Explore topic-wise InterviewSolutions in Current Affairs.

This section includes 7 InterviewSolutions, each offering curated multiple-choice questions to sharpen your Current Affairs knowledge and support exam preparation. Choose a topic below to get started.

1.

Using a graph paper, draw an ogive for the following distribution which shows the marks obtained in the General Knowledge paper by 100 Marks0−1010−2020−3030−4040−5050−6060−7070−80NO. of Student5102025151294 Use the ogive to estimate: (i) the median. (ii) the number of students who score marks above 65 .

Answer»

Using a graph paper, draw an ogive for the following distribution which shows the marks obtained in the General Knowledge paper by 100

Marks0101020203030404050506060707080NO. of Student5102025151294

Use the ogive to estimate:

(i) the median.
(ii) the number of students who score marks above 65 .


2.

Question 10 The following table shows the cumulative frequency distribution of marks of 800 students in an examination. MarksNumber of studentsBelow 1010Below 2050Below 30130Below 40270Below 50440Below 60570Below 70670Below 80740Below 90780Below 100800 Construct a frequency distribution table for the data above.

Answer» Question 10
The following table shows the cumulative frequency distribution of marks of 800 students in an examination.
MarksNumber of studentsBelow 1010Below 2050Below 30130Below 40270Below 50440Below 60570Below 70670Below 80740Below 90780Below 100800
Construct a frequency distribution table for the data above.
3.

A bucket is in the form of a frustum of a cone, its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. Find how many litres of water can the bucket hold? (Take π = 227)

Answer»

A bucket is in the form of a frustum of a cone, its depth is 15 cm and the diameters of the top and the bottom are 56 cm and 42 cm respectively. Find how many litres of water can the bucket hold? (Take π = 227)


4.

Solve for x and y: 2x−3y=9,3x+7y=2 (y≠0).

Answer»

Solve for x and y:

2x3y=9,3x+7y=2 (y0).

5.

Statement : R<O≤L≤E ; G=E≥S ; P≤S Conclusion 1 : R > P Conclusion 2 :P≤E

Answer»

Statement : R<OLE ; G=ES ; PS
Conclusion 1 : R > P
Conclusion 2 :PE

6.

If the m th term of an AP is 1/n and the n th term is 1/m. Show that the sum of mn is 1/2(mn+1)

Answer» If the m th term of an AP is 1/n and the n th term is 1/m. Show that the sum of mn is 1/2(mn+1)
7.

The sum of first n terms of two APs are in teh ratio (3n +8) : (7n + 15). Find hte ratio of their 12th terms.

Answer»

The sum of first n terms of two APs are in teh ratio (3n +8) : (7n + 15).
Find hte ratio of their 12th terms.

8.

What is an A.P?

Answer» What is an A.P?
9.

A solid iron pole having cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high find the mass of the pole,given that the mass of 1cm3 of iron is 8 gm.

Answer»

A solid iron pole having cylindrical portion 110 cm high and of base diameter 12 cm is surmounted by a cone 9 cm high find the mass of the pole,given that the mass of 1cm3 of iron is 8 gm.

10.

The sum of lower limit and upper limit of modal class is Warranty period(years)0−11−22−33−44−55−6Number of components61016251620 ___

Answer»

The sum of lower limit and upper limit of modal class is

Warranty period(years)011223344556Number of components61016251620


___
11.

The equation of a straight line whose y intercept is 3 and inclined at an angle of 45∘ to the x-axis is

Answer»

The equation of a straight line whose y intercept is 3 and inclined at an angle of 45 to the x-axis is


12.

Total surface area of a cuboid whose length, breadth and height is 5 cm, 4 cm and 3 cm, respectively, is .

Answer»

Total surface area of a cuboid whose length, breadth and height is 5 cm, 4 cm and 3 cm, respectively, is .

13.

In figure, O is the centre of the circle and BCD is tangent to it at C. Prove that ∠BAC+∠ACD=90∘

Answer» In figure, O is the centre of the circle and BCD is tangent to it at C. Prove that BAC+ACD=90
14.

If a=2√2,b=6,A=450,then

Answer»

If a=22,b=6,A=450,then


15.

Construct tangents from an external point to a circle.

Answer»

Construct tangents from an external point to a circle.

16.

Question 1(i) Check whether the following are quadratic equations: (i)(x+1)2=2(x−3)

Answer»

Question 1(i)
Check whether the following are quadratic equations:
(i)(x+1)2=2(x3)

17.

If p,q are the roots of a quadratic equation ax2+bx+c, then what is value of (a)×(p)×(q)

Answer»

If p,q are the roots of a quadratic equation ax2+bx+c, then what is value of (a)×(p)×(q)


18.

Construct a triangle ABC, with AB=5.6 cm, AC=BC=9.2 cm. Find the points equidistant from AB and AC; and also 2 cm from BC. Measure the distance between the two points obtained.

Answer»

Construct a triangle ABC, with AB=5.6 cm, AC=BC=9.2 cm.

Find the points equidistant from AB and AC; and also 2 cm from BC.

Measure the distance between the two points obtained.

19.

If A(-3,5) ,B (-2,-7) ,C(1,-8) and D(6,3) are the vertices of a quadrilateral ABCD find its area.

Answer»

If A(-3,5) ,B (-2,-7) ,C(1,-8) and D(6,3) are the vertices of a quadrilateral ABCD find its area.

20.

How many tangents can be drawn at any point on the circle?

Answer»

How many tangents can be drawn at any point on the circle?


21.

If the sum of the squares of two consecutive even numbers is 244, what is the sum of the numbers?22

Answer» If the sum of the squares of two consecutive even numbers is 244, what is the sum of the numbers?
  1. 22
22.

Prove that the lengths of tangents drawn from an external point to a circle are equal. Using the above, prove the following: A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC

Answer»

Prove that the lengths of tangents drawn from an external point to a circle are equal. Using the above, prove the following:

A quadrilateral ABCD is drawn to circumscribe a circle. Prove that AB + CD = AD + BC

23.

Using Euclid's division lemma, find the HCF of 1848, 3058 and 1331.

Answer»

Using Euclid's division lemma, find the HCF of 1848, 3058 and 1331.


24.

AB is the diameter and AC is a chord of a circle with centre O such that angle \(BAC=30^\circ\0. The tangent to the circle at C intersects AB produced in D. Then,

Answer»

AB is the diameter and AC is a chord of a circle with centre O such that angle \(BAC=30^\circ\0. The tangent to the circle at C intersects AB produced in D. Then,


25.

Condition for (a2−9)x2+bx+c=0 to be a quadratic equation is

Answer»

Condition for (a29)x2+bx+c=0 to be a quadratic equation is


26.

Solve for x and y: ax−by=a2+b2, x+y=2a

Answer»

Solve for x and y:
axby=a2+b2, x+y=2a

27.

A tent is made in the form of a frustum of a cone surmounted by another cone. The diameters of the base and the top of the frustum are 20 m and 6 m respectively, and the height is 24 m. If the height of the tent is 28 m and the radius of the conical part is equal to the radius of the top of the frustum, find the quantity of canvas required. [Take π=22/7.]

Answer»

A tent is made in the form of a frustum of a cone surmounted by another cone. The diameters of the base and the top of the frustum are 20 m and 6 m respectively, and the height is 24 m. If the height of the tent is 28 m and the radius of the conical part is equal to the radius of the top of the frustum, find the quantity of canvas required. [Take π=22/7.]

28.

The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 64. the common difference of the AP is (a) 4 (b) 5 (c) 3 (d) 2

Answer»

The 5th term of an AP is 20 and the sum of its 7th and 11th terms is 64. the common difference of the AP is
(a) 4 (b) 5 (c) 3 (d) 2

29.

In the given figure, O is the centre of the bigger circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find the area of the shaded region.

Answer»

In the given figure, O is the centre of the bigger circle, and AC is its diameter. Another circle with AB as diameter is drawn. If AC = 54 cm and BC = 10 cm, find the area of the shaded region.

30.

Match the following if ABC is a right angled triangle at B and D is the foot of perpendicular from B to AC.

Answer»

Match the following if ABC is a right angled triangle at B and D is the foot of perpendicular from B to AC.

31.

The price of a washing machine, inclusive of sales tax is Rs 13,530. If the sales tax is 10% find its basic price. [3 MARKS]

Answer»

The price of a washing machine, inclusive of sales tax is Rs 13,530. If the sales tax is 10% find its basic price. [3 MARKS]

32.

Question 134 The volume of the earth is approximately 7.67×10−7 times the volume of the Sun. Express this figure in usual form.

Answer»

Question 134

The volume of the earth is approximately 7.67×107 times the volume of the Sun. Express this figure in usual form.

33.

ABCD is a Parallelogram is which P and Q are mid-points of apposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, show that (i) APCQ is a Parallelogram (ii) DPBQ is a parallelogram (iii) PSQR is a parallelogram [3 MARKS]

Answer»

ABCD is a Parallelogram is which P and Q are mid-points of apposite sides AB and CD. If AQ intersects DP at S and BQ intersects CP at R, show that
(i) APCQ is a Parallelogram
(ii) DPBQ is a parallelogram
(iii) PSQR is a parallelogram
[3 MARKS]

34.

Question 8 If ΔABC∼ΔPQR, and BCQR=13, then ar(ΔPRQ)ar(ΔBCA) is equal to (A) 9 (B) 3 (C) 13 (D) 19

Answer» Question 8
If ΔABCΔPQR, and BCQR=13, then ar(ΔPRQ)ar(ΔBCA) is equal to

(A) 9
(B) 3
(C) 13
(D) 19
35.

Rohit has a recurring deposit account in State Bank of India. He deposits ₹ 2500 per month for a time period of 2 years. At the time of maturity he receives ₹ 66250. What is the interest paid by the bank? Also, calculate the rate of interest.

Answer»

Rohit has a recurring deposit account in State Bank of India. He deposits ₹ 2500 per month for a time period of 2 years. At the time of maturity he receives ₹ 66250. What is the interest paid by the bank? Also, calculate the rate of interest.


36.

For any positive integer n prove that n^3 - n is divisible by 6

Answer»

For any positive integer n prove that n^3 - n is divisible by 6

37.

(cotA−cosecA)2=1−cosA1+cosA

Answer»

(cotAcosecA)2=1cosA1+cosA

38.

Pankaj sold an article for Rs 5600 which cost him Rs x. He finds that he has gained x % on his outlay. Find x.

Answer»

Pankaj sold an article for Rs 5600 which cost him Rs x. He finds that he has gained x % on his outlay. Find x.


39.

IF P (E) deonotes the probability of an event E then (a) P(E) &lt; 0 (b) P(E) &gt; 1 (c) 0≤P(E)≤1 (d) −1≤P(E)≤1

Answer»

IF P (E) deonotes the probability of an event E then
(a) P(E) < 0 (b) P(E) > 1 (c) 0P(E)1 (d) 1P(E)1

40.

If R (x, y) is a point on the line segment joining the points P (a, b) and Q (b, a) then prove that x + y = a +b.

Answer»

If R (x, y) is a point on the line segment joining the points P (a, b) and Q (b, a) then prove that x + y = a +b.

41.

Four bells ring at interval 6, 12, 18, 24 seconds. They starts ringing simultaneously at 8 o’ clock. When will they ring again together:

Answer»

Four bells ring at interval 6, 12, 18, 24 seconds. They starts ringing simultaneously at 8 o’ clock. When will they ring again together:


42.

For the A.P.: -3,-7,-11,..., can we find a30−a20 without actually finding a30 and a20? Give reasons for your answer.

Answer»

For the A.P.: -3,-7,-11,..., can we find a30a20 without actually finding a30 and a20? Give reasons for your answer.

43.

A tower is 2-√3 high . Find the Angle of elevation of the top of tower from a point 10m away from foot.

Answer» A tower is 2-√3 high . Find the Angle of elevation of the top of tower from a point 10m away from foot.
44.

Find (1)8th term of 117,104,91,78.. (2)th term of 10,10.5,11,11.5..

Answer»

Find

(1)8th term of 117,104,91,78..

(2)th term of 10,10.5,11,11.5..

45.

The following data shows monthly savings of 100 families . The difference of modal and mean monthly savings lies between Monthly savings(Rs) Number of families 1000-2000142000-3000153000-4000214000-5000275000-600025

Answer»

The following data shows monthly savings of 100 families . The difference of modal and mean monthly savings lies between

Monthly savings(Rs) Number of families 1000-2000142000-3000153000-4000214000-5000275000-600025


46.

Write the value of cos 1° cos 2° cos ³° ...cos 179° cos 180°

Answer»

Write the value of cos 1° cos 2° cos ³° ...cos 179° cos 180°

47.

Two A.P.'s are given 9,7,5,.... and 24,21,18,... If nth term of both the progressions are equal then find the value of n and nth term?

Answer»

Two A.P.'s are given 9,7,5,.... and 24,21,18,... If nth term of both the progressions are equal then find the value of n and nth term?

48.

Evaluate:1) Sin135cos145+cos135sin145

Answer»

Evaluate:1) Sin135cos145+cos135sin145

49.

What is the smallest number that, when divided by 35,56 and 91 leaves remainder of 7 in each case

Answer»

What is the smallest number that, when divided by 35,56 and 91 leaves remainder of 7 in each case

50.

write the zeroes of the polynomial x2-x-6

Answer»

write the zeroes of the polynomial x2-x-6