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.
| 63851. |
In fig. QT 1 PR, ZTQR = 40° and ZSPR = 30°,then the value of x will be :400(A) 30°(C) 50°(B) 40°(D) 90° |
|
Answer» x + y × 12 + a^ a+25 |
|
| 63852. |
4. An angle is one-fifth of its supplement. The measure of the angle is(a) 30°(b) 15o(c) 75°(d) 150° |
| Answer» | |
| 63853. |
Line AB line CD | line EF and line QP1is their transversal. If y:z 3:7 then findthe measure of Zx. (See figure 2.25.)Fig. 2.25 |
|
Answer» let the ratio be kso angle y and z are 3k and 7k respectivelythereforey+z = 180°10k = 180°k = 18°angle y = 54°z = 126°x = 126° |
|
| 63854. |
In figure 2.9, line AB || line CD andline PQ is transversal. Measure of oneof the angles is given.Hence find the measures of thefollowing angles.105(i) [ART (ii) <CTQ(ii) ZDTQ (iv) ZPRBFig. 2.9Let's learn. |
| Answer» | |
| 63855. |
7 : ”T LX=0 i |
| Answer» | |
| 63856. |
(ii) (Z—lx - 1) (ठ X + 1) |
|
Answer» (a+b)(a-b)a^2-b^21/4 (x^2-4) (1x/2 -1)(1x/2 +1) = x^2/4 - 1=0; x^2 = 1+4= 5; x^2 = 5 ;; x = V5 When base same then power will be added. x-1+x+1.2x+1-1x=2. ower will be added.x-1+x+1 x²/4-1 is the right answer |
|
| 63857. |
Solvelx + 1|> 4, χ E R. |
| Answer» | |
| 63858. |
(9/-45% + 7 lx-40)รท (3x-8) |
| Answer» | |
| 63859. |
2.LxEvaluate wsix, Incit of surdIxFixitesepies |
| Answer» | |
| 63860. |
Prove that cos 2 x + cos-lx+|cos21-1= |
|
Answer» Using this, cos²x = {1 + cos(2x)}/2cos²(x + π/3) = {1 + cos(2x + 2π/3)}/2 and cos²(x - π/3) = {1 + cos(2x - 2π/3)}/2 ii) Hence, left side of the given one is: = {1 + cos(2x)}/2 + {1 + cos(2x + 2π/3)}/2 + {1 + cos(2x - 2π/3)}/2 = (3/2) + (1/2)[cos(2x) + cos(2x + 2π/3) + cos(2x - 2π/3)] = (3/2) + (1/2)[cos(2x) + 2cos(2x)*cos(2π/3)][Since cos(A+B) + cos(A-B) = 2cosA*cosB] = (3/2) + (1/2)[cos(2x) - cos(2x)] [Since cos(2π/3) = -1/2] = 3/2 = Right side HENCE PROVED |
|
| 63861. |
30. In the given figure. PQRS is a square and SRT is anequilateral triangle. Prove that:(i) LPST = <QRT(ii) PT=QT(iii) <QTR = 15° |
|
Answer» Thnx but other questions answers |
|
| 63862. |
(g) 8(p -)3-12(p-)(h) (lx-my)+ (mx + y) |
|
Answer» where is d,g,and h d g h is where |
|
| 63863. |
In Fig. 12.23, PQRS is a square and SRT is an equilateral triangle. Prove that(i) PT=QT(ii) \angle T Q R=15^{\circ} |
| Answer» | |
| 63864. |
8.lf ι,β are the roots of the equation T+ pt +qu0Finde'-F |
| Answer» | |
| 63865. |
In the figure, PT | QR and QT | RS. Show that arfAPQR)arQ1S) |
|
Answer» Given that:PT || QR and QT || RSTo Prove:ar(ΔPQR)=ar(ΔQTS)Proof:Since triangle PQR and TQR are on the same base QR and between the parallels PT and QR. Therefore,ar(ΔPQR)=ar(ΔTQR).....(1)Similarly, triangle QTS and TQR are on the same base QT and between the parallels QT and RS. So,ar(ΔQTS)=ar(ΔTQR).....(2)From (1) and (2), we have,ar(ΔPQR)=ar(ΔQTS)Hence Proved. |
|
| 63866. |
In the figure, line AB || line CD and line PQis tranversal. Ray PT and ray QT are bisectosof <BPQ and ,<PQD respectively. Findmeasure of <PTQ |
| Answer» | |
| 63867. |
1.85936757NEw SwinFind the sumExercitExercit12.312UnitExercEuro(e)5. Add the following tractions:(a) Two-sevenths and four-seve(c) One-ninth and three-ninths |
|
Answer» sum 2/5+ 3/5= 5/5= 1 2/5+3/5=5/5=1 answer. a) 2/5 + 3/5 = 5/5=1;. 1/9 + 4/9 + 3/9 = 2+4+3/9=. 9/9=1 |
|
| 63868. |
s o we wreut unswer euro)- A can do a piece of work in 8 hours while B alone can do it in 12 hours. BothA and B working together can finish the work in: |
|
Answer» A can do 1/8 of the work in one day.B can do 1/12 of the work in one day.A and B together can do=1/8+1/12= 5/24 A and B together can do the work in 24/5=4.8hours. |
|
| 63869. |
2 IXL R RS 1SU2 ० को,Sk L3 lbb kb 1w (0%8)it |
|
Answer» इसका मान 0 होगाBxC एक सदिश देगा जो इन तीनों के लंबवत होगाअतः 90 डिग्री का कोण निर्मित करेगा |
|
| 63870. |
(B) Solve the following questions : (Any 1W)(1) Find the value of the determinant |
| Answer» | |
| 63871. |
The nut of a machine has a octagonal surface as shown below34 cmremU 5 cm TFind the area of the octagonal nut. |
| Answer» | |
| 63872. |
TULIVCly.7. Find the least number which when divided by tos number which when divided by 16. 36 and 40 leaves 5 as remainder ineach case.111 |
|
Answer» 11935 is the correct answer |
|
| 63873. |
Yield of soyabean per acre in quintal in Mukund's field for g yearsas 10, 7, 5, 3, 9, 6, 9, Find the mean of yieldper |
|
Answer» Mean = Summation of yield/ summation of acres= (10+7+5+3+9+6+9)/7= 49/7= 7. Please hit the like button if this helped you out |
|
| 63874. |
findthe square rootof without actual multiplicative the |
| Answer» | |
| 63875. |
8. Find the largest number which divides 2053 and 967 and leaves a remainder of 5 and 7respectivelsy. |
| Answer» | |
| 63876. |
Find the least number which when divided by 16, 36 and 40 leaves 5 as remainder ineach case. |
|
Answer» On subtracting 5 from each number:16 − 5 = 1136 − 5 = 3140 − 5 = 35The required number will be the least common multiple of 11, 31 and 35.L.C.M. of 11, 31 and 35 = 11×31×35 = 11935This is because they do not have any factor in common.So, 11935 is the required number. |
|
| 63877. |
Thinking CornerFor any two integers a (a 0)and b, a divides b ifb ax, for some integer a. |
| Answer» | |
| 63878. |
I.Without actualrepresentation:364 |
|
Answer» this will have a terminating decimal expansion and it will have 6 digits after the decimal point because out of 2 and 5,2 has the highest power which is equal to 6 |
|
| 63879. |
निम्नलिखित में से प्रत्येक को अनुपात -a) 2 ग्राम और 10 ग्राम८) 60 पैसे और * 2 60:260=) 1 वर्ष और 5 महीने 12:5/नुपात को साधारण रूप में लिखिए- |
|
Answer» 2gram and 10 gram ratio A.= 2:10=2/10=1/2 =1:2B=60:200=60/200=3/10=3:10C=12:3=12/3=4/1=4:1 |
|
| 63880. |
vey PD-UPCOLLUS4. Find the greatest number which divides 260, 1314 and 1331 and leaves remainder 5 ineach case. |
| Answer» | |
| 63881. |
Name the pigment present in green leaves of a plant. |
| Answer» | |
| 63882. |
411 2x-5If, then x is equal to:4x-12x-54(a) 4(c) 4/3(b) 0(d) 2 |
| Answer» | |
| 63883. |
36.25. ThecoordinatesofthecentroidofA ABC with vertices A (3, 4). B (4. 5) aC (5, 0) areA. (5, 6) B. (3. 4)C. (4. 3)D. (6, 9)26. If tan2 |
|
Answer» coordinate of a centroid is ((3+4+5)/3 , (4+5+0)/3 ) = (12/3 , 9/3 ) = (4 , 3) |
|
| 63884. |
ALGEBRAIC PROPERTIES OCOMPLEX NUMBERSIf 2i =1+ ai then a=14 23 324)If z = 2-i13 then z4 - 4z² +8z +351)6 20 314xyalih then -+-=If" |
|
Answer» 1 and is a=3since i=-1sustitute the value of i in the given equation u will get a.which is =3 Squaring both sides2i=1-a^2+2aicomparing2i=2aia=1 |
|
| 63885. |
3.Points P, Q, R, and S in that order are dividing a line segment joining A (2, 6) and B (7, -4) in fiveequal parts. Find the coordinates of point P and R ? |
| Answer» | |
| 63886. |
3. Points P, Q, R, and S in that order are dividing a line segment joining A (2, 6) and B (7, -4) in fiveequal parts. Find the coordinates of point P and R? |
| Answer» | |
| 63887. |
Example-16: Find the polar representation of z = 2 + 2i |
| Answer» | |
| 63888. |
Find the area of the triangle whose sides are 120cm, 150 cm and 200 cm. |
| Answer» | |
| 63889. |
. Due to sudden floods, some welfare "associations jointly requestedsgovenment to get 100 tents fixed immediately and offered to contrbe Sof the cost. If (he lower part of each tent is of the form of a cylinder of da42 m and height 4 m with the conical upper part of same diameter buheight 2.8 m, and the canvas to-be used costs 100 per sq m, find the ou |
| Answer» | |
| 63890. |
3 A labourer earned 118.25 on the first day, 120.30 on the second de116.20 on the third day. What was his total income for all the three de1 98 |
|
Answer» total income =118.25+120.30+116.20=354.75 354.75 is your correct answer ₹354.75 is total income of three days 118.25+120.30+116.20=354.75 total income for three days will be 118.25+120.30+116.20=354.75 354.75 is the right answer 118.25+120.30+116.20=354.75 354.75 is right answer 118.25+120.30+116.20=354.75 118.25+120.30+116.20=354.75 is right answers for this question add all three 118.25+120.30+116.20=354.75 total for three days will be 118.25+120.30+116.20=354.75 is the right answer |
|
| 63891. |
A man can pack 260 bund5 days. How many bundles can be packed by him in 7 dayght for202 502s?les in |
|
Answer» thanks |
|
| 63892. |
1. Write the imaginary part of 5 - i20.(a)0,(b) 4.(c)-4.(d) 1. |
|
Answer» =5-[(i)^4]^5=5-[1]^5=5-1=4 4 is the correct answer |
|
| 63893. |
3. Find the number of permutations of n dissimilar things taken r at a time. |
|
Answer» you have 6 numbered balls - from 1 to 6. You need to select 3 balls such that ball that is numbered '4' is always selected. Additionally, you need to arrange them in bags A B and C. In essence you are selecting 2 balls from the remaining 5 balls and subsequently, arranging the 3 balls in bags A B and C.Cases:1.) you can place the ball#4 in A , and arrange the remaining 2 balls in B and C - in 5P2 ways OR2.) you can place the ball#4 in B , and arrange the remaining 2 balls in A and C - in 5P2 ways OR3.) you can place the ball#4 in C , and arrange the remaining 2 balls in B and A - in 5P2 ways so the total cases are 3 x 5P2 i.e. r x (n-1)P(r-1) In short, select 2 balls out of remaining 5 in 5C2 ways and arrange the 3 balls in 3! ways. Hence, 3! x 5C2 = 3 x 5P2 = r x(n-1)P(r-1) |
|
| 63894. |
4. Compute real and imaginary parts of Z2i-3 |
| Answer» | |
| 63895. |
nd the length and perimeter of a rectangle,e area 120 cm and breadth 8 cm.Fi |
|
Answer» Area=lxbhence length =area/breadth=120/8=15cmHence perimeter=2(l+b)=2(15+8)=2(23)=46cm |
|
| 63896. |
willX. A petrol pump had 98,000 l of petrol. 5,655 l of petrol wassold on the first day, 15,666 l on the second day and38,565 l on the third day. How much petrol was leftafter the third day? |
|
Answer» after to the third 38114 L patrol left in the petrol pump subtracting on your questions value of first day and value in second day 98000 - (5655+15666+38565) 98000 - 5988638114L After the third day,petrol left is98000-(5655+15666+38565)=98000-59886=38114l |
|
| 63897. |
rcentage of increase or decrease:Price of shirt decreased from 280 to 210.Marks in a test increased from 20 to 30.Find Pe |
|
Answer» 1st . 25percent decrease 2nd. 50 percent increase |
|
| 63898. |
Raia took part in a car rally along with 727 other people. On the first day,he covered 485 km, the second day 398 km, and the third day 502 km. Howmuch distance did he cover in all?L1 |
|
Answer» the distance covered by the people 1. 398 kilometres Raja covered distance on first day-485 kmsecond day he covered-398 kmthird day he covered-502 kmtotal distance he covered-485+398+502=1385 km |
|
| 63899. |
There were 65 passengers in a bus. The bus had only 58 seats. Kartik was alsositting on a seat. He noticed that an old lady was looking for a seat, but therewere no vacant seats. Kartik immediately offered his seat to the old lady.(a) How many passengers were standing in the bus?(b) By offering his seat to the old lady, which value did Kartik depict? |
|
Answer» A.ans=People that travelstandingup inbuses aresusceptible of suffering falls and injuries, particularly elderly people. Safety measures, however, mostly target seatedpassengers. People that travelstandingup inbuses aresusceptible of suffering falls and injuries, particularly elderly people. a)7 passengers were standing in the bus.b)the value he depicted that he respect elders |
|
| 63900. |
hat is the real part of (sin x + 1 cos x)ă,, where 12 |
| Answer» | |