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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. The difference between the local value and the face value of 7 in the numeral 32675149 is
Options- A. 75142
- B. 64851
- C. 5149
- D. 69993
- E. None of these Discuss
- 2. A can give B 50 m start and C 80 m start in the 1000 m race, how many metres start B give C in a 1000 m race?
Options- A. 31 m
- B. 3111?19 m
- C. 312?19 m
- D. 3011?19 m Discuss
- 3. If log a 3 = 1/3, then value of a is?
Options- A. 27
- B. 81
- C. 72
- D. None of these Discuss
- 4. If P and Q are the mid points of the sides CA and GB respectively of a triangle ABC, right-angled at C. Then the value of 4 ( AQ 2 + BP 2) is equal to :
Options- A. 4 BC2
- B. 5 AB2
- C. 2 AC2
- D. 2 BC2 Discuss
- 5. In the given figure, AB || DC, find the value of x.
Options- A. x = 8
- B. x = 9
- C. x = 8 or 9
- D. x = 10 Discuss
- 6. An angle is equal to one-third of its supplement. Its measure is equal to :
Options- A. 40°
- B. 50°
- C. 45°
- D. 55° Discuss
- 7. A number increased by 137 1/ 2 % and the increment is 33. The number is
Options- A. 27
- B. 22
- C. 24
- D. 25 Discuss
- 8. By selling 12 apples for a rupee, a man loses 20%. How many for a rupee should he sell to gain 20%
Options- A. 8
- B. 10
- C. 15
- D. 16 Discuss
- 9. Find the CP when SP is ? 400 and loss is 70 %?
Options- A. ? 4000/3
- B. ? 5000/3
- C. ? 2000/3
- D. ? 7000/3 Discuss
- 10. A sells a horse to B for Rs. 4860, thereby losing 19 percent, B sells it to C at a price which would have given A, 17 percent profit. Find B's gain?
Options- A. Rs. 2160
- B. Rs. 2610
- C. Rs. 1260
- D. Rs. 2260 Discuss
More questions
Correct Answer: 69993
Explanation:
(Local value of 7) - (Face value of 7) = (70000 - 7) = 69993
Correct Answer: 3111?19 m
Explanation:
In a game of 1000 meters, If A scores 1000 meters then B scores 950 meters and C scores 920 meters.
? B runs 1000 m while C scores 920 x 1000 / 950= 18400 / 19 m
Hence, in 1000 m race, B can give C (1000 - 18400 / 19) = 600 / 19 = 3111?19 meters start.
Correct Answer: 27
Explanation:
? loga3 = 1/3
? 3 = (a)1/3
? a = 27
Correct Answer: 5 AB2
Explanation:
Correct Answer: x = 8 or 9
Explanation:
Correct Answer: 45°
Explanation:
Correct Answer: 24
Explanation:
Let the number be N,
Then, 137.5% of N = 33
? N = (33 x 100)/137.5 = 24
Correct Answer: 8
Explanation:
SP = 100/12 paise
Let's CP = x
SP = 0.8x = 100/12
? x = 10/(0.8x12) paise
Therefore, CP = 100/9.6 paise
Thus the new SP (with 20% profit) = 100/9.6 X 1.2 = 100/8 paise
Hence, 8 apples can be purchased for Rs.1 to gain 20%
Correct Answer: ? 4000/3
Explanation:
CP = (100/30) x 400 = ? 4000/3
[? CP = {100/(100 - Loss%)} x SP]
Correct Answer: Rs. 2160
Explanation:
Cost of the horse paid by A = (4860 x 100) / 81 = Rs. 6000
Cost of the horse paid by C = (6000 x 117) / 100 = Rs. 7020
Gain of B = Rs. 7020 - Rs. 4860 = Rs. 2160
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