InterviewSolution
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.
| 651. |
The length of 40 leaves of a plant are measured correct to one millimetre, and theobtained data is represented in the following table:4.Length (in mm)118-126127- 135136-144145- 153154-162163-171172-180Number of leaves1242Draw a histogram to represent the given data. Hint: First make the class intervacontinuous](ii) Is there any other suitable graphical representation for the same data?(ii) Is it correct to conclude that the maximum number of leaves are 153 mm lonWhy? |
| Answer» | |
| 652. |
1. The speed of a boat in still water is 5m/s. What is its speed in km/h?(a) 15 km/h(b) 28 km/h(c) 18 km/h(d) 38 km/h |
|
Answer» hey vandana I think b is right answer 18 km/h is its speedinkm/h was the answer 18km per hour is speed km per hour is answer |
|
| 653. |
unceptQUESTIONSA tank is 7 m long and 4 m wide. At what speed should water run through a pipe 5 cmbroad and 4 cm deep, so that in 6 h and 18 min, water level in the tank rises by(a) 12 km/h(b) 10 km/h(c) 14 km/h(d) 18 km/h |
|
Answer» Ans: option(b) 10 km/hr Volume of the water required for rising the water level by 4.5 metre= 7 × 4 × 4.5 = 126 m3 Time in which the tank needs to be filled = 6 hours and 18 minutes =6+18/60hr =6+3/10hr =63/10hr Therefore, amount of water that needs to be supplied by the pipe in 1 hr126(63/10)=126×10/63=20m3/hr Area of the pipe = 5×4 = 20 cm2 = 0.002 m2 Required speed of the water = 20/0.002 = 10000 m/hr = 10 km/hr thank you |
|
| 654. |
A motor boat whose speed is 18 km/h in still watertake 1 hour more to go 24 km upstream than toreturn downstream to the same spot. Then thespeed of the stream is(A) 8 km/h(C) 23 km/th(B) 24 km/h(D) 6 km/h |
|
Answer» thanks |
|
| 655. |
A man rows a boat 18 km in 4 hdownstream and return upstreamin 12 h. The speed of the stream*(in km per hour) is(a) 1(b) 1.5(c)2(d) 1.75 |
|
Answer» it is similar questions like your I hope it helps you The speed of the stream is 1.5km per hour |
|
| 656. |
What sum invested for 1.5 years compounded half-yearly at the rate of 4% pa. willamount to 132651? |
| Answer» | |
| 657. |
/ Ime arca onsuA rectangular piece of plastic sheet measures I mby 70 cm. Find its cost at the rate of R80 per square70,cm. Find its cost at the rate ofmetre |
|
Answer» 70cm =0.7 mthen area =lb=1(0.7)=0.7sqm cost =₹80(0.7) |
|
| 658. |
A rice godown owner purchased 16,780 quintals of rice at the rate of P 525 perown owner puals of rice at the rate ofquintal. What was the total price of the rice purchased?e at the rate of 525 per |
|
Answer» 525×16780 rupees is the total price of rice purchased 1 quital rice=rs 52516780 quintal rice=525*16780= rs 8809500 8809500 is the current answer for this question 1 quital rice =rs 52516780 quital rice 525*16780=rs 8809500 the total price of the rice is Rs 8809500 8809500. |
|
| 659. |
: At a fixed rate of simple interest, a fixed amount will be twice in 7years. Then in howmany years wille same amount will be 5times at the same rate of interest? |
| Answer» | |
| 660. |
DATEPADATE |, of the Poterest on 1700 rupeesis 340 rupees for 2 years thee rate of interest must be -12%.كل |
|
Answer» let the rate be r Interest= PxRxT/100340= 1700x r x 2/100340= 34rr=340/34r= 10% formula interest=PXRXT/100; 340=1700×R×2/100= 340=34r; r=340/34=10°\° formula interest=P×R×T/100;340=1700×R×2/100=R=340/34=10°\° |
|
| 661. |
and streamsAt his usual rate,6 hours less than it takes hing rate, Rahul can travel 12 cailes ats tsual rowing rate for his 24rmile round trig,the dornatr 1ihim to travelhe same distanewould then take only oneof the current in miles per hour?upstour less than th urdtse upstream 12 miles. What is the spee(b)C2(a) 13 |
|
Answer» Option (D) is correct. |
|
| 662. |
9x3 Sum ofpth, qh, rth terms of an arithmetic progression are a, b, c respectively, thenprove that (g-(pg)-0 |
| Answer» | |
| 663. |
Q29. If pth, qth and rth terms of an А.Р. are(a - br (b- op + (c- a)4 0.a, b,c respectively, thenshow that |
|
Answer» Let a = first term of the AP.andLet d = common difference of the AP Nowa = A+(p-1).d.......(1)b = A+(q-1).d.......(2)c = A+(r-1).d........(3) Subtracting 2nd from 1st, 3rd from 2nd and 1st from 3rd we get a-b = (p-q).d......(4)b-c = (q-r).d........(5)c-a = (r-p).d.......(6) multiply 4,5,6 by c,a,b respectively we have c.(a-b) = c.(p-q).d......(4)a.(b-c) = a.(q-r).d........(5)b.(c-a) = b.(r-p).d.......(6) a(q-r).d+b(r-p).d+c(p-q).d = 0(a(q-r)+b(r-p)+c(p-q)).d = 0 Now since d is common difference it should be non zero Hencea(q-r)+b(r-p)+c(p-q)= 0 |
|
| 664. |
1-6. If the pih, qth & rth terms of an AP are in GP. Find the common ratio of the GP. [16JM110054] |
| Answer» | |
| 665. |
Q. 16 If pth, gth and rth terms of an AP and GP are both and c respectively,then show that ab-.bb1 |
| Answer» | |
| 666. |
24, If pth, gth and rth terms of an A.P. are a, b, c respectively, then show that:(a b)+ (b c)p + (c a) 050 +hon |
| Answer» | |
| 667. |
iThe pth, qth and rth terms of an A.P. are a, b, c respectively. Show that(a-b)rt(b-c) p + (c-a) q = 0. |
| Answer» | |
| 668. |
If a, b, c are all positive and are pth, qth and rth termslog a p 1show that llogb q 1-0log c r 1 |
| Answer» | |
| 669. |
96 If a, b, c are the pth, qth and rth terms of a G.P. respectively the value of at .bis(a) 0(b) 1(c) -1(d) |
|
Answer» If you like the solution, Please give it a 👍 |
|
| 670. |
Show that \left| \begin{array}{lll}{b+c} & {b c} & {b^{2} c^{2}} \\ {c+a} & {c a} & {c^{2} a^{2}} \\ {a+b} & {a b} & {a^{2} b^{2}}\end{array}\right|=0 |
| Answer» | |
| 671. |
OME A PPLICATIONS OF TRIGONOMETRY14. A1.2 m tall girl spots a balloon movingwith the wind in a horizontal line ataheight of 88.2 m from the ground. Theangle of elevation of the balloon fromthe eyes of the girl at any instant is60°. After some time, the angle of 60elevation reduces to 30° (see Fig. 9.13). 30Bind the distance travelled by the |
| Answer» | |
| 672. |
\left. \begin{array} { l } { \text { In a triangle ABC, } 2 \operatorname { ac } \operatorname { sin } \frac { ( A - B + C ) } { 2 } = } \\ { ( A ) a ^ { 2 } + b ^ { 2 } - c ^ { 2 } } & { ( B ) c ^ { 2 } - a ^ { 2 } - b ^ { 2 } } & { ( C ) b ^ { 2 } - c ^ { 2 } - a ^ { 2 } } & { ( D ) c ^ { 2 } + a ^ { 2 } - b ^ { 2 } } \end{array} \right. |
| Answer» | |
| 673. |
\left| \begin{array} { l l l } { 1 } & { a ^ { 2 } + b c } & { a ^ { 3 } } \\ { 1 } & { b ^ { 2 } + c a } & { b ^ { 3 } } \\ { 1 } & { c ^ { 2 } + a b } & { c ^ { 3 } } \end{array} \right| = ( a - b ) ( c - b ) ( c - a ) ( a ^ { 2 } + b ^ { 2 } + c ^ { 2 } ) |
| Answer» | |
| 674. |
ofseats?he length of 40 leaves of a plant are measured correct to one millinete, and theobtained data is represented in the following tableLength (in mm)118-126127-135136-144145- 153154- 162163-171172- 180Number of leaves12Draw a histogram to represent the givenda. Ilint First make the class intervalscontinuous)ωIs there any other suitable graphical representation for the same data?is it correct to conclude that the maximum number of leaves ane 153 mm long? |
| Answer» | |
| 675. |
Recall Activity 1.2 , where you have mixed the solutions of lead(II) nitrateand potassium iodide.(i) What was the colour of the precipitate formed? Can you name the compoundprecipitated?(ii) Write the balanced chemical equation for this reaction.(iii) Is this also a double displacement reaction?1.2,5 Oxidation and Reduction |
|
Answer» 1.When the solutions mix, theleadparticles andiodideparticles combine and create two new compounds, a yellow solid calledlead iodideand a white solid calledpotassium nitrate.2.Pb(NO3)2+2KI => PbI2 +2KNO33.Yes it is a double displacement reaction Like the solution if u find it useful |
|
| 676. |
4. The length of 40 leaves of a plant are measured correct to one millimetre, and theobtained data is represented in the following tableLength (in mm)118-126127-135136-144145-153154-162163-171172-180Number of leaves31242 Draw a histogram to represent the given data. [Hint: First make the class intervalscontinuous]) Is there any other suitable graphical representation for the same data?mi) Is it correct to conclude that the maximum number of leaves are 153 mm long?Why? |
| Answer» | |
| 677. |
llliůmlength of 40 leaves of a plant are measured correct to one millimetre, and thenumberof seats?The lned data is represented in the followring tbleobtained data iswngand theLength (in mm)118-126127-135136-144145-153154-162163-171172-180Number of leaves1240 Draw a histogram to represent the given data. [Hint: First make the class intervacontinuous](i) Is there any other suitable graphical representation for the same data?) Is it correct to conclude that the maximum number of leaves are 153 mm lonWhy?he life times of 400 neon lamps: |
| Answer» | |
| 678. |
Barty won the maximom number of seats?caves of a plant are measured correct to one millimetve, and diedata is represented in the following tableLength (in mm)Number of leaves118-126127-135136-144145-153154-162163-171172-18012Draw a histogram to represent the given data. (Hint: First make the class intervcontinuous)Is there any other suitable graphical representation for the same data?ls it correct to conclude that the maximum number of leaves are 153 mm lo |
| Answer» | |
| 679. |
inu liulnber of seats?: The length of 40 leaves of a plant are measured correct to one millimetre, and theobtained data is represented in the following table:Length (in mm)118-126127-135136-144145-153154-162163-171172-180Number of leaves12(i) Draw a histogram to represent the given data. [Hint: First make the class intervalscontinuous](i) Is there any other suitable graphical representation for the same data?(ii) Is it correct to conclude that the maximum number of leaves are 153 mm long |
| Answer» | |
| 680. |
Thelength of 40 leaves of a plant are measured correct to one millimetre, and theobtained data is represented in the following table:Length (in mm)118-126127-135136-144145-153154-162163-171172-180Number of leaves124(0)Draw a histogram to represent the given data. [Hint: First make the class intervalscontinuous](ii) Is there any other suitable graphical representation for the same data?(i) Is it correct to conclude that the maximum number of leaves are 153 mm long?Why?hla gives the life times of 400 neon lamps: |
| Answer» | |
| 681. |
1. औचित्य देते हुए, निम्नलिखित को परिमेय या अपरिमेय संख्याओं केरूप में वर्गीकृत कीजिए :[NCERT EXEMPLAR](i) /196(ii) 3/1819/343(iii) 127(iv) 128 |
|
Answer» (i) ans=14 is the square root of 196 i) 14ii)3×4√2iii)3/3√9 i) 14ii)3×3√2iii)1/√3 i) √196=14ii) 3√18= 3×3√2 _/196 is correct answer 1) √196= 142) 3√18= 3×3√23)√9/27 = 1/√3 the answer would be ii ans 1:4ans 2:3*3root2ans 3:3*3root6 the answer is 1. ✓ 197 i option is the correct answer 14 is your correct answer √196 = 14 is the correct answer ¡) 14¡¡) 3×4√2¡¡¡)3/3√9 Question no 1.Answer is (i) √196 ans=14 is the square root of 196 option A is a correct answer The correct ans is option d. (i) is the correctness answer 1) 142) 3×4✓23) 1/√9 14 is a sqare root of 196. a is the correct answer answer is 14 is t ans =14 is the square root of 196 |
|
| 682. |
6. How much time a train of length 350 m takesto cross the railway signal if it is moving ataspeed of 70 km/hr? |
| Answer» | |
| 683. |
9. A traveller travels half of his journey in a specific speed and the next half, a speed15 km/hr more than the first half. The average speed of the total journey is 36km/hrFind his speed in each half |
|
Answer» If V(average) = 36km/h Then initial speed, is V. Final Speed is, V+15. V(average) = 36 = (V + V + 15)/2 72 = 2V + 15 2V = 57 V = 28.5 km/h (initial speed) V + 15 = 43.5 km/h (final speed) |
|
| 684. |
के रत 12:19%, W x:y=?£ a\ |
|
Answer» If a : b = c : d then a, b , c ,d are in proportion. a × d = b × d or Product of extremes = product of means Now , ( 4x² - 3y²) : ( 2x² + 5y² ) = 12 : 19 ( 4x² - 3y² ) 19 = ( 2x² + 5y² )12 76x² - 57y² = 24x² + 60y² 76x² - 24x² = 60y² +57y² 52x² = 117y² x² / y² = 117 / 52 ( x/ y )² = ( 13 × 9 ) / ( 13 × 4 ) = 9 / 4 ( x / y )² = ( 3 / 2 )² Therefore , x / y = 3 / 2 x : y = 3 : 2 Like my answer if you find it useful! |
|
| 685. |
6markS)Show that any positive odd integer is of the form6q+1, 6q+3 or 6q+5, where q is some integer |
| Answer» | |
| 686. |
5. A boat covers 32 km upstream and 36 kmdownstream in 7 h. Also, it covers 40 kmupstream and 48 km downstream in 9 h.The speed of the boat in still water is(a) 2 km/h(b) 10 km/h(c) 12 km/h(d) of these |
| Answer» | |
| 687. |
A bus covers a certain distance in 3 hours 20 minutes at an average speed of 45 km/h. Howlong will it take to cover the same distance at a speed of 36 km/h? |
| Answer» | |
| 688. |
7. A bus covers a certain distance in 3 hours 20 minutes at an average speed of 45 km/h. Howlong will it take to cover the same distance at a speed of 36 km/h? |
| Answer» | |
| 689. |
XAMLE 14: Find the area of the shaded region given in the figure.14 cm寸NCERT EXEMPLA |
| Answer» | |
| 690. |
= coseca = R.H.S. \' cosect = = \sin 010. tan 0 + tan (90° — 6) न 5609: sec(90° — 6).{NCERT EXEMPLA |
| Answer» | |
| 691. |
principal - 4000Rate = 10%yearsTime(b) Principal + 2560Rate - 12Time - 1 year(a) P- 12000Rate = 61%Time = 1 yeaPrincipal = 4096Rate = 10%Time = 18 months127 |
| Answer» | |
| 692. |
6. The principal, at a certain rate of interest, doubles in 5 yearssimple interest. In how many years, the same principal with the samerate of interest becomes five times? |
| Answer» | |
| 693. |
3m or 3m + 1 for some integer m.how that the square of an odd positive integer can be of the form 6qinteger q1 or 6q 3 for sonNCERT Exempla |
|
Answer» Let a be any positive integer and b = 6. Then, by Euclids algorithm, a = 6q + rfor some integer q ≥ 0, and r = 0, 1, 2, 3, 4, 5 because 0 ≤ r Therefore, a = 6q or 6q + 1 or 6q + 2 or 6q + 3 or 6q + 4 or 6q + 5 Also, 6q + 1 = 2 × 3q + 1 = 2k1+ 1, where k1is a positive integer 6q + 3 = (6q + 2) + 1 = 2 (3q + 1) + 1 = 2k2+ 1, where k2is an integer 6q + 5 = (6q + 4) + 1 = 2 (3q + 2) + 1 = 2k3+ 1, where k3is an integer Clearly, 6q + 1, 6q + 3, 6q + 5 are of the form 2k + 1, where k is an integer. Therefore, 6q + 1, 6q + 3, 6q + 5 are not exactly divisible by 2. Hence, these expressions of numbers are odd numbers. And therefore, any odd integer can be expressed in the form 6q + 1, or 6q + 3, or 6q + 5. *From which book have you taken this question? Please tell us so that we can provide you faster answer.* |
|
| 694. |
The sum of the first n terms of an AP whosefirst term is 8 and the common difference is20, is equal to the sum of first 2n terms oanother AP whose first term is -30 and thecommon difference is 8. Find the value of nNCERT Exempla |
|
Answer» Sum of first n terms Sn=n/2[2a+(n-1)*d]n/2[2×8+(n-1)×20]=2n/2[2×-30+(2n-1)×8]16+20n-20=2(-60+16n-8)-4+20n=2(-68+16n)-2+10n=-68+16n66=6nn=11 |
|
| 695. |
Yasmeen saves 32 during the first month, R 36in the second month and R 40 in the third monthIf she continues to save in this manner, in howmany months will she save 2000?NCERT Exempla |
| Answer» | |
| 696. |
26 The difference between the ages of two cousinsins is 10 years. 15 years ago, if the elder one wastwice asold as the younger one, find their present ages. |
| Answer» | |
| 697. |
SUWallIW19. The difference between the ages of two sisters is10 years. If 15 years ago, the elder one was twiceas old as the younger one, find their present ages. |
|
Answer» Elder one = xYounger one = yx - y = 10......(1)x -15 = (y - 15)2x - 15= 2y - 30x -2y = -15......(2)equ.(1) - equ.(2)y = 25x = 10+25 x = 35Elder one =x=35yearsYounger one=y=25years 35 years and 25 years is the correct answer of the given question 35 years and 25 year is answer your question 35year and 25 year is your answer 72;£9-iecifudvsosowwuevxj elder ka 35 yrs.and younger ka 25 yrs. |
|
| 698. |
ts)1Rajuis1oyearsyoungerthanhiscousinAfer5years,thetrageswelentet8,) Raju is 19 years younger than his cousin. After 5 years, their ages will be in the ratio2:3.Find their present ages |
| Answer» | |
| 699. |
C. 3,1,4,2,3271. The age of father is twice that of the elder sรถllter ten years the age of father will be threetimes that of the younger son if the difference ofages of the two sons 15 years the age of thefather is?Al |
| Answer» | |
| 700. |
numbĂŠr?(ii) Sandeep was 6 years older thanSandhya. Five years ago, Sandeep wasthree times as old as Sandhya. What aretheir present ages. |
|
Answer» Step-by-step explanation: Let Sandhya be x years old Sandeep is x + 6 years old 5 years ago: Sandhya = x - 5 years old Sandeep = x + 6 - 5 = x + 1 years old Solve x: Five years ago, sandeep was three times as old as Sandhya x + 1 = 3(x - 5) x + 1 = 3x - 15 2x = 16 x = 8 Find their age: Sandhya = x = 8 years old Sandeep = x + 6 = 8 + 6 = 14 years old Answer: Sandhya is 8 years old and Sandeep is 14 years old thank you |
|