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.

1451.

The mid-point of a line is (-4,-2) and one end of the line is (-6,4). The co-ordinates of the other end are

Answer»

`(2,-8)`
`(-2,8)`
`(-2,-8)`
`(2,8)`

ANSWER :C
1452.

A tangent PQ at a point Pon a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 13 cm. Find PQ.

Answer»


ANSWER :`PQ=12cm`
1453.

Fill in the blanks in the following table, given that a is the first term, d the common difference and a_(n) the nth term of the A.P.

Answer»


Answer :(i) `a_(1) =28`, (II) d=2, (iii) a=46, (iv) N=10, (V) `a_(n) = 3.5`
1454.

In the given figure DeltaODC ~ DeltaOBA, /_BOC = 125^@, /_OCD = 70^@, then /_OCD………. .

Answer»


ANSWER :SIMILAR
1455.

triangle RST~ triangle ZYZ. In triangleRST, RS=4.5 cm, /_RST=40^(@), ST=5.7 cm. Construct triangleRST " and" triangle XYZ, such that (RS)/(XY)=(3)/(5).

Answer»


ANSWER :YZ=9.5 CM
1456.

If the length of diagonal of a square is sqrt32cm, then calculate the area of the square.

Answer»
1457.

Draw a right DeltaABC in which BC=12 cm, AB=5 cm, and angleB=90^(@). Construct a triangle similar to it and of scale factor (2)/(3). Is the new triangle also a right triangle ?

Answer»

Solution :Steps of construction
1. Draw a LINE segment BC=12 cm.
2. From B draw a line AB=5 cm which makes right angle at B.

3. Join AC, `DeltaABC` is the givenright triangle.
4. From B draw an acute `angleCBY` downwards.
5. On ray BY, mark three POINTS `B_(1),B_(2) " and " B_(3)`, such that `BB_(1)=B_(1)B_(2)=B_(2)B_(3)`.
6. Join `B_(3)C`.
7. From point `B_(2)` draw `B_(2)N||B_(3)C` intersect BC at N.
8. From point N draw `NM||CA` intersect BA at M. `DeltaMBN` is the required triangle. `DeltaMBN` is ALSO a right angled triangle at B.
1458.

Shri Patil purchased 140 shasres of a company at MV Rs. 1150. FV of the share is Rs. 100. Brokerage is paid at 0.3% and GST onbrokerage is 18%. Find (i) the total value of the shares. (ii) the brokerage paid (iii) GST paid on brokerage (iv) total investment for purchasing shares.

Answer»

Solution :`MV=` Rs. 1150, Number of shares `=140`
(i) Total value of shares `=MVxx` Number of shares
`=1150xx140=Rs. 1,61,00`
(II) The rate of brokerage `=0.3%`
The brokerage paid `=` total value `XX` rate of brokerage
`=161000xx0.3/100=Rs. 483`
(iii) GST on brokerage `=` brokerage amount `xx` the rate of GST
`=483xx18/100=Rs. 86.94`
(iv) Total INVESTMENT for purchasing 140 shares
`=` total vale of shares `+` brokerage `+` GST
`=Rs. (161000+486+86.94)=Rs. 1,61,569.94`
Ans (i) Rs. 1,61,000 (ii) Rs. 483 (iii) Rs. 86.94 (iv) Rs. 1,61,569.94
1459.

Which of the following lists of numbers form GP? (i) 3,6,12,…….. (ii) 64, -32, 16, (iii) 1/64, 1/32, 1/8,………

Answer»


ANSWER :(i) 2, (II) `-1/2`, (III) not an AP
1460.

A wheel has a radius of 42cm. To cover a distance of 792m, the number of revolutions it makes is

Answer»

350
400
300
270

Answer :C
1461.

If the volume of a cube is 1728 cm^(3) the length of its edge is ......... cm.

Answer»


ANSWER :12
1462.

From an external point P, tangents PA and PB are drawn to a circle. CE is a tangent to the circle at D which intersect PA and PB at point E and C respectvely. If AP=15 cm, find the permeter of the trianglePEC.

Answer»


ANSWER :30CM
1463.

A 20 m deep well with diameter 7 m. is dug and the earth got by digging is evenly spread out to form a rectangular platform of base 22m. times 14m. Find the height of the platform.

Answer»


ANSWER :2.5 m
1464.

Solve the following simultaneous equations graphically : 3x - y = 2 , 2x - y = 3

Answer»


Answer :The solution of the GIVEN SIMULTANEOUS equations is ` X = -1`, y = -5 `
1465.

One side of a square is 5.5 cm. What is its two perimeter?

Answer»


ANSWER :22CM
1466.

Choose the best alternative as the answer- A camera always has

Answer»

Lens
Reels
Flash
Photograph

Answer :A
1467.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. QUALITY

Answer»




ANSWER :C
1468.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. LATERAL

Answer»




ANSWER :B
1469.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. BUZZER

Answer»




ANSWER :A
1470.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. WESTERN

Answer»




ANSWER :D
1471.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. FIXING

Answer»




ANSWER :B
1472.

In the following question, you are given a combination of letters followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. REASONING

Answer»




ANSWER :B
1473.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. QUANTITATIVE

Answer»




ANSWER :D
1474.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. JUDGEMENT

Answer»




ANSWER :C
1475.

Directions : In each one of the following questions, you are given a combination of letters or/and numbers followed by four alternatives (a), (b), (c ) and (d). Choose the alternative which most closely resembles the mirror-image of the given combination. CHEAPER

Answer»




ANSWER :C
1476.

Differentiate the following with respect to x using first principle method. sec^(3)x

Answer»


ANSWER :`3SEC^(3)x.tanx`
1477.

A solid consisting of a right circular cone, standing on a hemisphere, is placed upright, in a right circular cylinder, full of water, and touches the bottom. Find the volume of water left in the cylinder, having given that the radius of the cylinder is 3 cm and its height is 6 cm, the radius of the hemisphere is 2 cm and the height of the cone is 4 cm. Give your answer correct to the nearest centimetre ( Takepi = 3 (1)/(7))

Answer»


ANSWER :`136 CM ^(3)`
1478.

Find the volume of the largest cylinder formed when a rectangular piece of paper 22 cm by 15 cm is rolled along its longer side.

Answer»


ANSWER :`577.5 CM ^(3)`
1479.

The slant height of a frustum of a cone is 4 m and the perimeter of circular ends are 18 m and 16 m. Find the cost of painting its curved surface at 10 per sq. m.

Answer»


ANSWER :RS 680
1480.

Find the sum of the first 40 terms of the A.P. whose 4th term is 8 and 6th term is 14.

Answer»


ANSWER :2300
1481.

Draw a circle of diameter 9 cm. Mark a point at a distance of 7.5 cm from the centre of the circle. Draw tangents to the given circle from this exterior point. Measure the length of each tangent.

Answer»


ANSWER :6 CM
1482.

Find the volume of the largest curcular cone that can be cut out from a cube whose edge is 9 cm.

Answer»


ANSWER :190.93 `CM^(3)`
1483.

A straight highway leads to the foot of a tower. A man standing at the top of the tower observes a car at an angle of depression of 30^(@), which is approaching the foot of the tower with a uniform speed. Six seconds later, the angle of depression of the car is found to be 60^(@). FInd the time taken by the car to reach the foot of the tower from this point.

Answer»


ANSWER :3 SECONDS
1484.

To draw two tangents to a circle which are inclined at an angle of 60° the perpendiculars are to be drawn at the ends of two radii which are inclined at an angle of ..........

Answer»

`60^(@)`
`120^(@)`
`90^(@)`
`75^(@)`

Answer :A::B
1485.

State with reason, whether the following are true or false, A,B, and C are matrices of order 2 xx 2 (i) A.B=B.A (ii) A. (B.C)=(A.B).C (iii) (A+B)^2=A^2+2AB+B^2 (iv) A.(B+C)=A.B+A.C

Answer»


ANSWER :(i) False, (ii) TRUE, (iii) False, (IV) True
1486.

In the given figure, the Transverse Common Tangent is :

Answer»

XY
PQ
AB
`Q_(1), Q_(2)`

Answer :C
1487.

Consider the following distribution of daily wages of 50 workers of a factory. Find the mean daily wages of the workers of the factory by using an appropriate method.

Answer»


ANSWER :RS. 313
1488.

Six friends are sitting around a circular table at equal distance from each other. Sita is sitting two places right of Gita who is exactly opposite to Nita. Nita is on immediate left of Lata, who is exactly opposite to Rita. Mita is also sitting at the table. Which of the following statements is not correct?

Answer»

Mita and Sita are exactly OPPOSITE to each other
Rita and Mita are EQUAL DISTANCE from GITA
Angle subtended by Rita and Mita is same as the angle subtended by Sita and Lata at the centre of the table
Mita is on the immediate left of Lata.

Solution :The given information can be represented on a circle as shown.

Statement (d) is not correct as Mita is on the immediate RIGHT of Lata.
1489.

Six friends are sitting around a circular table at equal distance from each other. Sita is sitting two places right of Gita who is exactly opposite to Nita. Nita is on immediate left of Lata, who is exactly opposite to Rita. Mita is also sitting at the table. The angle subtended by Mita and Nita at the centre of the table is:

Answer»

`60^@`
`120^@`
`90^@`
`180^@`

Solution :The given INFORMATION can be REPRESENTED on a circle as SHOWN.

Angle between Mita and Nita is `120^@`
1490.

Six friends are sitting around a circular table at equal distance from each other. Sita is sitting two places right of Gita who is exactly opposite to Nita. Nita is on immediate left of Lata, who is exactly opposite to Rita. Mita is also sitting at the table. Sita is not sitting at equal distance from:

Answer»

Rita and Nita
Lata and Gita
Mita and Lata
All of the above

Solution :The given information can be represented on a circle as shown.

Sita is not SITTING at equal DISTANCES from Mita and Lata.
1491.

Six friends are sitting around a circular table at equal distance from each other. Sita is sitting two places right of Gita who is exactly opposite to Nita. Nita is on immediate left of Lata, who is exactly opposite to Rita. Mita is also sitting at the table. Who is the only person sitting between Gita and Sita?

Answer»

Rita
Mita
Lata
Nita

Solution :The GIVEN INFORMATION can be represented on a CIRCLE as SHOWN.

Rita is between Gita and SITA.
1492.

Six friends are sitting around a circular table at equal distance from each other. Sita is sitting two places right of Gita who is exactly opposite to Nita. Nita is on immediate left of Lata, who is exactly opposite to Rita. Mita is also sitting at the table. Gita is sitting to the

Answer»

LEFT of Mita
Right of Rita
Left of Rita
Right of Nita

Solution :The GIVEN information can be REPRESENTED on a circle as SHOWN.

Gita is sitting to the left of Rita.
1493.

If the standard deviation of the data 2, 3, 5, 7, 8, is 2.28 what will be standard deviation of the data 10, 15, 25, 35, 40?

Answer»

11.4
0.456
`2.28^5`
7.28

Answer :a
1494.

A dealer supplied Walky-Talky set of 84,000 (with GST) to police control room. Rate of GST is 12%. Find the amount of state and central GST charged by the dealer Also find the taxable value of the set.

Answer»


Answer :`therefore` Amount of STATE of central GST charged by the DEALER is 4500 each. Taxable value of the SET is 75,000.
1495.

A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. As shown in the given figure. If the height of the cylinder is 10 cm, and its base is of radius 3.5 cm find the total surface area of the article.

Answer»


ANSWER :374 `cm^2`
1496.

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2. A-B=B-A

Answer»


ANSWER :FALSE, SUBTRACTION of MATRICES is not COMMUTATIVE
1497.

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2. A+B=B+A

Answer»


ANSWER :TRUE, ADDITION of MATRICES is COMMUTATIVE
1498.

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2. (A-B).C=A.C-B.C

Answer»


ANSWER :TRUE, multiplication of matrices is DISTRIBUTIVE over ADDITION
1499.

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2. (A+B).C=A.C+B.C

Answer»


ANSWER :True, MULTIPLICATION of MATRICES is DISTRIBUTIVE over ADDITION
1500.

State with reason, whether the following are true of false. A, B and C are matrices of order 2 xx 2. (A-B)^2=A^2-2A. B+B^2.

Answer»


ANSWER :False, LAWS of ALGEBRA for factorization and expansion are not applicable to MATRICES