Discussion
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- Question
- If a = ?3/2, then ?1 + a + ?1 - a =?
Options- A. (2- ?3)
- B. (2 + ?3)
- C. ?3/2
- D. ?3
- Correct Answer
- ?3
ExplanationLet us assume
P = ?1 + a + ?1 - a
Square on both side,
P 2 = ( ?1 + a + ?1 - a ) 2
Use the formula ( a + b ) 2 = a 2 + b 2 + 2ab
we will get
? P 2 = (1 + a) + (1- a) + 2 ?1 + a x ?1 - a
? P 2 = (1 + a) + (1- a) + 2 ?(1 + a ) x ( 1 - a )
? P 2 = 2 + 2 ?1 - a2
? P 2 = 2 (1 + ?1 - a2)
Now put the value of a which is given in question;
? P 2 = 2 (1 + ?1 - ( ?3/2 )2)
? P 2 = 2(1 + ?1 - 3/4 )
? P 2 = 2(1 + ?1/4 )
? P 2 = 2(1 + 1/2) = 2 x 3/2 = 3
? P= ?3
? (?1 + a + ?1 - a) = ?3 - 1. How many numbers between -11 and 11 are multiple of 2 or 3
Options- A. 11
- B. 14
- C. 15
- D. None of these Discuss
- 2. A number is greater than the square of 44 but smaller than the square of 45. If one part of the number is the square of 6 and the number is a multiple of 5, then find the number.?
Options- A. 1940
- B. 2080
- C. 1980
- D. Cannot be determined Discuss
- 3. In a 1000 m race A beats B by 100 m and C by 200 m. By how much can B beats C in a race of 1350 m?
Options- A. 125 m
- B. 130 m
- C. 140 m
- D. 150 m Discuss
- 4. In a simultaneous throw of two coins, the probability of getting at least one head is?
Options- A. 1/2
- B. 2/3
- C. 3/4
- D. 1/3 Discuss
- 5. In an equilateral ? ABC, if AD ? BC, then which option is true?
Options- A. 3AB2 = 2AD2
- B. 2AB2 = 3AD2
- C. 3AB2 = 4AD2
- D. 4AB2 = 3AD2 Discuss
- 6. The value of 25 log 5 4 is?
Options- A. 16
- B. 5
- C. 25
- D. None of these Discuss
- 7. If area of a square is 64 sq cm, then find the area of the circle formed by the same perimeter.
Options- A. 215/? sq cm
- B. 216/? sq cm
- C. 256/? sq cm
- D. 318/? sq cm Discuss
- 8. A can contains a mixture of 2 liquids A and B in proportion 7 : 5 when 9 liters of mixture are drawn off and the can is filled with B, the proportion of A and B becomes 7 : 9. How many liters of liquid A was contained by the can initially?
Options- A. 25
- B. 10
- C. 20
- D. 21 Discuss
- 9. If 5 5-x = 2 x-5, find the value of x .?
Options- A. 5
- B. 0
- C. 1
- D. Can't be determined Discuss
- 10. If the HCF of m and n is 1, then what are the HCF of m + n, m and HCF of m - n, n, respectively (where, m > n)?
Options- A. 2 and 1
- B. 1 and 1
- C. 1 and 2
- D. Cannot be determined Discuss
More questions
Correct Answer: 15
Explanation:
Number between 0 and 11 which are multiple of 2 or 3
= 11/2 + 11/3 - 11/6 = 5 + 3 - 1
= 7
Number between 0 and -11 which are multiple of 2 or 3
= 11/2 + 11/3 - 11/6 = 5 + 3 - 1
= 7
? Number be 15, including 0
Correct Answer: 1980
Explanation:
Let the number be x.
442 < x < 452
? 1936 < x < 2025 ...(i)
From equation (i), the required number will be any number between 1936 and 2025. Since one part of the number is the square of 6 means one factor is 36.
? L, C, M of 36 and 5 = 180
? Number will be multiple of 180 i,e.,
180 x 11 = 1980 the only value which satisfies the equation (i).
Correct Answer: 150 m
Explanation:
If A run 1000 meters then B runs 900 meters and C runs 800 meters.
? B runs 1350 meters while C will run 800 * 1350/ 900 = 1200 meters
Hence, B can beat C by (1350 ? 1200) = 150 m
Correct Answer: 3/4
Explanation:
S = {HH, HT, TT, TH}
and E = {HH, HT, TH }
? P(E) = n(E)/n(S) = 3/4
Correct Answer: 3AB2 = 4AD2
Explanation:
Correct Answer: 16
Explanation:
Exp. = 25 log54 = 52 log54
= 5 log5 42
= 16
Correct Answer: 256/? sq cm
Explanation:
Area of square = 64 sq cm
(Side)2 = 64
? Side = ?64 = 8 cm
According to the question,
? 2?r = 4 x 8
? r = (4 x 8)/2?
? r = 16/?
? Area of the circle
= ? x (16/?) x (16/?) sq cm
= 256/? sq cm.
Correct Answer: 21
Explanation:
Correct Answer: 5
Explanation:
? 55-x = 2x-5
? 55-x = 2-(5-x)
? (5-x)log 5 = -(5-x)log 2
? (5-x)log 5 + (5-x)log 2 = 0
? (5-x){log 5 + log 2 } = 0
? (5-x){log10/2 + log 2 } = 0
? (5-x){log10 - log 2 + log 2} = 0
? 5-x = 0
? x = 5
Correct Answer: 1 and 1
Explanation:
The HCF of m and n is 1, so m and n are prime number.
Let m = 7 and n = 5 ? m + n = 12
HCF of(m + n)and m = HCF of 12 and 7 = 1
Similarly, HCF of (m - n) and n = 1
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