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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. |
In Fig.6.17, POQis aline. Ray OR is perpendicularto line PQ.Os is another ray lying between raysOP and OR. Prove that,アS"< ROS =-(< QOS-L POS). |
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| 2. |
6.17,POQis aline. Ray OR is perpendicularto line PQ. OS is another ray lying between raysOP and OR: Prove thatLROS (4QOS-Z POS). |
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| 3. |
5. Nima uses cup peanuts, ÄŻ cupcashews, cup pecans, and someraisins in a recipe that makes 2 cups oftrail mix. How many cups of peanuts arethere per cup of trail mix? |
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Answer» It is 2/3÷9/4=2/3*4/9=8/27 2/3 ÷ 9/4= 2/3 × 4/9= 8/27 |
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| 4. |
atirthreepoints(h, 0),(a, b)and(0, k)lieon aline,showthat a÷1A3. If three points (h, 0), (a, b) and (0, k) lie on a line, show that+--1 |
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| 5. |
In Fig.9.27,ABCDE is a pentagon. Aline throughs parallel to AC meets DC produced at F. ShowthatDOar(ACB)ar (ACF)i) ar(AEDF) ar |
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| 6. |
Ritu has 1/4 of a sack of rice. She divides therice equally into 7 bags What fraction of thefull sack of rice is in each bag? |
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Answer» total 1/4 of a sack of rice now divided in 7 bagsso each bag have 1/4*7=1/28 of a sack of rice. |
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| 7. |
Ritu hasof a sack of rice. She divides the4rice equally into 7 bags. What fraction of thefull sack of rice is in each bag?A.B.28D.28 |
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| 8. |
Imagine, In 24 hours you spend 1 hour on playing . Then, what will be the fraction of 1 hours per 24 hours? |
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Answer» 1/24 |
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| 9. |
Sara baked cakes for the school festival. The cost of one cake was 55?11 on each cake. Find the selling price of tesold 25 cakes and made a profit ofcakes and the profit percent |
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Answer» very thanks anna |
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| 10. |
On selling tea at Rs 180 per kg a shopkeeper looses 10% Find the quality of te sold if the total incurred is Rs 100 |
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| 11. |
EXERCISE 8.3t or loss in the following transactions Also findTeloss per cent in each case.ardening shears bought for?250 and sold for t 325efrigerater bought for ? 12,000 and sold at? 13,500.(b) Aboard bought for ? 2,500 and sold at?3,000A skirt bought for ? 250 and sold at 150.(d)Convert each part of the ratio to percentage |
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| 12. |
3648Reduceto its simplest form |
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| 13. |
36 - \{ 48 \div ( 16 - 4 \times 2 ) |
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Answer» 36-{48÷(16-4×2)}36-{48÷ 8}30 |
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| 14. |
x2-3x = 52-x) |
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Answer» conti.... |
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| 15. |
Two rails are represented by the equationsx + 2y = 4each other? Explain on solving equationand 2x + 4y = 12, Will the rails cross |
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Answer» x+2y = 42x+4y = 12 Multiplying equation 1 by 2 2x+4y = 82x+4y = 12 So the equations are indeterminate. Like my answer if you find it useful! |
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| 16. |
2 Calculate the largest area of the rectangle with a perimeter of 3cm. |
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Answer» Maximum possible area of a rectangle is area of square. Therefore, 4 x = 32 cm x = 8 cm Area = x² (8)² =64 cm² Hence maximum possible area = 64 cm² thankyou |
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| 17. |
Show that of all rectangles of given perimeter, the square has the largest area. |
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| 18. |
26*(-48) %2B (-36)*(-48) |
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Answer» _48(26_36)=_48×_10=480 26 * (-48) + (-48) * (-36) = (-48)*[26 + (-36)] = (-48)*(-10) = 480 the correct answer is 480 |
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| 19. |
¡90048 119648.22(A) 15 |
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| 20. |
26 \times ( - 48 ) + ( - 48 ) \times ( - 36 ) |
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Answer» 26 × (-48) + (-48) × (-36)(-48) [ 26 -36]-48 [ -10]480 |
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| 21. |
26 \times(-48)+(-48) \times(-36) |
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| 22. |
1)52 x 52-48 x 48? |
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| 23. |
(a) Two line segments are congruent if |
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Answer» Two line segments are congruent if they have the same length and not parallel. |
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| 24. |
a)Two line segments are congruent if |
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Answer» two line segment are congurent if they have same length tq |
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| 25. |
If two line segments AC and BD bisect each other at P,prove that ABCD is a parallelogram. |
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Answer» The figure shown below represents a quadrilateral ABCD in which diagonals AC and BD bisect each other at P. |
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| 26. |
Two circles intersect at two points B andThrough B, two line segments ABD and PBQare drawn to intersect the circles at A, D and PQ respectively (see Fig. 10.40). Prove that |
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| 27. |
mplete the following statements:(a)(b) Among two congruent angles, one has a measure of 70Two line segments are congruent ifthe other angle is(c) When we write ZA B, we actually mean |
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| 28. |
9. Two circles intersect at two points B and C.Through B, two line segments ABD and PBQare drawn to intersect the circles at A, D and PQ respectively (see Fig. 10.40). Prove that A |
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| 29. |
iii)x+y=482 |
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| 30. |
/ A7m wide path is constructed outside along the four sides of a field of 93 m x 79 m. What is the asof the path?A rectangular lawn of 40 m Ă 25 m is to be surrounded externally by a path of 2 m with C |
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Answer» Area of field = length * breadthAf = 93*79 = 7347 m^2 Area of field including outer path Ao = (93+14)*(79+14) = 107*93 = 9951 m^2 Area of path = 9951 - 7347= 2604 m^2 |
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| 31. |
23.7 + 73 +75 + ....... +795 is divisible by1) 48 2) 473) 434) |
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Answer» The correct answer to this question is option A 48 because the expansion of (49^n)-1 has 48 as one of it's factor. |
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| 32. |
Find the sum of A.P 2, 7, 12to 10 term. |
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Answer» Solution of this sum is twenty one ( 21 ) a = 2, d= 5; S10= n/2(2a + ( n-1)d) S10= 10/2(2(2)+(10-1)5); = 5 (4+9(5)); = 5 (4 + 45)=5(49)=20+45 = = 245 a=2d=7-2=5s10=n/2{2a+(n-1)d} =10/2(2*2+9*5) =5(4+45) =5*49 =245 245 is the correct answer of the given question a=2, d=5s10=n/2(2a+(n-1)d)s10=10/2(4+45)5=49=245 |
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| 33. |
termofalAPWIOSfT7. Find the 31st28. AnAP consists of 50 terms of which 3rd term is 12 and the last term is 106. Fingterm. |
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Answer» Ans :- Let a , d are first term and common difference of an A.P nth term = Last term = a + ( n - 1 )d an = a + ( n - 1 )d Now , It is given that , Third term = 12 a + 2d = 12 ------( 1 ) Last term = 106 a + 49d = 106 ---( 2 ) Subtract ( 1 ) from ( 2 ) , we get 47d = 94 d = 2 Substitute d value in equation ( 1 ) , We get a + 2 × 2 = 12 a = 12 - 4 a = 8 29th term = a + 28d a29 = 8 + 28 × 2 = 8 + 56 = 64 |
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| 34. |
The 10th term of A.P. 2, 7, 12....is- |
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Answer» a=2d=7-2=5tn=a+(n-1)dt10=2+(10-1)5=2+9(5)=2+45=47 |
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| 35. |
If A==\left[ \begin{array}{ccc}{3} & {2} & {1} \\ {-2} & {0} & {-2} \\ {-1} & {x} & {0}\end{array}\right]is a skew-symmetric matrix, find the value of x |
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| 36. |
12. The mean weight of a class of 20 students is 48 kg. Two more students weighing 60 kg and 58 kgrespectively join the class. What is the mean weight of the class now?Dighn rogurod R6 73 75 and 78 marks in four tests, What is the least number of marks she can secure in |
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Answer» Like if you find it useful |
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| 37. |
Given thatal is irrational, prove that (5 32) is an irrational number |
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Answer» Given that,√2 is irrational To prove:5 + 3√2 is irrational Assumption:Let us assume 5 + 3√2 is rational. Proof:As 5 + 3√2 is rational. (Assumed) They must be in the form of p/q where q≠0, and p & q are co prime. Then,⇒ 5+3√2 = p/q⇒3√2 = p/q - 5⇒√2 = (p-5q)/3q We know that,√2 is irrational (given) (p - 5q)/3q = rational And, Rational≠ Irrational. Therefore we contradict the statement that, 5+3√2 is rational. Hence proved that 5 + 3√2 is irrational. |
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| 38. |
prove √5 is irrational number r |
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| 39. |
Prove that 5 is irrational number. |
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| 40. |
prove that √5 is irrational number |
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Answer» we can write (C) as 5c |
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| 41. |
rite the general form of a 3 × 3 skew-symmetric matrix and prove that its determinant is 0. |
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| 42. |
16) Write the general form of an A.P. |
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Answer» The progression -3, 0, 3, 6, 9 is anArithmetic Progression(AP) with 3 as the common difference. Thegeneral formof anArithmetic Progressionis a, a + d, a + 2d, a + 3d and so on. Thus nth term of anAPseries is Tn= a + (n - 1) d, where Tn= nthterm and a = first term. the general form of an AP isT(n)=a+(n-1)dwherea=first termd=common differencen=number of terms Thegeneral formof an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of anAPseries is Tn= a + (n - 1) d, where Tn= nthterm and a = first term. ... The sum of n terms is also equal to theformulawhere l is the last term. |
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| 43. |
a=23 d=-2 12 term and general form |
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Answer» 1 is correct answer. |
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| 44. |
1 What will be the general form of any point on the y-axis? |
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Answer» Any point on y-axis is (0, y). |
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| 45. |
Phrte the general formof a 3 x 3 skew-symmetric matrix and prove that its determinant is 0. |
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Answer» thanks |
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| 46. |
Given that /2 is irrational. prove that (5+3/2) is an irrational number. |
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| 47. |
Find the sum of the measures of the interior angles of the indicated convex polygon.the sum of the measures of the Interior angles of the Indicated convex4. hexagon _________5. 17-gon _________ |
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Answer» Ans :- 4 - the sum of all the angles is 720 degrees (from above). And there are six anglesSo, the measure of the interior angle of a regular hexagon is 120 degrees. 5 - Sum of Interior Angles: 180(n-2) "n" being the no. of sides Step 1: 180(17-2) <--- Plug in the equationStep 2: 180(15) <--- ParenthesisStep 3: 2700 <---Multiplication 17 Heptdecagon |
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| 48. |
Find the missing length indicated. |
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Answer» Assuming DE|| BC , so by basic proportional theroemAD/BD = AE/EC3/2 = 6/ECEC = (6×2)/3 = 4 EC = 4 thanks😀 |
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| 49. |
find indicated percentage 2% of 36 |
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Answer» 2% of 36=2×36/100=72/100=0.72 |
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| 50. |
incre(vi) 102713. Write five numbers for which you cannot decide whether they urWrite five numbers which you cannot decide whether they are square justat the unit's digit.folco (F) for the following statements.Thisnusto |
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