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. |
the area of a rectangle gets reduced by 9 square units if it's length reduced by 5 units and breadth is increased by 3units. If we increase the length by 3 units and the breadth by 2 units,the area increases by 67 square units. Find the dimensions of the rectangle |
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Answer» Answer: The area of a rectangle gets REDUCED by 9 square units, if its LENGTH is reduced by 5 units and BREADTH is INCREASED by 3 units. If we increase the length by 3units and the breadth by 2 units, the area increases by 67 square units. Step-by-step explanation: |
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| 2. |
Given that HCF (135, 225) = 45, find the LCM (135, 225). |
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Answer» Answer: 675 is the LCM .PLEASE MARK as BRAINLIEST |
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| 3. |
Self Help•AdverbsWiselyCarefullyPatientlyAdverb Phrasesin a wise mannerwith great carewith patienceimmar - VII |
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Answer» Answer: Sorry . I can't understand Your question. I m ALSO 7th class. But i CANT understand WHT u TOLD. (´・_・`)(´・_・`)(´・_・`)(´・_・`)(´・_・`) |
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| 4. |
A wire is 92/5 m in lengh.a lengh of 19/3 m has been cut from it.how much wire is left. |
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Answer» Step-by-step EXPLANATION: total length = 92/5 m we cut off 19/3 m remaining will be? 92/5 - 19/3 = 12.066 Its just like you have 10 apples, somebody TAKES 5 out of the ten, how many do U have remaining? 10-5 = 5 remaining |
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| 5. |
7*11*13+13 are _____numbers. |
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Answer» Answer: Step-by-step EXPLANATION: |
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| 6. |
If a = 10 and = 10 find first four terms of AP |
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Answer» A=10 d=10 |
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| 7. |
Find the local maxima of the function,y =(x - 1)^2 (2-x) |
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| 8. |
3t 3t+2------- = ---------4t-3 4t |
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Answer» Step-by-step EXPLANATION: This is only ANSWER 1 1+2=3 1 1-3=-2 |
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| 9. |
Prove that √3 is irrational no. |
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Answer» suppose 3–√ is rational, then 3–√=AB for some (a,b) suppose we have a/b in simplest form. 3–√a2=ab=3b2 if b is even, then a is also even in which CASE a/b is not in simplest form. if b is ODD then a is also odd. THEREFORE: ab(2n+1)24n2+4n+14n2+4n2n2+2n2(n2+n)=2n+1=2m+1=3(2m+1)2=12m2+12m+3=12m2+12m+2=6m2+6m+1=2(3m2+3m)+1 Since (n^2+n) is an integer, the left hand side is even. Since (3m^2+3m) is an integer, the right hand side is odd and we have found a contradiction, therefore our hypothesis is false. |
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| 10. |
Sum of two number is 74. One of the number is 34 than the other |
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Answer» Answer: 40 Step-by-step explanation: 74-34=40 |
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| 11. |
Rationalize the denominator of 1/root 10 |
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Answer» √10/10 Step-by-step explanation: 1/√10 =1/√10*√10/√10 =√10/10 |
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| 12. |
What shoyld be added to 66.778 get 78.2 |
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Answer» Answer: 11.422 should be ADDED to 66.778 to GET 78.2. 78.2-66.778=11.422 Hope this helps you PLEASE mark as BRAINLIEST |
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| 13. |
Complete the series 1,2,3,5,8,13,21 |
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Answer» It is QUESTION of fibonacci series. |
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| 14. |
9. Calculate the perimeter of a rectangle whose area is 25x2 – 35x + 12. Use the method of splitting the middle term. |
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Answer» Step-by-step EXPLANATION: |
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| 16. |
Show that the points 1,1 and 3 - 2 and -1,4 are collinear |
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Answer» rithiksa770 @gmail.col |
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| 17. |
If tan ( alpha+ theta)=n tan (alpha-theta) prove that:- sin 2 theta /sin 2 alpha=n-1/n+1 |
Answer» HOPE it HELPS you :-) |
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| 18. |
I) x3 – 4x² - 3x + 5 ; X - 3 |
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Answer» -13 Step-by-step EXPLANATION: x³−4x²−3x+5 Evaluate for x=3 =3³−4(3²)−(3)×(3)+5 =27 −4 (9) - 9 + 5 =27 - 36 -4 =−13 |
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| 19. |
(ii) 3, 6, 12,..... 5 term in Gp |
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Answer» Answer: Step-by-step EXPLANATION: |
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| 20. |
Real NumbersEXERCISE - 1.21. Express each of the following numbers as a product of its prime factors.(1) 140 (m) 156 (m) 3825 (iv) 5005 (v) 7429 |
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Answer» Answer: only you have to do the PRIME Factorization of given numbers and then write the factors in the PAIRS or their sequence. Step-by-step explanation: like this 140 2 | 140 2 | 70 5 | 35 7 | 7 | 1 140= 2x2x5x7 |
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| 21. |
The other number is 203.Find th1.5Exercise 5.6Solve the following word problems.1. The number of trees were planted equally in 9 different parks is 7,623.How many trees would be planted in 1 park?2. if Aliya's annual school fee is €11,580, what will be her monthly fee?3. The parking facility at a metro station in Delhi can accommodate up to5,000 vehicles at a time. If the parking structure is 8 levels, how manyvehicles can be parked on each level?4. 7,635 stickers were distributed equally in 16 different schools. How manystickers did each school get? Were there any stickers left over?5. On the Independence Day, 6,289 people weredivided in 20 different groups. There were equalnumber of people in each group. How manypeople were there in each group? How manypeople were left out?6. Ajug contains 4,341 mL of juice which is poured equally into 11 glasses. Howmany mL of juice does each glass contain? How many mL of juice remains inUniSheeНоиStepthe jug?SteEstimating the QuotientYou have learnt how to round off numbers. By rounding off |
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| 22. |
Xy = e^x-y show that dy by dx = xy-y / x+xy |
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Answer» Answer: Step-by-step explanation: take natural LOG on both SIDES. => ln(xy) = (X-y) * ln(e) => ln(x) + ln(y) = x-y # log(AB) = log(a) + log(b) Now differentiate: the derivative of log(x) = 1/x So we get Now GROUP both dy/dx together => Therefore dy/dx on simplifying will give u the ans. |
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| 23. |
7-8/4+5*3=8*3+6/2-3 |
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| 24. |
E=mc² please tell answer |
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Answer» Step-by-step explanation: That expresses the fact that mass and energy are the same physical ENTITY and can be changed into each other. In the equation, the increased relativistic mass (m) of a body times the speed of LIGHT SQUARED (c2) is equal to the KINETIC energy (E) of that body. |
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| 25. |
x4-16; x+2यूजिंग लोंग डिविजन मेथड कम से कम वे चेक वेदर द सेकंड पॉली नॉमिनल इज द फैक्टर ऑफ़ द फर्स्ट पॉलिनॉमियल्स एक्स की पावर फॉर माइनस 6 3 को में एक्सप्रेस दो |
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Answer» Answer: kya Step-by-step explanation: |
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| 26. |
In each of the figure given below, transversal intersects a pair of parallel lines. find the values of X and Y in the following fig.. |
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Answer» Answer: x= 120°, y= 60° Step-by-step explanation: ∠QRS= 60° y= ∠QRS= 60° (ALTERNATE interior ANGLES) x+y= 180° (LINEAR pair) THEREFORE, x= 180°-60° =x= 120° Hope it helps |
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| 28. |
If one roots of quadratic equation xx-7x+k=0is 2 find value of k |
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Answer» Answer: 2 Step-by-step explanation: 2 −7x+k=0 ⇒42 −7×4+k=0 ⇒16−28+k=0 ⇒k=12 |
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| 29. |
The value of tan2π/3+4 cos2π\4+3sec2π\6+cot2π\2 |
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Answer» Answer: |
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| 30. |
If p(x)=x+5 which of the folLowing is the value of p(x)+p(-xp) |
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Answer» Step-by-step EXPLANATION: The Prime FACTORIZATION of 18252 is: 18252= 2 × 2 × 3 × 3 × 3 × 13 × 13 • In Exponential Form: 18252= 2² × 3³ × 13² (Here MULTIP |
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| 31. |
How many terms are there In the series 4+8+6+1024 |
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Answer» =4386.532634a2h3i2m2n2or4s3t3wy+1038 Step-by-step EXPLANATION: =4386.532634a2h3i2m2n2or4s3t3wy+8+6+1024 =(4386.532634a2h3i2m2n2or4s3t3wy)+(8+6+1024) =4386.532634a2h3i2m2n2or4s3t3wy+1038 |
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| 32. |
When a circle of radius 5 cm and 6 cm are given Are they congurent |
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Answer» no because RADIUS is not same Step-by-step EXPLANATION: |
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| 33. |
in each of the figure given below, transversal intersects a pair of parallel lines. find the values of X and Y in the following figures . |
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Answer» If ANGLE PSB = 80° PSB + BSR = 180°. (Linear PAIR) 80° + y = 180° y = 100° y = x (Corresponding ANGLES) 100°=100° keep smiling ❣️ |
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| 34. |
Which number is greater -28 or 33 |
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Answer» Answer: 33 is greater Step-by-step EXPLANATION: |
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| 35. |
(tan A - tan B)/(tan A.tan B-1) = |
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Answer» (tan A - tan B)/(tan A.tan B-1) =
------>>>>Here is your answer<<<<-------- ➪Tan(A-B) is the answer HOPE IT HELPS YOU.. _____________________ Thankyou:) |
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| 36. |
Find the smallest 4-digits number which is formed with different 2-digits |
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Answer» Answer: 9988 Step-by-step EXPLANATION: Largest number=9999 |
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| 37. |
Find the rational number between 2/9 and3/8 |
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Answer» so, the RATIONAL NUMBERS are - 17*72,18/72,19/72,20/72,21/72,22/72,23/72,24/72,25/72,26/72. |
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| 38. |
Find the local maxima of the function,y = (x - 1)^2 (2-x) |
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Answer» Answer: follow me and msg me and take my answer as the brainliest Step-by-step explanation: MAXIMUM or minimum can be seen by using derivatives. Steps1: First FIND first derivative of the function Step2: Put it equal to zero and find x were first derivative is zero Step3: Now find SECOND derivative Step4: Put x for which first derivative was zero in equation of second derivative Step5: If second derivative is GREATER than zero then function takes minimum value at that x and if second derivative is negative then function will take maximum value at that x. If Second derivative is zero them it means that this is the point of inflection. f ′
(x)=3x 2 −12x+9 Putting this equal to zero, we get f ′
(x)=0 3x 2 −12x+9=0 ⇒(x−1)(x−3)=0 ⇒x=1,3 Now let's see the DOUBLE derivative of this function. f ′′
(x)=6x−12 At x=1 f ′′
(1)=6×1−12=−6 So function will take maximum value at x=1, which is given by f(1)=19 At x=3 f ′′
(3)=6×3−12=6 This is positive at x=3, so function will take a minimum value at x=3. Minimum value is given by f(3)=3 3 −6×3 2 +9×3+15=15 Minimum value of the function is 15 Maximum value of the function is 19 |
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| 39. |
What is ioda in mathematics class11 ncert cbse |
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Answer» Answer: IOTA is a greek letter which is widely used in mathematics to DENOTE the imaginary PART of a complex number. Let's say we have an equation: x^2 + 1= 0 . In this CASE, the VALUE of x will be the square root of -1, which is fundamentally not possible. |
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| 40. |
The value of 48/5 divided by -4/5 |
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Answer» •••♪ |
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| 41. |
Changing the order of numbers in addition did not change the result true or false |
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Answer» TRUE..... Step-by-step EXPLANATION: |
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| 42. |
If x2+y2+z2 = 14 and xy + yz + zx = 11, then the value of (x+y+z)2 is |
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Answer» didn't KNOW........ |
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| 43. |
Find coefficient of x3 in equation 3+x2+4x3 |
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Answer» Answer: 4 Step-by-step EXPLANATION: |
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| 44. |
(3x²-1/5x+7/3)+(-1/4x²+1/3x-1/6)+(-2x²-1/2x+5) |
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Answer» STEP-by-step explanation: ((7 • (a2)) + 14ab) + 7b2 STEP 2 : EQUATION at the end of step2: (7a2 + 14ab) + 7b2 STEP3: STEP4:Pulling out like TERMS 4.1 Pull out like factors : 7a2 + 14ab + 7 |
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| 45. |
Which of the following numbers are perfect square 1-484 2-625 3-576 4-941 |
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Answer» ANSWER : 4TH OPTION 941 is not a perfect SQUARE REST others are perfect square hope that it might help you |
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| 47. |
The sum of two integers is 98. If one of them is -54 find the other |
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| 48. |
Which of the following pairs is equivalent? -20/12,5/3 16/-30,-8/15. -18/36,-20/44. 7/-5,-5/7 |
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Answer» Step-by-step EXPLANATION: (ii) 15 : 16 or 24 : 25 (iii) 4 : 7 or 5 : 8 (IV) 9 : 20 or 8 : 13 (v) 1 : 2 or 13 : 27 ANSWER: (i) Writing the ratios as fractions, we have 3 : 4 = 34 and 9 : 16 = 916 Now, LCM of 4 and 16 = 16. Making the denominator of each fraction = 16, we have 34 = 3 × 44 × 4 = 1216 and the other fraction = 916 Of 1216 and 916, clearly 1216>916. Therefore, 34>916. (ii) Writing the ratios as fractions, we have 15 : 16 = 1516 and 24 : 25 = 2425 Now, LCM of 16 and 25 = 400. Making the denominator of each fraction = 400, we have 1516 = 15 × 2516 × 25= 375400 and the other fraction = 24 × 1625 × 16= 384400 Clearly, 384 > 375. So, 384400 > 375400. Therefore, 2425>1516. (iii) Writing the ratios as fractions, we have 4 : 7 = 47 and 5 : 8 = 58 Now, LCM of 7 and 8 = 56. Making the denominator of each fraction = 56, we have 4× 87 × 8= 3256 and the other fraction = 5 × 78 × 7= 3556 Clearly, 36 > 32. So, 3556 > 3256. Therefore, 58>47. (iv) Writing the ratios as fractions, we have 9 : 20 = 920 and 8 : 13 = 813 Now, LCM of 20 and 13 = 260. Making the denominator of each fraction = 260, we have 9× 1320 × 13= 117260 and the other fraction = 8 × 2013 × 20= 160260 Clearly, 160 > 117. So, 160260 > 117260. Therefore, 813>920. (v) Writing the ratios as fractions, we have 1 : 2 = 12 and 13 : 27 = 1327 Now, LCM of 2 and 27 = 54. Making the denominator of each fraction = 54, we have 1× 272 × 27= 2754 and the other fraction = 13 × 227 × 2= 2654 Clearly, 27 > 26. So, 2754 > 2654. Therefore, 12>1327. |
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| 49. |
The number ofmultiples of 4 between 10 and 250 are: |
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Answer» Answer: 12, 16, 20, 24, 28, 32, 36, 40 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 196, 200, 204, 208, 212, 216, 220, 224, 228, 232, 236, 240, 244, 248. Step-by-step explanation: |
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| 50. |
Give me answer of this sum(-5/9×72/-105) - (11/17×34/66) + (28/-13×-52/21) |
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Answer» (-5/9×72/-105) - (11/17×34/66) + (28/-13×-52/21) 8/21-1/3+16/3 taking LCM 8/21-7/21+112/21 113/21 =5.3 |
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