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.
| 67601. |
If the sum of first p terms of an AP isap2 + bq, find its comnon difference. |
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Answer» this is wrong right answer is 2a -ba |
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| 67602. |
If the sum of first p terms of an A.P. is equal to the sum of the first g terms, thenfind the sum of the first (p + 9) terms. |
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Answer» Sp=Sq p/2[2a +(p-1)d]=q/2 [2a+(q-1)d] p[2a +pd - d]=q[2a+qd - d ] 2ap + p^2d - pd =2aq + q^2d -qd 2ap-2aq +p^2d -q^2d -pd +qd =0 2a (p-q) +(p+q)(p-q)d -d(p-q)=0 (p-q)[2a + (p+q)d - d ]=0 2a + (p+q)d - d=0 2a + [(p+q)-1]d=0 |
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| 67603. |
110. At the time of marriage, a man was 6years elder to his wife, but 12 years afterthe marriage, his age was times the ageof his wife. Then their ages at the time ofmarriage were |
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| 67604. |
A marriage party of 300 people require 60 kg of vegetables. What is therequirement if 500 people turn up for the marriage? |
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| 67605. |
Calculation of Stock1. Quick Ratio is 1.5, Current Assets 1,00,000, Current Liabilities 40,000. Caleulate value ofStock. |
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Answer» QR = 1.5 = (asset - stock)/liabilities => (100000-stock) = 1.5*(40,000)=> stock = 100000-60000 = 40000 |
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| 67606. |
2.A camp has food stock for 500 people for 70 days. If 200 more people join thehow long will the stock last? |
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Answer» food=500*70 people days. food=700*days same food, so days=500/700 * 70=50 days. |
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| 67607. |
A man len 25% of his monev to his wate 55% to his daughter and the nnnaining out) to huHow much money hd he loaveAlso find the shares of his wife and daughter |
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| 67608. |
Write the negation of'For all a, beI, a-beI'. |
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| 67609. |
1. If the sum of first p terms of AP is ap?4bp find the common differepce. |
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Answer» thank u |
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| 67610. |
-5 \frac{1}{2}-x \leq \frac{1}{2}-3 x \leq 3 \frac{1}{2}-x, x \in R |
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Answer» 1 2 |
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| 67611. |
If the sum of the first pterms of an AP is ap +bp, find its common difference. |
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Answer» Given, sum of first P termsSp = ap^2 + bp. Then sum of first two terms.S2 = a(2*2) + b*2 = 4a + 2b First term of an APt1 = a(1*1) + b(1)4 3 = a + b Second term of an APt2 = (4a + 2b) - (a + b) = 3a + b Common difference= t2 - t1= (3a + b) - (a + b)= 2a |
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| 67612. |
3192 + ? + 2112 = 6514 |
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Answer» 3192 + ? + 2112= 65145304 + ? =6514? = 6514-5304? = 1210 3192+?+2112=6514?=1210 |
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| 67613. |
EXERCISE 6.3Aish pays 550 for a shirt in Lal Bazar Gangtok. But he wants to buy 41 415 70 and a pair of shshirts. How much money does he pay for 4 such shirts? |
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| 67614. |
О | Чx - In yo |
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Answer» 4x -12>-0; x = 3, 4(3)=12; 4x >_12;. x>_12/4=3 |
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| 67615. |
नo Yo= ॥ |
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Answer» tan^-1(tanx) = x So tan^-1(tan 3π/4) = 3π/4 Like my answer if you find it useful! |
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| 67616. |
2 x - 1 \leq x ^ { 2 } + 3 \leq x - 1 |
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Answer» The given inequality is 2x-1≤x²+3≤x-1 => 2x-1-3 ≤x²≤x-1-3=> 2x-4 ≤ x²≤ x-4 since 2x-4 will be > 0 oy when x > 2 , and at x > 2 , x² will always be greater tha 0.. so ,the first inequality holds true ✓ for second , x² will never be greater than x-4 because x-4 wil be > 0 when x > 4 , and then the value of x² will always be greater than 0 so, it will not hold true.. hence no solution is there.. for this inequality. wrong answer |
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| 67617. |
5. At the beginning of a road trip, the odometer of the carread6514 kilometres. At the end of the trip it read 8700 km. What isdistance travellled in the road trip? |
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Answer» Distance travelled = 8700-6514 = 2186 km |
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| 67618. |
Abdul, while driving to school, computes the average speed forhis trip to be 20 km h-?. On his return trip along the sameroute, there is less traffic and the average speed is30 km h . What is the average speed for Abdul's trip? |
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Answer» Let the dist. be xdist. while going = dist while returningtime = dist./speedso, time while going = x/20time while coming =x/30total time= x/20+x/30=(3x+2x)/60=5x/60=x/12total dist.= 2xavg. speed = total dist./total speed=2x*12/x=24km/hr given , speed of car =20,30km/hraverage speed =totaldistance/time takentime =2hr because 20km per hour ,30 km per hour both are hoursboth time =1+1=2average speed =20+30/2=50/2=25km/hr |
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| 67619. |
3. Abdul, while driving to school, computes the average speed forhis trip to be 20 km h'. On his return trip along the sameroute, there is less traffic and the average speed is30 km h'. What is the average speed for Abdul's trip? |
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Answer» Let the distance traveled by Abdul from home to school = s kmtime taken to reach the school=t1 secFor Return journey, Abdul cover distance =s kmtime=t2 sec∴ Average speed for forward journey[home - school ] = Total distance/ Total time.20 km/h =s/t1∴t1=s/20 h ------eq(1)Average speed for backward journey[school -home] = Total distance/ Total time.30 km/h =s/t2t2=s/30h -----eq(2)Average distance for entire journey = Total distance/ Total time =(s+s)/[s/20 +s/30] =2s/s[1/20+1/30] =2x20x30/50 =24 km/hrShortcut method : If equal distance are covered with speeds v1 and v2 then average distance=2v1v2/v1+v2 = 2x20x30/50 =24km/hr ∴ The average speed for Abdul's trip is 24km/h |
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| 67620. |
| 1.5-56-56का मानः |
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| 67621. |
\left\{(x, y) : x^{2}+y^{2} \leq 1 \leq x+y\right\} |
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| 67622. |
18. Express cos 56° + cot 56° in terms of angles between 0 and 45° |
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Answer» cos 56+ cot 56= cos (90-34)+ cot (90-34)= sin 34+ tan 34 cos(90-56)+cot(90-56)=sin 34+tan 34 thought I. Hugh hub hanging on I it was back in your way cos56+ cot56= cos(90-34)+cot(90-34)=sin34+ tan34 The ans will = sin34 + tan34 |
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| 67623. |
Q. 12. If sec 34°x, then find the value of0cot 56+cosec 56° |
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Answer» sec 34°=x=>sec² 34°=x²=>1+tan² 34°=x²=>tan² 34°=x²-1=>tan²(90°-56°)=x²-1=>cot² 56°=x²-1 And sec 34°=x=>sec(90°-56°)=x=>cosec 56°=x ∴cot² 56°+cosec 56°=x²+x-1 |
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| 67624. |
56-48+56-23-465+4988+55-5000 |
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Answer» basic addition and subtraction56-48+56-23-465+4988+55-5000=-381 |
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| 67625. |
in die 10:56, which of kon line to125Pa 10:56 |
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Answer» pr is parrallel to S line by linear pair their sum is 180 |
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| 67626. |
Find value of x and giving reason.1250 |
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Answer» x=125°because they were same angles 125 because corresponding angles are equal x=125because they corresponding angles x=125Because,corresponding angles are equalso,ans 125 |
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| 67627. |
RN करी करउदाइरण-5. बिताजन ऐल्गोस्थिम का प्रयोग कर T px) = x*पर प्राप्त भागफल एवं शेषफल ज्ञात कीजिए । एक कद को टन दर क1-2 से भाग देने |
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| 67628. |
10. Giving reason show that |
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| 67629. |
2. Without actually performing the long division, find ifwill have terminat ing or non-10500terminating (repeating) decimal expansion. Give reasons for your answer. |
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Answer» 987 = 3 × 7 × 47 10500 = 2 × 2 × 3 × 5 × 5 × 5 × 7 HCF of 987 and 10500 = 3 × 7 = 21 Therefore , Least form of the fraction = 987 / 10500 Divide numerator and denominator with HCF, we get, = ( 987 / 21 ) / ( 10500 / 21 ) = 47 / 500 987 / 10500 = 47 / 500 Denominator = 500 = 2^2 × 5^2 We have only 2 and 5 as factors . Therefore , 987 / 10500 is terminating decimal. |
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| 67630. |
20. Without solving the following quadraticequation, find the value of 'm' for which thegiven equation has real and equal roots.x2 + 2 (rn-1) x + (m + 5) = 012012 |
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Answer» thanks |
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| 67631. |
\frac{\sin 90^{\circ}}{\cos 45^{\circ}}+\frac{1}{\csc 30^{\circ}} |
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| 67632. |
2. In the given figure. I ll rn and t is a transversal. If L1 and L2 arein the ratio 5: 7, find the measure of each of the angles, 22, 23 and 28. |
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Answer» 1350 cube root |
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| 67633. |
\frac { 1 } { 3 } \text { of } 90 ^ { \circ } |
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| 67634. |
56+56 |
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Answer» 112 one hundred and twelve 56+56=112or2×56=112 the answer is 112feet 112 is your required answer...... 112 one hundred and twelve 112 is the right answer |
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| 67635. |
\operatorname { sin } ( A - B ) = \frac { 1 } { 2 } , \operatorname { cos } ( A + B ) = \frac { 1 } { 2 } , 0 ^ { 0 } < A + B \leq 90 ^ { \circ } A > B , |
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| 67636. |
Example 8 In Fig. 2.33, CM and RN arerespectively the medians of Δ ABC andΔΡ0R. IfΔABC ~ Δ PQR, prove that :CM AB() RN PQ(iii) Δ CMB ~ Δ RNQ |
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Answer» From the above the diagrams CM and RNare the medians for the triangles. we know thatΔABC≈ΔPQR AB/PQ = BC/QR = AC/PR ------------------------(1)fromΔAMC andΔPNR∠A =∠P∠M =∠N = 90AC = PRby ASA similarityΔAMC≈ΔPNR ----PROVED from thisAC/PR = CM/RN = AM/PNFROM ------(1)AB/PQ = BC/QR = AC/PRfrom thatCM/RN = AB/PQ -----PROVED fromΔBMC andΔQNR∠B =∠Q∠M =∠N = 90BC = RQby ASA similarityΔBMC≈ΔQNR ------PROVED plz fast thank u |
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| 67637. |
(a) Without performing long division procedure,1790show whether the rationalnumberterminating decimal or non-terminatingrepeating decimal. |
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Answer» The theory of arithmetic says that a no needs to have only 2 and 5 as it's prime factors in order to be a terminating one so here 17/2*3^2*5. |
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| 67638. |
In which case the chance desire of desired outcome iz more :1) Getting head in a toss of coin2)Gettimg 4 in a throw of die . |
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Answer» Probability of getting a head in toss of coin = 1/2 Probability of getting 4 in a throw of dice = 1/6 Therefore, chances of getting head in toss of coin is more than getting 4 in a throw of dice. |
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| 67639. |
8. The legs of a right triangle are in the ratio 3:4 and its area is 600 cm^2. Find the lengths ofits legs. |
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| 67640. |
x*(((x %2B 6)*(x %2B 9))*(x %2B 3)) %2B 56 |
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Answer» 4x + 74 correct |
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| 67641. |
The legs of a right triangle are in the ratio 3: 4 and its area is 1014 cm2. Find the lengths ofits legs. |
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| 67642. |
7. Simplify25 x t-425% t(t0)85-3 Ă 10 Ă |
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Answer» (5^2×t^(-4))/(5^(-3)*5*2*t^(-8))5^(2+3-1)*t^(-4+8)/25^4*t^4/2{(5t)^4}/2 |
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| 67643. |
Find the reciprocal of 3/4-2/5÷(-4/25)×7/15+2/3 |
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| 67644. |
\frac 1 30 %2B \frac 1 42 %2B \frac 1 56 %2B \frac 1 72 %2B \frac 1 90 %2B \frac 1 110 |
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Answer» 1/(5*6) + 1/(6*7) + 1/(7*8) + 1/(8*9) + 1/(9*10) + 1/(10*11) + 1/(11*12)= (1/5 - 1/6) + (1/6 - 1/7)+ (1/7 - 1/8) + (1/8 - 1/9) + (1/9 - 1/10) +(1/10 - 1/11) + (1/11 - 1/12)= 1/5 - 1/12= 7/60 6/55 |
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| 67645. |
6*x %2B x^3 - 3*x^2 %2B 56 |
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Answer» answer malum ho to bta dena hmko v |
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| 67646. |
Look at several example of national numbers in the form f 19, 2011p and q are integers' with no common factors Other than 1and having terminating decimal representations lex pansions).you guess what property a must satisfy?PJ |
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| 67647. |
(State whether the rational number 17/8 will have a terminatingdecimal expansion or non-terminating repeating decimal expansior |
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| 67648. |
6. How did Griffin's invisibility come to his help whenever he found himself in trouble? |
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Answer» Griffin always wanted to be invisible, but as soon as his wish was fulfilled, he started to face the consequences. In order to be invisible, he had to remove his clothes and it was impossible to survive in the cold of London without clothes. The next disadvantage of being invisible was he couldn’t eat anything in public. He didn’t want to confide himself and hence he couldn’t take shelter in anybody’s home. Although he was invisible, dogs could smell him and followed him wherever he went. Therefore, Griffin wanted to be visible again but couldn’t get a quiet place to perform his experiments. thnks |
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| 67649. |
ly. Hence or otherwise evaluate (J2 + 1)" + (1-8n-9 is divisible by 64, whenever n is a positive inFind 1) (r 1) |
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Answer» the image is not clear. its incomplete. |
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| 67650. |
18. यदि sec 0 - (1 + 3) tan 8 +3 - 1 = 0, तब निम्नलिखित में सेकौनसा एक tan 8 का एक मान है?में |
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