dx+e then find the relation between a,b,c,d,e.

Answer»

If (x^2-1) is a factor ax^4+bx^3+cx^2+dx+e then find the relation between a,b,c,d,e.

10803.

Question 4The diameter of the moon is approximately one-fourth of the diameter of the earth.What fraction of the volume of the earth is the volume of the moon?

Answer» Question 4

The diameter of the moon is approximately one-fourth of the diameter of the earth.

What fraction of the volume of the earth is the volume of the moon?
10804.

Question 3If ΔABC∼ΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?(A) BC.EF = AC.FD(B) AB.EF = AC.DE(C) BC.DE = AB.EF(D) BC.DE = AB.FD

Answer» Question 3

If ΔABCΔEDF and ΔABC is not similar to ΔDEF, then which of the following is not true?



(A) BC.EF = AC.FD

(B) AB.EF = AC.DE

(C) BC.DE = AB.EF

(D) BC.DE = AB.FD
10805.

Question 19 In the figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of ∠ACD+∠BED.

Answer»

Question 19
In the figure, AOB is a diameter of the circle and C, D, E are any three points on the semi-circle. Find the value of ACD+BED.

10806.

What are irrational numbers?

Answer» What are irrational numbers?
10807.

How to represent numbers on number line

Answer»

How to represent numbers on number line

10808.

What is the Rational Number that lies between 7 and 8 ?

Answer» What is the Rational Number that lies between 7 and 8 ?
10809.

The figure shows a parallelogram PQRS, in which A is the mid point of PQ and B is the mid point of RS.Prove that SX = XY and XY = QY.

Answer»

The figure shows a parallelogram PQRS, in which A is the mid point of PQ and B is the mid point of RS.

Prove that SX = XY and XY = QY.





10810.

In a ΔABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.

Answer» In a ΔABC median AD is produced to X such that AD = DX. Prove that ABXC is a parallelogram.
10811.

Factorise: √5x2+2x−3√5

Answer»

Factorise:
5x2+2x35

10812.

Question 10 (i) ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that ΔAPB≅ΔCQD

Answer» Question 10 (i)
ABCD is a parallelogram and AP and CQ are perpendiculars from vertices A and C on diagonal BD( See the given figure). Show that

ΔAPBΔCQD
10813.

What is general solution for equation cos4θ=cos2θIs θ =nπ also general solution for this equation?

Answer» What is general solution for equation cos4θ=cos2θ
Is θ =nπ also general solution for this equation?
10814.

Question 8If the medians of a ΔABC intersect at G, then show that ar(ΔAGB)=ar(ΔBGC)=ar(ΔAGC)=13ar(ΔABC).

Answer» Question 8

If the medians of a ΔABC intersect at G, then show that ar(ΔAGB)=ar(ΔBGC)=ar(ΔAGC)=13ar(ΔABC).


10815.

Find average peak and RMS valueV=3+4sinwt

Answer» Find average peak and RMS value
V=3+4sinwt
10816.

(√3−√2)(√3+√2)=_____.

Answer»

(32)(3+2)=_____.


10817.

The sides of a triangle are in the ratio 2 : 3 : 4. If the semi-perimeter of the triangle is 36 cm, then what is its area?

Answer»

The sides of a triangle are in the ratio 2 : 3 : 4. If the semi-perimeter of the triangle is 36 cm, then what is its area?

10818.

Find the remainder when x3 − ax2 + 6x − a is divided by x − a.

Answer»

Find the remainder when x3ax2 + 6xa is divided by x − a.

10819.

An experiment involves rolling a pair of dice and recording the numbers that come up. Following are events recorded:A: the sum is greater than 8B:2 occurs on either dieC: the sum is atleast 7 and a multiple of 3. Then, which of the following is/are true:

Answer»

An experiment involves rolling a pair of dice and recording the numbers that come up. Following are events recorded:

A: the sum is greater than 8

B:2 occurs on either die

C: the sum is atleast 7 and a multiple of 3.

Then, which of the following is/are true:

10820.

What is pie ? Is pie rational or irrational ? Why ?

Answer» What is pie ?
Is pie rational or irrational ?
Why ?
10821.

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is:

Answer»

The mean of the numbers obtained on throwing a die having written 1 on three faces, 2 on two faces and 5 on one face is:

10822.

An input of 1 sin 2t+0.3 sin 20t is applied to a first order insturment having a time constant of 0.2 sec. The output is

Answer»

An input of 1 sin 2t+0.3 sin 20t is applied to a first order insturment having a time constant of 0.2 sec. The output is

10823.

Question 5 Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area.

Answer» Question 5
Sides of a triangle are in the ratio of 12:17:25 and its perimeter is 540cm.Find its area.
10824.

In a ΔABC, if ∠A = 60°, ∠B = 80° and the bisectors of ∠B and ∠C meet at O, then ∠BOC =(a) 60°(b) 120°(c) 150°(d) 30°

Answer» In a ΔABC, if ∠A = 60°, ∠B = 80° and the bisectors of ∠B and ∠C meet at O, then ∠BOC =



(a) 60°



(b) 120°



(c) 150°



(d) 30°
10825.

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.

Answer»

The curved surface area of a cylindrical pillar is 264 m2 and its volume is 924 m3. Find the diameter and the height of the pillar.

10826.

Find the volumes of a sphere whose surface area is 154 cm2.

Answer»

Find the volumes of a sphere whose surface area is 154 cm2.

10827.

The expression, (2−1+3−1+4−1)0 is equal to _________. ___

Answer»

The expression, (21+31+41)0 is equal to _________.


___
10828.

If log ab−c=log bc−a=log ca−b, then evaluate aa.bb.cc.

Answer» If log abc=log bca=log cab, then evaluate aa.bb.cc.
10829.

Draw the graph of x + 4 = 0

Answer»

Draw the graph of

x + 4 = 0



10830.

Five cubes are of edge 36 cm are joined end to end. Find the surface area of the resulting cuboid

Answer»

Five cubes are of edge 36 cm are joined end to end. Find the surface area of the resulting cuboid

10831.

is a factor of x3–2x–4.

Answer» is a factor of x32x4.
10832.

Factorise (a^7+ab^6)

Answer» Factorise (a^7+ab^6)
10833.

If the vectors −−→AB=3^i+4^k and −−→AC=5^i−2^j+4^k are the sides of a triangle ABC, then the length of the median through A is :

Answer»

If the vectors AB=3^i+4^k and AC=5^i2^j+4^k are the sides of a triangle ABC, then the length of the median through A is :

10834.

(a) A had a capital of ₹ 75,000 on 1st April, 2017. He had also goods amounting to ₹ 15,000 which he had purchased on credit and the payment had not been made. Find out the value of the total assets of the business.(b ) After a period of one month , he came to know that he had suffered a loss of ₹ 1,700. He withdrew ₹ 800 for his personal use . Find out his capital and assets of the business.

Answer» (a) A had a capital of ₹ 75,000 on 1st April, 2017. He had also goods amounting to ₹ 15,000 which he had purchased on credit and the payment had not been made. Find out the value of the total assets of the business.



(b ) After a period of one month , he came to know that he had suffered a loss of ₹ 1,700. He withdrew ₹ 800 for his personal use . Find out his capital and assets of the business.
10835.

In a class, the teacher asks the students to name few scientists. Following were the names that came - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who among the given scientists is the most popular among the students of that class?

Answer»

In a class, the teacher asks the students to name few scientists. Following were the names that came - Einstein, Newton, Einstein, Faraday, Tesla, Hawking, Einstein, Tesla, Tesla, Faraday, Einstein. Who among the given scientists is the most popular among the students of that class?


10836.

On 31st March, 2018, Cash Book of a merchant showed bank overdraft of ₹ 1,72,985. On comparing the Cash Book with Bank Statement, following discrepancies were noted:(i) Cheques issued for ₹ 60.000 were not presented in the bank till 7th April, 2018.(ii) Cheques amounting to ₹ 75.000 were deposited in the bank but were not collected(iii) A Cheque of ₹ 15,000 received from Mahesh Chand and deposited in the bank was dishonoured but the non-payment advice was not received from the bank till 1st April, 2018.(iv) ₹ 1,50,000 being the proceeds of a bill receivable collected appeared in the Pass Book but not in the Cash Book.(v) Bank charges ₹ 1,500 and interest on overdraft 8,500 appeared in the Pass Book but not in the Cash Book.(vi) Overdraft balance as per Cash Book of ₹ 500 on 28th February, 2018 was wrongly carried forward as debit balance. The error was noted at the time of preparing the Bank Reconciliation Statement as on 31st March, 2018.Prepare Bank Reconciliation Statement and show what balance the Bank Pass Book would indicate on 31st March, 2018.

Answer» On 31st March, 2018, Cash Book of a merchant showed bank overdraft of 1,72,985. On comparing the Cash Book with Bank Statement, following discrepancies were noted:

(i) Cheques issued for 60.000 were not presented in the bank till 7th April, 2018.

(ii) Cheques amounting to 75.000 were deposited in the bank but were not collected

(iii) A Cheque of 15,000 received from Mahesh Chand and deposited in the bank was dishonoured but the non-payment advice was not received from the bank till 1st April, 2018.

(iv) 1,50,000 being the proceeds of a bill receivable collected appeared in the Pass Book but not in the Cash Book.

(v) Bank charges 1,500 and interest on overdraft 8,500 appeared in the Pass Book but not in the Cash Book.

(vi) Overdraft balance as per Cash Book of 500 on 28th February, 2018 was wrongly carried forward as debit balance. The error was noted at the time of preparing the Bank Reconciliation Statement as on 31st March, 2018.

Prepare Bank Reconciliation Statement and show what balance the Bank Pass Book would indicate on 31st March, 2018.
10837.

Factorise: 27x3+y3+z3−9xyz

Answer»

Factorise: 27x3+y3+z39xyz

10838.

Which of the following should be the SECOND sentence after rearrangement?

Answer»

Which of the following should be the SECOND sentence after rearrangement?


10839.

In the given figure, lines AB and CD intersect at a point O . The sides CA and OB have been produced to E and F respectively such that (a) 190∘ (b) 230∘ (c) 210∘ (d) 270∘

Answer»

In the given figure, lines AB and CD intersect at a point O . The sides CA and OB have been produced to E and F respectively such that

(a) 190 (b) 230 (c) 210 (d) 270

10840.

For √3x2 to be irrational, x should be

Answer»

For 3x2 to be irrational, x should be



10841.

Construct ∆ DEF such that DE = EF = 6 cm, ∠F = 45° and constructs its circumcircle.

Answer» Construct DEF such that DE = EF = 6 cm, F = 45° and constructs its circumcircle.
10842.

P is the vertex of cuboid and Q, R and S are three points on the adjacent edges passing through p as shown. PQ = PR = 2 cm and PS = 1 cm. Then the area of ΔQRS(in cm2) is:

Answer» P is the vertex of cuboid and Q, R and S are three points on the adjacent edges passing through p as shown. PQ = PR = 2 cm and PS = 1 cm. Then the area of ΔQRS(in cm2) is:


10843.

In the below figure, if ΔABE≅ΔACD, show that ΔADE∼ΔABC.

Answer» In the below figure, if ΔABEΔACD, show that ΔADEΔABC.


10844.

Find the square of 32 by using the formula (a+b)2=a2+2ab+b2

Answer» Find the square of 32 by using the formula (a+b)2=a2+2ab+b2
10845.

Radius of a circle with centre O is 25 cm. Find the distance of a chord from the centre if length of the chord is 48 cm.

Answer» Radius of a circle with centre O is 25 cm. Find the distance of a chord from the centre if length of the chord is 48 cm.

10846.

Which of the following is/are true for matrix addition and scalar multiplication?

Answer»

Which of the following is/are true for matrix addition and scalar multiplication?

10847.

Question 9 (v)Classify 1.101001000100001… as rational or irrational.

Answer»

Question 9 (v)

Classify 1.101001000100001… as rational or irrational.





10848.

Find the volume of a hexagonal prism whose base area is 40 cm2 and height is 35 cm in cm3.1400

Answer» Find the volume of a hexagonal prism whose base area is 40 cm2 and height is 35 cm in cm3.
  1. 1400
10849.

Solve the following systems of equations: x+y=2xy x−yxy=6

Answer»

Solve the following systems of equations:

x+y=2xy

xyxy=6

10850.

ABCD is a parallelogram with diagonal AC. If a line XY is drawn such that it cuts the side AD at point Z and XY || AB, then find the value of BXXC.

Answer» ABCD is a parallelogram with diagonal AC. If a line XY is drawn such that it cuts the side AD at point Z and XY || AB, then find the value of BXXC.