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. |
6. The US spends on average 9000 dollars on each student per year. There are about 77,000,000 students in the United States. About how much money total is spent on students each year.Represent the answer in scientific notation |
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Answer» ong>Answer: The money SPEND by usa for STUDENT are : 9000 dollar × 77000000 = 6930 CRORE dollar |
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| 2. |
Area of rectangular plot with sides 4y2 and 3y2 is |
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Answer» ONG>Answer: 12y^2 Step-by-step explanation: l = 4y^2, B= 3y^2 =4y^2 x 3y^2 = 12y^2 |
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| 3. |
Subtract (3x²+2x) from (7x²+5x) |
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Answer» ONG>Answer: 7x2+5x-3x2-2x 4x2+3x |
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| 5. |
The difference between two whole numbers is 42. The ratio of the number is 3:5. What is the smallest number |
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Answer» ong>Answer: then, 5x - 3x = 42 2x = 42 x = 21 Smallest number = 3x = 3× 21 = 63 |
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| 7. |
The perimeter of a triangle whose sides are 2cm ,3cm ,4cm,is |
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Answer» ONG>Step-by-step explanation: perimeter of triangle is SIDE + side + side = 2 cm + 3 cm + 4 cm = 9 cm |
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| 9. |
The perimeter of a rectangle whose length &breath 2 cm and 3cm is |
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Answer» ONG>Answer:P> Step-by-step EXPLANATION: p= 2(l+b) = 2(2+3) =2(5) =10 |
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| 10. |
The area of a rectangle is ar x power 2+12xy + 27y ² and itsits length x+9yFind its Breadth |
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Answer» ong>Answer: Step-by-step explanation: Area of a rectangle = X2 + 12XY + 27y2 Length = (x + 9y) BREADTH = ? Refer to the attachment. Hope this helps you. |
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| 11. |
2 minutes is percentage to an hour |
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Answer» ONG>Answer: 3.33% Step-by-step explanation: 1 hour=60 MINUTES. = 200/60 = 20/6 = 3.333 =3.33% |
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| 12. |
.We need 20 Kg of rice to serve 100 people. How much rice would be needed for 40 people? |
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Answer» ong>Step-by-step explanation: 20/40=2 |
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| 13. |
(3a+4b)²Expand this |
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Answer» Step-by-step EXPLANATION: |
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| 14. |
Draw a line m. Draw a perpendicular to m at, any point on m. On this perpendicular choose a point X, 4 cm away from m.Draw a line n parallel to m through X. please help me!!!!!!! |
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Answer» ong>Answer:P> To construct: A line parallel to GIVEN line that when perpendicular line is also given. Steps of construction: (a) DRAW a line l and take a point P on it. (b) At point P, draw a perpendicular line n (c) Take PX=4cm on line n (d) At point X, again draw a perpendicular line m It is required construction. |
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| 15. |
What do you mean by spamming?pls any body answer :-)! |
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Answer» ITE RELEASE by mistake it can be WRITTEN as realise. i am sad bye. :-( |
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| 16. |
D x for x:6::55:11. 9.We need 20 Kg of rice to serve 100 people. How much rice would be needed for 40 people? |
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Answer» 1 people=20/100 40 People=20/100×40 =50 Kg rice It is answer Hope its HELP you |
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| 17. |
Perimeter of a square each of whose sides are 4cm ,16 cm and 'x' m is 28m,then x = |
| Answer» ONG>ANSWER: | |
| 18. |
Find the circumference of circle whose radius 3.5cm |
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Answer» ong>ANSWER: Given radius =3.5 CM We know that, Circumference of the circle is C=2πr =(2×22/7×3.5) =(21×22/7) =22 cm Thus, the circumference of the circle is 22 cm |
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| 19. |
72% of 25 students are good in maths. How many students are good in maths? |
| Answer» ONG>Answer: | |
| 20. |
Change 13 hours to minutes with steps |
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Answer» ong>Answer: 780 minutes Step-by-step explanation: 1 HOUR = 60 minutes 13 HOURS = (?) By UNITARY method 13*60/1 780 minutes. |
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| 21. |
Find the area of these shaded figures |
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Answer» ong>Answer: In area of a trapezium we will discuss about the formula and the solved examples in area of a trapezium. Trapezium: A trapezium is a quadrilateral having one pair of parallel opposite sides. In the given figure, ABCD is a trapezium in which AB ∥ DC.
Area of a Trapezium: Let ABCD be a trapezium in which AB ∥ DC, CE ⊥ AB, DF ⊥ AB and CE = DF = h.
Prove that:
Area of a trapezium ABCD = {¹/₂ × (AB + DC) × h} square units.
Proof: Area of a trapezium ABCD
= area (∆DFA) + area (rectangle DFEC) + area (∆CEB)
= (¹/₂ × AF × DF) + (FE × DF) + (¹/₂ × EB × CE)
= (¹/₂ × AF × h) + (FE × h) + (¹/₂ × EB × h)
= ¹/₂ × h × (AF + 2FE + EB)
= ¹/₂ × h × (AF + FE + EB + FE)
= ¹/₂ × h × (AB + FE)
= ¹/₂ × h × (AB + DC) square units.
= ¹/₂ × (sum of parallel sides) × (distance between them)
Formula of Area of a trapezium = ¹/₂ × (sum of parallel sides) × (distance between them)
Solved Examples of Area of a Trapezium 1. Two parallel sides of a trapezium are of lengths 27 cm and 19 cm respectively, and the distance between them is 14 cm. Find the area of the trapezium.
Solution:
Area of the trapezium
= ¹/₂ × (sum of parallel sides) × (distance between them)
= {¹/₂ × (27 + 19) × 14} cm²
= 322 cm²
2. The area of a trapezium is 352 cm² and the distance between its parallel sides is 16 cm. If one of the parallel sides is of LENGTH 25 cm, find the length of the other.
Solution:
Let the length of the required side be x cm.
Then, area of the trapezium = {¹/₂ × (25 + x) × 16} cm²
= (200 + 8x) cm².
But, the area of the trapezium = 352 cm² (given)
Therefore, 200 + 8x = 352
⇒ 8x = (352 - 200)
⇒ 8x = 152
⇒ x = (152/8)
⇒ x = 19.
Hence, the length of the other side is 19 cm.
3. The parallel sides of a trapezium are 25 cm and 13 cm; its nonparallel sides are equal, each being 10 cm. Find the area of the trapezium.
Solution:
Let ABCD be the given trapezium in which AB = 25 cm, DC = 13 cm, BC = 10 cm and AD = 10 cm.
Through C, draw CE ∥ AD, MEETING AB at E.
Also, draw CF ⊥ AB.
Now, EB = (AB - AE) = (AB - DC)
= (25 - 13) cm = 12 cm;
CE = AD = 10 cm; AE = DC = 13 cm.
Now, in ∆EBC, we have CE = BC = 10 cm.
So, it is an isosceles triangle.
Also, CF ⊥ AB
So, F is the midpoint of EB.
Therefore, EF = ¹/₂ × EB = 6cm.
Thus, in right-angled ∆CFE, we have CE = 10 cm, EF = 6 cm.
By Pythagoras’ theorem, we have
CF = [√CE² - EF²]
= √(10² - 6²)
= √64
= √(8 × 8)
= 8 cm.
Thus, the distance between the parallel sides is 8 cm.
Area of trapezium ABCD = ¹/₂ × (sum of parallel sides) × (distance between them)
= {¹/₂ × (25 + 13) × 8 cm²
= 152 cm²
4. ABCD is a trapezium in which AB ∥ DC, AB = 78 cm, CD = 52 cm, AD = 28 cm and BC = 30 cm. Find the area of the trapezium.
Solution:
Draw CE ∥ AD and CF ⊥ AB.
Now, EB = (AB - AE) = (AB - DC) = (78 - 52) cm = 26 cm,
CE = AD = 28 cm and BC = 30 cm.
Now, in ∆CEB, we have
S = ¹/₂ (28 + 26 + 30) cm = 42 cm.
(s - a) = (42 - 28) cm = 14 cm,
(s - b) = (42 - 26) cm = 16 cm, and
(s - c) = (42 - 30) cm = 12 cm.
area of ∆CEB = √{s(s - a)(s - b)(s - c)}
= √(42 × 14 × 16 × 12) cm²
= 336 cm²
Also, area of ∆CEB = ¹/₂ × EB × CF
= (¹/₂ × 26 × CF) cm²
= (13 × CF) cm²
Therefore, 13 × CF = 336
⇒ CF = 336/13 cm
Area of a trapezium ABCD
= {¹/₂ × (AB + CD) × CF} square units
= {¹/₂ × (78 + 52) × ³³⁶/₁₃} cm²
= 1680 cm² Step-by-step explanation: |
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| 22. |
How will you Express Fraction 2/25 In Decimal Fraction? |
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Answer» ONG>Answer: 2/25×4=8/100, and- 0.08 plz MARK me as BRAINLIEST |
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| 24. |
Find the HCF of 18,27,36 |
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Answer» ong>Answer: 9 Step-by-step explanation: Factors of 27 are 9 and 3 Factors of 36 are 9 and 4 So the common factor is 9.
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| 26. |
-8/25 by -5/16 please answer the question of the following question |
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Answer» ONG>Answer: Answer is 1/10 Hope it HELPS you |
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| 27. |
Write any two criteria for congruence of triangles. 2 pointsside and angleside and areaside and pertimeterangle and perimeter |
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Answer» ong>Answer: side and angle Step-by-step explanation: 1. SAS (Side-Angle-Side): If two pairs of sides of two triangles are equal in length, and the INCLUDED ANGLES are equal in MEASUREMENT, then the triangles are congruent. 2. SSS (Side-Side-Side): If three pairs of sides of two triangles are equal in length, then the triangles are congruen |
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| 29. |
Find Circumference and area of a circle whose diameter is 14 cm |
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Answer» ONG>Step-by-step EXPLANATION: C=2πr d=2r Solving forC C=πd=π·14≈43.9823cm C≈43.98cm |
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| 30. |
If PQ-QP =63 and P+Q=11 the find the value of P and Q |
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Answer» ONG>Answer: If P = 7, Q= 4, then 7+4 = 11 (SATISFIES 2nd EQ) and 74 – 47 = 27 ( it satisfies 2nd eq as well)
Therfore the values of P & Q are 7 and 4 RESPECTIVELY.. |
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| 31. |
Perimeter of a square each of whose side is 2cm is |
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Answer» ong>ANSWER: perimeter will be 8 Step-by-step EXPLANATION: HOPE answer will help you |
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| 33. |
20) The like term to -6abc isA15bcB12cbdC 2abcD 55ab |
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Answer» ong>ANSWER: |
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| 34. |
If circumference of circle is 154 find its radius and area with full method |
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Answer» ong>Answer: 24.50986 Step-by-step explanation: Using the FORMULA : C=2πr Solving for 'r' r=C 2π=154 2·π≈24.50986 |
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| 35. |
Find the product (a2) x (2a22) x (4a6) plz answer fast |
| Answer» ONG>Answer: | |
| 37. |
8. The reciprocal of 53/17 is. 9. Find the perimeter of the measurements 8 m +4 m + 5 m + 4 m10. The------ is the measure of the Surface occupied by a closed figure . |
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Answer» ONG>Answer: the RECIPROCAL is 17/53 21m is the perimeter |
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| 38. |
256÷5 divide this fol |
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Answer» ONG>Answer: 51.2 Step-by-step explanation: 256/5 =51.2 Hope, it is HELPFUL to you. |
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| 39. |
3+ (4×5) solvethis guys plz |
| Answer» ONG>Step-by-step EXPLANATION: | |
| 40. |
What should be added to thrice in rational number -5/3 to get 4/7 |
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Answer» ONG>ANSWER: hdetukjgfvmou Step-by-step EXPLANATION: nhdfuhcnkjgdwthfxnki |
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| 41. |
The length of its boundary of a closed plane figure is called |
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Answer» ong>ANSWER: Perimeter the LENGTH of the boundary of a CLOSED figure is known as it's perimeter. Step-by-step explanation: please mark me BRAINLIEST |
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| 42. |
We need 20 Kg of rice to serve 100 people. How much rice would be needed for 40 people? |
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Answer» ONG>Answer: 100/20=40/x 100x=800 x=800/100 |
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| 43. |
How many faces and vertical having a cone |
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Answer» ong>ANSWER: figure Name cone Number of FACES 1 Number of VERTICES 0 |
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| 44. |
Fraction add 4/5+1/10please help |
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Answer» ONG>Answer: 9/10 Step-by-step explanation: 4/5+1/10 =8/10+1/10 =9/10 |
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| 46. |
19) The constant term in thealgebraic expression 1 - X + 4x is |
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Answer» ONG>Answer: 1 is the CONSTANT TERM in this EXPRESSION |
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| 47. |
6x2y2z2 / 12xyz answer me with the steps |
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Answer» ONG>ANSWER: Step-by-step EXPLANATION: (6x2y2z2)/12xyz 2(3XYZ)/12xyz 3xyz/6xyz 1/2 |
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| 48. |
. 50 cards numbered from 1 to 50 are kept face down on a table. What is the chance of drawing out a card which is a multiple of 3? |
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Answer» ong>Answer: SOLUTIONHere, ∵ It is said that there are 50 cards , Total number of outcomes = 50. Here , We have to find the probability of getting a multiple of 3 when a card is drawn from cards numbered from 1 to 50. Multiples of 3 between 1 to 50 are :- 3,6,9,12,15,18,21,24,27,30,33,36,39,42,45 and 48. ∴ Number of favorable outcomes = 16 So, |
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| 49. |
2x34x43x32Answermaths |
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Answer» ONG>ANSWER: 2×34×4×3×32 Step-by-step EXPLANATION: THE ANSWER IS26,112 |
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| 50. |
Find the radius and diameter of a circle puddle whose circumference is 220cm |
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Answer» ONG>Answer: SORRY DEAR friend I don't know Step-by-step explanation: please MARK me BRAINLIEST |
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