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- Question
- (16)9 ÷ (16)4 x (16)3 = (16)?
Options- A. 6.75
- B. 8
- C. 10
- D. 12
- Correct Answer
- 8
ExplanationGiven that ,(16)9 ÷ (16)4 x (16) 3 = (16)?
Apply the law of Fractional Exponents and Laws of Exponents
(am) x (an) = am + n-------------------1
am ÷ an = am ? n----------------2
? (16)9 ÷ (16)4 x (16) 3 = (16)?
? (16)? = (16)9 + 3 - 4
? ? = 12 - 4 = 8 - 1. X, Y are the mid-points of opposite sides AB and DC of a parallelogram ABCD. AY and DX are joined intersecting in P; CX and BY are joined intersecting in Q. Then PXQY is a :
Options- A. Rectangle
- B. Rhombus
- C. Parallelogram
- D. Square Discuss
- 2. 1559.999 ÷ 24.001 + 11.005 x 6.999 =?
Options- A. 137
- B. 132
- C. 152
- D. 142 Discuss
- 3. 5 x 0.25 x 6.301 x 0.00394=?
Options- A. 0.0310324220
- B. 0.0310324210
- C. 0.0310324250
- D. None of these Discuss
- 4. Area of the triangle formed by the graph of the line 2x ? 3y + 6 = 0 along with the coordinate axes is:
Options- A. 1 sq. units 2
- B. 3 sq. units 2
- C. 3 sq. units
- D. 6 sq. units Discuss
- 5. In a game of 250 points A can give B 50 points and C 70 points. In the same game how many points can B give C?
Options- A. 18 points
- B. 20 points
- C. 22 points
- D. 25 points Discuss
- 6. The number of prime numbers between 0 and 50 is
Options- A. 13
- B. 14
- C. 15
- D. 16 Discuss
- 7. The sum of the digits of a two digit number is 10, when the number is reversed, the number increases by 72.Find the number.
Options- A. 64
- B. 82
- C. 19
- D. 37 Discuss
- 8. 15 liters of a mixture contains 20 % alcohol and the rest water. If 3 liters of water be mixed in it, the % of alcohol in the new mixture will be ?
Options- A. 17
- B. 16 2 3
- C. 18 1 2
- D. 15 Discuss
- 9. A dishonest milkman professes to sell his milk at C. P. But he mixes it with water and thereby gains 25 %. The % of water in the mixture is ?
Options- A. 25%
- B. 20%
- C. 4%
- D. None of these Discuss
- 10. Jagran group launched a new magazine in January 2004. The group printed 10000 copies initially for Rs. 50000. It distributed 20% of its stock freely as specimen copy and 25% of the rest magazine are sold at 25% discount and rest at 16.66% discount whose printing price was Rs.12 per copy. What is the overall gain or loss in the first month's issue of magazine, if the magazine could not realize the income from advertisements or other resources?
Options- A. 56% profit
- B. 27% loss
- C. 16.66% profit
- D. 38% profit Discuss
More questions
Correct Answer: Parallelogram
Explanation:
From above given figure ,
Proceeding as in Q. No. 4, we can prove that AXCY is a parallelogram .
Similarly, BXDY is a parallelogram.
Now, AXCY is a parallelogram .
? AY || CX
[? Opposite sides of a parallelogram are parallel]
? PY || QX ?(1)
Also, BXDY is a parallelogram
? DX || BY [? Opposite sides of a parallelogram are parallel]
? PX || QY ?(2)
Thus, in a quadrilateral PXQY,
From (i) and (ii) ,
we have , PY || QX and PX || QY
? PXQY is a parallelogram.
Correct Answer: 142
Explanation:
1559.999 ÷ 24.001 + 11.005 x 6.999 = ?
? ? ? 1560 ÷ 24 + 11 x 7
= 65 + 77 = 142
Correct Answer: 0.0310324250
Explanation:
Here 5 x 25 x 6301 x 394=310324250
Total decimal places = (2+3+5) = 10
? 5 x 0.25 x 6.301 x 0.00394 = 0.0310324250
Correct Answer: 3 sq. units
Explanation:
Correct Answer: 25 points
Explanation:
In a game of 250 points, A scores 250 then B scores 200 points and C scores 180.
? B scores 250 points while C scores 180 x 250 / 200 = 225 points
Hence, in a game of 250 points B can give C (250 ? 225) = 25 points
Correct Answer: 15
Explanation:
prime numbers between 0 and 50 are 2 3 5 7 11 13 17 19 23 29 31 37 41 43 and 47
? required number of prime number is 15
Correct Answer: 19
Explanation:
By checking options
91-19=72
Or
Let the number be xy
So 10x + y = 10 ..... (i)
When the number is reversed the new number is yx
So (10y + 10 ) - ( 10x +y ) = 72 ....(ii)
From Eqs. (i) & (ii)
x = 1 and y =9
?number = 19
Correct Answer: 16 2 3
Explanation:
Correct Answer: 20%
Explanation:
Correct Answer: 56% profit
Explanation:
Total cost = Rs. 50,000
Total sale price (or revenue) = (2000 x 9) + (6000 x 10) = 78,000
Profit (%) = [ 28000 / 50000 ] x 100
= 56%
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