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- Question
If in the following set of numbers, the first and the third digits are interchanged in each number, which number will be second from the end if arranged in ascending order after interchanging the digits ? 585 546 514 404 206 369
Options- A. 404
- B. 585
- C. 415
- D. 602
- Correct Answer
- 415
ExplanationGiven numbers are 585 546 514 404 206 369
Then interchanging the 1st and 3rd digits of the given numbers, we get
585 645 415 404 602 963
Now, arranging them in ascending order
963 645 602 585 415 404
Then the last second number is 415. - 1. If (p/q)n - 1 = (q/p)n - 3, then the value of n is
Options- A. 1/2
- B. 7/2
- C. 1
- D. 2 Discuss
- 2. Which of the following statements is true?
Options- A. Every subset of a finite set is finite.
- B. Every subset of an infinite set is infinite.
- C. Every subset of an infinite set is finite.
- D. A proper subset of a finite set is equivalent to the set itself. Discuss
- 3. A bill which being due at the end of 4 years is now worth $ 575, but if it is due in 2 years 6 months, it would now be worth $ 620. The sum of the bill is :
Options- A. $ 695
- B. $ 725
- C. $ 713
- D. None of these Discuss
- 4. If the numerator of a fraction is increased by 200% and the denominator is increased by 200% then resultant fraction is 14/5.What is the original fraction?
Options- A. 4/7
- B. 13/12
- C. 11/12
- D. None of these Discuss
- 5. Which of the following sets is finite?
Options- A. I = { x : x ? Z and x2 ? 2x ? 3 = 0 }
- B. B = The set of natural numbers which are divisible by 2
- C. C = The set of lines passing through a point.
- D. D = { x : x ? Z and x > - 5 } Discuss
- 6. A shopkeeper allows a discount of 10% to his customers and still gains 20%, the marked price of the article which costs ? 450, is
Options- A. ? 600
- B. ? 540
- C. ? 660
- D. ? 580 Discuss
- 7. Which of the following sets is finite?
Options- A. The set of the months of a year
- B. {1, 2, 3,?}
- C. {1, 2, 3,? 90, 100}
- D. The set of lines which are parallel to x-axis Discuss
- 8. A man bought an article listed at ? 1500 with a discount of 20 % offered on the list price . What additional discount must be offered to the man to bring the net price to ? 1104?
Options- A. 8 %
- B. 10 %
- C. 12 %
- D. 15 % Discuss
- 9. In an examination, it is required to get 296 marks out of aggregate marks to pass. A students gets 222 marks and is declared failed by 10% marks . What are the maximum aggregate marks a students can get?
Options- A. 830
- B. 810
- C. 780
- D. 740 Discuss
- 10. 840.003 ÷ 23.999 =?
Options- A. 47
- B. 8
- C. 35
- D. 18 Discuss
More questions
Correct Answer: 2
Explanation:
Given equation is below
(p/q)n - 1 = (q/p)n - 3
Apply the law of Fractional Exponents and Laws of Exponents
a - m = 1/a m
or
am = 1/a - m
(p/q)n - 1 = (q) - (n - 3) x 1/ (p) - (n - 3)
(p/q)n - 1 = (p) 3 - n x 1/ (q) 3 - n
(p/q)n - 1 = (p/q) 3 - n
if pX = pY then X will be equal to Y. means X = Y;
? n - 1 = 3 - n
? 2n = 4
? n = 2
Correct Answer: Every subset of a finite set is finite.
Explanation:
NA
Correct Answer: $ 713
Explanation:
Correct Answer: None of these
Explanation:
Let us assume the original fraction be x/y.
According to question,
200x/100 / 200y/100 = 14/5
2x/2y = 14/5
?x/y = 14/5
Correct Answer: I = { x : x ? Z and x2 ? 2x ? 3 = 0 }
Explanation:
(a) A = { x : x ? Z and x2 ? 2x ? 3 = 0} = {3, -1}.
? A is a finite set.
(b) B = The set of natural numbers divisible by 2 = { 2, 4, 6, 8, 10,?}.
? B is an infinite set.
(c) Since infinite number of lines pass through a point, C is an infinite set.
(d) D = { -4, -3, -2,?}. Clearly D is an infinite set.
Correct Answer: ? 600
Explanation:
Here, r = 10% and R = 20%
? Required per cent = (r + R)/(100 - r) x 100 %
= [(10 + 20)/(100 - 10)] x 100% = (30 x 100)/90 %
This shows that the marked price of the item is 100/3 % more
than its cost price.
? Marked price of the article = (450 x 400)/300
= ? 600
Correct Answer: The set of the months of a year
Explanation:
NA
Correct Answer: 8 %
Explanation:
? Listed price of an article = ? 1500
? Price after first discount
= 1500 x (1 -20/100) = 1500 x 4/5 = ? 1200
Now, second discount = 1200 - 1104 = ? 96
Hence, required percentage = (96/1200) x 100 % = 8 %
Correct Answer: 740
Explanation:
Let the maximum aggregate marks be N
According to the question,
10% of N = 296 - 222
? N/10 = 74
? N = (74 x 10) = 740
Correct Answer: 35
Explanation:
? = 840.003 ÷ 23.999
Here one number is increased and other is decreased to their nearest whole number
= 840 ÷ 24 = 35
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