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. |
How to find short run supply curve from short run total cost |
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| 2. |
Find the sum of lowest fraction and highest fraction out of 3/5, 5/11, 2/7, 7/9 & 9/14 |
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Answer» The SUM of LOWEST and HIGHEST FRACTION i.e., |
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| 4. |
Daam hai to solve karo... |
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Answer» ROOT dx^2/x+2 root d+x/2 |
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| 5. |
The 8th term of an AP is 17th and 19th term is 39.find the 25th term |
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Answer» LET a be the FIRST term. |
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| 6. |
Shobos mothers present age is six times Shobos present age Shobos age five years from now will be one third of his mothers present age what are their present ages |
| Answer» 7 and 42 i THINK so.................. | |
| 7. |
The sum of numerator and denominator of a certain fraction is 10 if 1 is subtracted from the both the numerator and denominator the fraction is decreased by 2 by 21 find the fraction |
| Answer» HOPE this will HELP you. | |
| 10. |
Is 18 and 49 co prime numbers...answer with step... |
| Answer» JR DeJesus Huggies STAFF bnsloaoqpqowjdhbdbdwbnwmqlqpaos | |
| 11. |
Haldane?s (1957) upper limit of 300 years per adaptive substitution |
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Answer» Jakisuxuxyndbsmslalalsosixhdbdbdbdsmsms |
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| 12. |
where will a point lie if the positive abscissa equals to the negative of the positive ordinate? please answer. |
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Answer» Step-by-step explanation: The point will LIE on 4TH quadrant, HOPE you UNDERSTOOD |
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| 14. |
Find the mean first n natural number |
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Answer» 10+9+8+7+6+5+4+3+2+1 =55 |
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| 15. |
√6/√3-√2, Rationalise the denominators of the given numbers. |
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Answer» We multiply both the NUMERATOR and the DENOMINATOR of the given number by its CONJUGATE irrational number (√3 + √2) of its denominator. Then, (√6)/(√3 - √2) = {(√6)(√3 + √2)}/{√3 + √2)(√3 - √2)} = (3√2 + 2√3)/(3 - 2) = (3√2 + 2√3)/1, which is the required form. # |
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| 16. |
1/3+√2 , Rationalise the denominators of the given numbers. |
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Answer» To rationalize the DENOMINATOR of the given number, we MULTIPLY both the numerator and the denominator by the conjugate irrational number (3 - √2) Now, 1/(3 + √2) = (3 - √2)/{(3 + √2)(3 - √2)} = (3 - √2)/(9 - 2) = (3 - √2)/7, which is the REQUIRED form # |
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| 17. |
t⁴=256, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers. |
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Answer» T⁴ = 256 => T = 4√256 => T = 4 Since 4 is a RATIONAL number, the variable T is a rational number. Since X ,Y, Z are not GIVEN, nothing can be said about their PROPERTY. |
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| 18. |
w²=27, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers. |
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Answer» Now, w² = 27 or, w² = (3√3)² or, W = ± 3√3 Since √3 is an IRRATIONAL NUMBER, ± 3√3 is ALSO irrational ∴ w is an irrational number # |
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| 19. |
u²=17/4, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers. |
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Answer» Now, u² = 17/4 or, u² = {(√17)/2}² or, u = ± (√17)/2 We know that √17 is an irrational NUMBER; so ± (√17)/2 are ALSO an irrational number ∴ u is an irrational number # |
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| 20. |
z²=0.02, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers. |
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Answer» Z² = 0.02 0.02 can be written as 2 / 100 => Z² = 2 / 100 => Z = √ ( 2 / 100 ) => Z = + √2 / 10, - √2 / 10 Since √2 is an irrational NUMBER, √2 / 10 is an irrational number. THEREFORE, Z is also an irrational number. |
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| 21. |
y²=16, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers. |
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Answer» Y² = 16 => Y = √ 16 √ 16 = + 4, - 4 Hence Y = 4, -4 Since 4 and - 4 are rational NUMBERS, Y is THEREFORE a rational NUMBER. |
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| 22. |
x²=7, In the given equation, find whether variables x, y, z etc. represent rational or irrational numbers. |
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Answer» X² = 7 => X = + √ 7 , - √ 7 We KNOW that √7 is an irrational number. Hence X = Irrational number. |
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| 23. |
(2+√2)(2-√2) , Classify the given number as rational or irrational. |
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Answer» HEYA!! ---------- (2 + √2 ) ( 2 - √2 ) Using identity ( A + B ) ( A - B ) = ( A^2 - B^2 ) ( 2+√2) (2-√2) = ( 4 - 2 ) = 2 ✔It is a Rational Number ..⭐⭐ ---------------------------------------------------------------------------------------------------- |
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| 24. |
1/√3, Classify the given number as rational or irrational. |
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Answer» We know that √3 is an IRRATIONAL number Then, 1/(√3) is ALSO an irrational number which can be EXPRESSED as 1/(√3) = (√3)/(√3 × √3) = (√3)/3 if the denominator be RATIONALIZED # |
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| 25. |
(√2-2)², Classify the given number as rational or irrational. |
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Answer» This is of the form ( a - b )² We know that ( a - b )² = a² - 2ab + b² => ( √2 - 2 )² = ( √2 )² - 2 ( √2 ) ( 2 ) + 2² => ( √2 - 2 )² = 2 - 4√2 + 4 => ( √2 - 2 )² = 6 - 4√2 Since 6 - 4√2 is an irrational number ( As anything added with irrational number is an irrational number ), ( √2 - 2 )² is ALSO an irrational number. |
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| 26. |
√3+√2, Classify the given number as rational or irrational. |
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Answer» We know the fact that √ 3 and √ 2 are IRRATIONAL NUMBERS. This is because √ 2 and √ 3 have NON terminating non recurring DECIMAL number. Hence they are not rational but they are irrational. Also we know that any number when added with an irrational number always yields an irrational number. So Irrational number added with Irrational number also gives Irrational number only as the sum. Hence √3 + √2 is an irrational number. |
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| 27. |
5−√3, Classify the given number as rational or irrational. |
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Answer» We know that √3 is an irrational number Here 5 is a RATIONAL number and √3 is an irrational number; thus by property, SUBTRACTION of irrational number from a rational number resulting an irrational number, we can conclude that (5 - √3) is an irrational number We can ALSO prove it using CONTRADICTION. # |
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| 28. |
(5+√5)(5−√5) Simplify the given expressions. |
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Answer» Now, (5 + √5) (5 - √5) = (5 × 5) - (5 × √5) + (5 × √5) - (√5 × √5) = 25 - 5 = 20 We can ALSO FIND the VALUE using identity rule (a + b) (a - b) = a² - b² So, (5 + √5) (5 - √5) = 5² - (√5)² = 25 - 5 = 20 # |
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| 29. |
All real numbers are irrational. State whether the given statement are true or false. Justify your answers. |
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Answer» The above STATEMENT is true. REAL numbers is a COLLECTION of all rational and IRRATIONAL numbers in a group. Hence, All irrational numbers are a part of real numbers which TELLS all irrational numbers are real numbers. But all real numbers are not irrational numbers as they consist of both rational and irrational numbers. |
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| 30. |
√n is irrational if n is not a perfect square. State whether the given statement are true or false. Justify your answers. |
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Answer» TRUE. HENCE IRRATIONAL |
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| 31. |
√n is not irrational if n is a perfect square.State whether the given statement are true or false. Justify your answers. |
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Answer» HEY mate!! ➡√N is not irrational if n is a PERFECT square ➡The given statement is true . ➡let us understand this with the help of an example If we take Then its VALUE is 2, which is RATIONAL number. Hope it helps to you. |
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| 32. |
Every real number need not be a rational number. State whether the given statement are true or false. Justify your answers. |
| Answer» TRUE... because imagine a number line iy consists RATIONAL numbers and also IRRATIONAL in p/q form.. so every real is an rational number... i will consider UR QUESTION in some cases.. | |
| 33. |
Every rational number is a real number. State whether the given statement are true or false. Justify your answers. |
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Answer» Real numbers is DEFINED as the collection of numbers which have both the rational and irrational numbers as it's component. So all rational numbers are a part of Real numbers. Hence All rational numbers are real numbers but not all real numbers are rational numbers. |
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| 34. |
Every irrational number is a real number. State whether the given statement are true or false. Justify your answers. |
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Answer» True,all IRRATIONAL NUMBERS and rational numbers FORM a GROUP of real numbers |
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| 35. |
0.3030030003....., Classify the given number as rational or irrational. |
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Answer» It's an IRRATIONAL NUMBER |
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| 36. |
11.2132435465, Classify the given number as rational or irrational. |
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Answer» We have, |
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| 37. |
7.484848…, Classify the given number as rational or irrational. |
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Answer» Given decimal 7.484848... is a non-terminating recurring decimal. 7.4848....is a rational number. ********************************** The set of digits which repeats in non-terminating recurring decimal is CALLED period. The number of digits in a period of non-terminating decimal is called PERIODICITY . ************************************ In 7.484848..... Period = 48 Periodicity = 2 _____________________ Let x = 7.484848... ----( 1 ) MULTIPLY ( 1 ) with 100, we get 100x = 748.484848...---( 2 ) SUBTRACT ( 1 ) from ( 2 ) , we get 99x = 741 => x = 741/99 = 247/33 [ p/q form ] Therefore , 7.484848....= 247/33 is a rational number. •••••• |
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| 38. |
30.232342345… , Classify the given number as rational or irrational. |
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Answer» <P>A rational NUMBER is a number that can be expressed in the form of p / q where q ≠ 0 and p,q are integers. 30.232342345.... is a non terminating, non recurring DECIMAL number. A rational number always has either a terminating decimal number or a non terminating recurring number. But non terminating and non recurring number is not possible for it to be a rational number. HENCE 30.232342345... is not a rational number as it is non terminating and non recurring. |
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| 39. |
√441 , Classify the given number as rational or irrational. |
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Answer» GIVEN √441 = √(21 × 21 ) = 21 [ p/q FORM ] = RATIONAL number Therefore , √441 is a rational number. •••• |
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| 40. |
3.127 - Express the given decimal number in the p/q form. |
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Answer» Hey YAR here is ur answer |
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| 41. |
Plz help me plZ plz plz |
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Answer» ANGLE ABE = BEF = 60 deg BC (180 deg) = angle BEF + angle FEC 180 = 60 + x x = 180-60 x= 120 |
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| 42. |
0.36 - Express the given decimal number in the p/q form. |
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Answer» GIVEN TERMINATING decimal 0.36 = 0.36 × ( 100/100 ) = (0.36 × 100 )/100 = 36/100 = ( 4 × 9 )/( 4 × 25 ) After cancellation, we get = 9/25 [ p/q FORM ] 0.36 = 9/25 •••• |
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| 43. |
0.5 - Express the given decimal number in the p/q form. |
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Answer» LET, x = 0.5 Then, 10X = 5 or, x = 5/10 or, x = 1/2 Therefore, the REQUIRED number be 0.5 = 1/2 ( in p/q form ) # |
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| 44. |
10.25 - Express the given decimals in p/q form where q≠0 and p, q are integers |
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Answer» LET, X = 10.25 Then, 100X = 1025 or, x = 1025/100 or, x = 41/4 Therefore, 10.25 = 41/4 ( in p/q FORM ) # |
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| 45. |
15.4 - Express the given decimals in p/q form where q≠0 and p, q are integers |
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Answer» 154/10 it is the ANSWER |
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| 46. |
11/9 - Express the given rational numbers as decimals numbers. |
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Answer» 1.22222222 this is the ANSWER |
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| 47. |
22/7 - Express the given rational numbers as decimals numbers. |
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| 48. |
-25/36 - Express the given rational numbers as decimals numbers. |
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| 49. |
242/1000 - Express the given rational numbers as decimals numbers. |
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Answer» We know that any number when DIVIDED by 1000 can be simplified further into decimal form by just moving the points to EITHER left or right side of the number. E.g. 120 / 1000 Here 1000 is to be divided HENCE the points must be moved from left to the right. 1000 has three zeros and hence it must be moved 3 times to the left. 120.0 / 1000 => 0.12 Similarly, 242 / 1000 is : 242.0 / 1000 => 0.242 |
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| 50. |
A number which is natural number, whole number, integer and rational number,Give one example for the given statement. |
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Answer» 1 is the BEST example. |
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