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. |
two sticks each of length of 7 cm crossing each other that they bisect each other at right angle .which shape is formed by joining the end points of their end points . Give reason |
|
Answer» Sticks are treated as the DIAGONALS of the quadrilateral now , since the diagonals i.e the sticks are bisecting each other at the right angles , therefore , The shape FORMED by JOINING the ENDS will be a rhombus hence , Shape is formed by joining the end points of their end points is RHOMBUS #Learn more : |
|
| 2. |
2x+1/x= 200. Find the value of x |
|
Answer» Step-by-step explanation: 2x+1/x=200 => 2x+1=200x => 1=200x-2x =>1=198x => x=1/198 |
|
| 3. |
Prove 6 upon 3 under root 2 is irrational |
|
Answer» Your answer First SIMPLIFY it then RATIONALIZE and then PROOF it.. |
|
| 4. |
Two quantities are in the ratio 7:4.if the greater quantity is 24.5 then the smaller quantity will be |
|
Answer» let the two QUANTITIES be 7X and 4x as they are in RATIO of 7:4 therefore we can assume the above expression. 4x=24.5 x=6.125 therefore larger quantity is 7x=7*6.125 =42.875 hope this HELPS |
|
| 5. |
34 456 780Place value or value |
|
Answer» Answer: Step-by-step explanation: Given 34 456 780 Place value or value of the digit 3 ANSWER The place value in which the POSITION of a NUMBER is based. For example the place value of 7 in the above given number is hundred’s place and value is 700. Now coming to the digit 3, the place value of 3 is ten MILLION and the value is 30,000,000 |
|
| 6. |
A rhombus of side 20cm has two angles of 60° each. Fine the length of the diagonals |
|
Answer» vkfsulrxipeycuoPucyegisarygoupurufuozypfursuxuoRifyxpUsurxhlTufeyauyseyyoFiurfotElzyex |
|
| 7. |
If two squares are chosen at random on a chessboard, what is the probability that they have a side in common? |
|
Answer» 1/18 6 possibilities for 1ST square Corners, leftmost column, rightmost column, topmost ROW, bottomost row, others Corners have 2 cells that can share a side Other 4 have 3 cells that share a side Others = 4cells Answer (4*2 + 24*3+36*4)/(64*63) =1/18 |
|
| 8. |
If the numbers from 1 to 45 which are exactly divisible by 3 are arranged in an ascending order, minimum number being kept first, then which number would come at the ninth place from the first? |
|
Answer» Hope it will HELP you.... |
|
| 9. |
11 square + 12 square + 13 square upto 20 square equal to |
|
Answer» Answer:121+144+169+196+225+256+289+324+361+400 = 2485 Answer:121+144+169+196+225+256+289+324+361+400 = 2485Step-by-step EXPLANATION: Answer:121+144+169+196+225+256+289+324+361+400 = 2485Step-by-step explanation:2485 |
|
| 10. |
Rationalize the denominator and evaluate if √2 1.414 and √5= 1.732 rationalize 1/√3+√2 |
|
Answer» Answer: HEY MATE here is the SOLUTION !! HOPE it helps you!! |
|
| 11. |
5. A can do a work in 15 days and Bin 20 days. If they together workon it for 4 days, then the fractionof the work that is left, is |
| Answer» | |
| 12. |
CotA+cosecA-1/cotA-cosecA+1 |
|
Answer» COT A +cosecA-1/cotA-cosecA+1 Step-by-step EXPLANATION: cotA=B/P=AB/BC cosec=H/P=AC/BC Therefore, AB/BC+AC/BC
|
|
| 13. |
Cross multiplication method 5/2x + 2/3y = 7 & 3/x +2/y=12 |
|
Answer» Answer: 5/2X+ 2/3y =7 15y/6xy +6x/6xy =7(make the denominator same) 15y+6x/6xy =7 by cross multiplication, solve the remaining.... 3/x + 2/y =12 3y/xy +2x/xy =12 (make the denominator same) 3y+2x/ xy =12 by cross multiplication 3x+ 2x =12xy solve the remaining |
|
| 14. |
Army base camp asako 40 kg of rice is enough for a month for its soldiers how many subjects are required for too much for a battalion of 320 soldiers |
| Answer» | |
| 15. |
Length 18 cm height 3 cm volume 540m3, find breadth? |
|
Answer» Answer: 100cm=1m therefore 18CM = 0.18m and 3CM = 0.03m Since VOLUME = l×h×b 540=0.18×0.03×b 540=0.0054b 540÷0.0054=b 100,000=b b=100,000m |
|
| 16. |
IF p=3 q=1 r=0 a=5 b=-1 find the value ofa. 3p-2q+4rb. -4q-3a+2bc. -4p +5a-ad. pq-3qb-bre2qb-ra+4r2f.p2-2q2+3b2g-p2-bp+3b2h.ap-ab-ba |
|
Answer» hey BUDDY, here is your ans.. I did 4 parts I hope it HELPS you and other 4 parts will be EASY for you thank you have a great Evening |
|
| 17. |
The sum of two number is 18 and their product is 56 find the number |
|
Answer» Given : Sum of two numbers = 18 Let the numbers be x and y According to the problem, x + y = 18 x = 18 - y ---------(1) The product of these numbers = 56 xy = 56 ------(2) Substitute eq - (1) in eq - (2) (18 - y)y = 56 18y - y² = 56 y² - 18y - 56 = 0 Split the middle term. y(y - 4) - 14(y - 4) y - 4 = 0 ; y - 14 = 0 y = 4 ; y = 14 We can TAKE either 4 or 14 as y value. Let's take 14. Then x : x + y = 18 x + 14 = 18 x = 18 - 14 x = 4 Therefore, the two numbers are 14 and 4. |
|
| 18. |
If x=3√28 and y=3√27 then find the value of x+y-1/x^2+xy+y^2 |
|
Answer» Answer: Solution is in photo Step-by-step explanation: |
|
| 19. |
show that the square of any positive integer cannot be of the form 6 m + 2 or 6 m + 5 for any Integer |
|
Answer» Answer: Let the positive integer be a and b=6. According to Euclid's DIVISION lemma, a=bq+r Here, a=6q+4 where 0 So possible values of r are 0, 1,2,3,4,5 CASE1. when r=0, a=4 a^2 =16 a^2 =6(2)+4 a^2 =6m+4..............equation1 CASE 2.r=1, a=10 a=6m+4(m=1).................eq2 CASE3.a=6m+4(m=2)....... ........................... Similarly do for case4, 5 and 6.YOU WILL NOT GET a=6m+2 or 6m+5. At last write down.. Hence, the square of any posit integer the cannot be of the FORM 6m+2 or 6m+5 for any integer m |
|
| 20. |
Find three rational numbers between ⅓and½ |
|
Answer» (1/3)*20=20/60 (1/2)*30=30/60 21/60;22/60;23/60 |
|
| 21. |
If AB || CD ,find the value of X and y |
|
Answer» x=30 using alt INT angle property in triangle ABD x+y+80=180 [asp] x+y=100 30+y=100 y=70 [70-30]+30+z =180 [asp] 40+30+z=180 z=180-70=110 hope u found this answer helpful if YES plz follow me |
|
| 22. |
The area of a parallelogram is 98 cm square and its altitude is twice the corresponding base. Find the altitude of the parallelogram. |
Answer»
Step-by-step explanation: We have been given AREA of a parallelogram is 98 cm SQUARE and its altitude is twice the corresponding base. Here, We know that Area of Parallelogram is Base × Altitude. By the Given Condition: ∴ Let us assume base of Parallelogram be x. Then,
Now, We have to find area of Parallelogram.
→ Area of Parallelogram = (x) × (2x) → 98 = 2x² → x² = 98/2 → x² = 49 → x = √49 → x = 7 cm Then, Altitude of Parallelogram =) 2x = 14 cm.
|
|
| 23. |
Construct a triangle ABC in which AB= BC= 6.8 cm and angle 70 degree |
| Answer» | |
| 24. |
(11)x2+5V5x+30 splitting the middle term |
|
Answer» kllllkjiuuuyhhjjiiuuuuy |
|
| 25. |
C. Complete the table.Length 15cm breadth 10 cm height 3 cm, then volume? |
|
Answer» Answer: Step-by-Step EXPLANATION : = 450 cm3 |
|
| 26. |
Which factors are not included in the prime factorisation of a composite num |
|
Answer» In prime FACTORIZATION, we only INCLUDE prime numbers. So, 1 and the NUMBER itself is not INCLUDED in it So Factors not included in factorization are 1 and Number itself |
|
| 27. |
Find all 0's of 2x cube+x square-6x-3 if 2 of it's 0's are -root3,root3. |
|
Answer» There are only TWO ZEROES in this question. Step-by-step explanation: 2x^3+x^2-6x+3 =(2x+1)(x^2-3) ZERO of 2x+1 is 2x+1=0 =>x=-1/2 Zero of x^2-3 is x^2-3=0 =>x=√3 |
|
| 28. |
List the pair of 5 quantities that vary directly and inversely and give 5 examples on both |
|
Answer» Answer: There are many quantities present in our deal life which have direct and inverse relation. The following relations are directly PROPORTIONAL 1) The number of family members are directly expenditures. 2) The number of FRUIT in kg directly proportional to PRICE of fruit. 3) The number of selling products directly proportional to profit. 4) The distance covered by body directly proportional to speed of body 5) The acceleration produce in car directly proportional to change in velocity 6) The INCOME is directly proportional to working hours. 7) The cost of electrical bill directly proportional to number of fans running in the house. 8) The quantity of water fill in tank is directly to time for which the motor is switch on. 9) The marks in study is directly proportional to hardworking. 10) The bank balance is directly proportional to amount of saving. The following relations are inverse proportional 1) The bank balance is inversely proportional to expenditures. 2) The number of family members (which not work) are inversely proportional to amount of saving. 3) The working DAYS required to complete the work are inversely proportional to number of labors. 4) The velocity of body is inversely proportional to time. 5) The acceleration is inversely proportional to time. 6) The acceleration of body is inversely proportional to mass of body. 7) The number of student fail in the class is inversely proportional to number of qualify teachers and hardworking. 8) The battery power is inversely proportional to time for which it used. 9) The ability of do work hard is inversely proportional to age of man after youngness to onward. 10) The number of mistake in work is inversely proportional to practice.
|
|
| 29. |
If a= 2+√3 find the value of a-1/a |
|
Answer» Step-by-step EXPLANATION:
|
|
| 30. |
The unit vector parallel to the resultant of vectors a=4i+3j+6k and b=-i+3j-8k |
|
Answer» Answer: (5i+6j-2k)÷√65 Step-by-step EXPLANATION: FIRST we have to find the resulting vector Resulting vector =a+b =(4i+3j+6k)+(i+3j-8k) =5i+6j-2k UNIT vector =given vector ÷(its MAGNITUDE) Magnitude=√x^2 +y^2 +z^2 Implies magnitude is√25+36+4 Which is√65 Therefore unit vector is (5i+6j-2k)÷√65 |
|
| 31. |
Evaluate without multiplying directly ( 1.) 49 multiply 48. (2.) 1005 multiply by 995 |
|
Answer» 2 answer 999975 Step-by-step explanation: 1005 ×995=1000+5×1000_5and can be SOLVED by USING a+b ×a_b=a^2_b^2=1000^2_5^2=999975 |
|
| 32. |
Show how root 2, root 3, root 5, root 8, can be represented in singlebnumber line |
|
Answer» Answer: Step-by-step explanation: To represent 3–√on the NUMBER line, first of all we have to represent 2–√ on the number line. The procedure for the representation of 2–√ will be same in the previous EXAMPLE. So, let’s start from there only. The steps further followed will be as: Step I: Now we need to construct a line which is perpendicular to line AB from point A such that this new line has unity length and let’s name the new line as AE. Step II: Now JOIN (C) and (E). The length of line CE could be found out by using Pythagoras theorem in right angled triangle EAC. So; AE2 + AC2 = EC2 ⟹ EC2 = 12 + (2–√)2 ⟹ EC2 = 1 + 2 ⟹ EC2 = 3 ⟹ EC = 3–√ So the length of EC line is found to be 3–√ units. Step III: Now, with (C) as center and EC as the radius of circle CUT an arc on the number line and mark the point as F. Since, OE is the radius of the arc, hence OF will also be the radius of the arc and will have the same length as that of OE. So, OF = 3–√ units. Hence, F will represent 3–√ on the number line. Similarly, we can represent any rational number on the number line. plz mark as brainliest |
|
| 33. |
If the selling price of 16 watches is equal to the cost price of 17 watches find the gain percent |
Answer» SOLUTIONGIVEN The selling PRICE of 16 WATCHES is equal to the cost price of 17 watches TO DETERMINE The gain percentage EVALUATION Let price of each watch = x So cost price = 16x Selling price = 17x Gain amount = 17x - 16x = x So the required gain percentage ━━━━━━━━━━━━━━━━ Learn more from Brainly :- 1. Amir expects a gain of 24% on his cost price. If in a week, his sale was of Rs. 620, what was his profit? 2. By selling an article for Rs 50 a shopkeeper gains Rs 10.His gain PERCENT is_______ |
|
| 34. |
If X + 2Y=8 and XY=2; find the value of x^2+ 4 y^2 |
|
Answer» Answer: Step-by-step explanation: Solve this using the FORMULA (a+b)^2=a^2+b^2+2ab LET a be x And let b be 2Y (x+2y)^2 =x^2+(2y) ^2+2*x*2y 8^2= x^2+4y^2+4*2 x^2+4y^2=64-8 =56 |
|
| 35. |
each sweet in a packet weighs 0.684 grams there are 13 sweets in a packet what is the total weight of of sweets in packet |
|
Answer» Answer: 8.892 Step-by-step explanation: 13×0.684=8.892 weight of 1 sweet× total no. of SWEETS |
|
| 36. |
An aeroplane covers 1486 km in 1 hour. How much will it cover in 72 hours |
|
Answer» Answer: 106992 is your answer HOPE THIS HELPS YOU MARK ME AS BRAINLIEST |
|
| 37. |
Roster form of { x € N : x = 2n, n € N } |
|
Answer» Step-by-step explanation: The given SET in listing method will be {2, 4, 6, 8, 10, 12,........... } As n € N Therefore it is a set of infinite natural numbers.. |
|
| 38. |
If the probability of losing is 0.3What is the probability of winning? |
|
Answer» The answer is : 99.7 99.7 99.7 HOPE THIS HELPS YOU MARK ME AS BRAINLIEST |
|
| 39. |
To find equivalent fraction,we may |
|
Answer» to find equivalent FRACTIONS we can MULTIPLY DENOMINATOR and NUMERATOR with same number. |
|
| 40. |
If the arithmetic mean is 25 and the harmonic mean is 15 then the geometric mean is |
|
Answer» Step-by-step EXPLANATION: .... |
|
| 41. |
If the hcf of 408 and 1032 is expressible in the form of 1032m 408n, find the value of m and n. |
| Answer» | |
| 42. |
1. Find 5 pairs of integers whose product is (-100).1. Find 5 pairs of integers whose quotient is (-3).III. Arrange only 4 odd numbers such that the result is 3 |
|
Answer» Answer: 1) (-20,5);(20,-5);(100,-1);(1,-100);(50,-2);(2,-50) 1) (15,-5);(30,-10);(60,-20);(120,-40);(240,-80) III) -3,-1,1,3 Step-by-step EXPLANATION: nothing EXPLAIN for it |
|
| 43. |
If 1st jan 2019 is monday, with reference to 1st jan 2019 what will be 9th april 2029 |
|
Answer» Step-by-step EXPLANATION: It will be TUESDAY on 9 APRIL 2029. But I am not SURE. |
|
| 44. |
Sandeep has twice as much money as Sonia. Together they have Rupees 150 how much money does Sonia have |
|
Answer» Answer: 50 Step-by-step explanation: let the MONEY of sandeep be 2x and money of sonia be x ATTQ: 2x + x =150 3X = 150 x= 150/3 x = 50 ans = sandeep's PART = 2x = 2*50 =100 sonia's part = x = 50 |
|
| 45. |
Find a quadratic polynomial with integral coefficients having both sum and product of roots= 4.5 |
|
Answer» 2x² -9x+9 is the required polynomial. Step-by-step explanation: Given : Sum of root of the QUADRATIC = 4.5 Product of roots of the quadratic = 4.5 General form of a quadratic equation = x² - (sum of the roots)×x + product of roots = x² -4.5x +4.5 Since the quadratic has integral COEFFICIENT we can MULTIPLY the total quadratic by 10 Therefore the quadratic with integral coefficient=10x² -45x+45 Simplifying the equation we GET = 2x² -9x+9 |
|
| 46. |
A hand-sized computer |
|
Answer» what we have to do in this |
|
| 47. |
Complete the prize ribbons |
Answer» Answer has given below.Step-by-step EXPLANATION: Write in words INSIDE the CIRCLES in the prize ribbons. Like it has already WRITTEN in 1st ribbon. 2 - 2nd 3 - 3rd 4 - 4th 5 - 5th 6 - 6th 7 - 7th 8 - 8th 9 - 9th 10 - 10th Hence, the ACTIVITY is done. |
|
| 48. |
Factorise 1). (16y^2-1)+(1-4y)^2 2). a^3 -2 root 2 b^3 |
|
Answer» Step-by-step explanation: 2) a^3 - 2√2b^3 = (a)^3 - (√2b)^3 = (a - √2b) [ (a)^2 + (a)(√2b) + (√2b)^2] = (a - √2b) (a^2 + √2ab + 2b^2) |
|
| 49. |
Which digits have the same place value and face value in 76085493 |
|
Answer» Answer: Step-by-step EXPLANATION: |
|
| 50. |
1. How many ice cubes with 2 cm side can be put in an ice box whose dimare 4 cm x 4 cm x 4 cm?(a) 2(b) 4(c) 8o (d) 162. Box 'A' measures 6 cm by 6 cm by 7 cm and Box 'B' measures 10 cm by 6 cm by4 cm. Which has greater volume?(a) Box B(b) Both have same volume(d) Box A has double the volume than Box B U(c) Box A |
|
Answer» 1 ( B ) 4 |
|