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- Question
- Sum of three fraction is 2 11/ 24 . If the greatest fraction is divided by the smallest fraction the result is 7/6, which is greater than the middle fraction by 1/3. Find all the three fractions.
Options- A. 3/5, 4/7, 2/3
- B. 7/8, 5/6, 3/4
- C. 7/9, 2/3, 3/5
- D. 7/8, 7/9, 7/10
- Correct Answer
- 7/8, 5/6, 3/4
ExplanationLet the greatest, middle and smallest fraction be P, Q and R respectively in decreasing order.
According to the question.
(Greatest fraction) / (Smallest fraction) = 7/6
? P/R = 7/6
? P = 7R/6 ....(i)
and Q = 7/6 - 1/3 = 7 - 2/6 = 5/6 (ii)
Now, P + Q + R = 211/24 (iii )
Substitute the value of P and Q from Eqs. (i), (ii) and put in Eqs (iii), we get
? 7R/6 + 5/6 + R = 59/24
? (7R + 5 + 6R)/6 = 59/24
? (13R + 5) / 6 = 59/24
? 13R = (59/4) - 5 = 39/4
? R = 39 / (4 x 13)
? R = 3/4
On putting the value of R in Eq. (i), we get
P = 7R/6 = (7/6) x (3/4) = 7/8 - 1. Find the present worth of a bill of Rs. 2420 due 2 years later at 10% compound interest. Also find the true discount?
Options- A. Rs. 2000, Rs. 420
- B. Rs. 2200, Rs. 520
- C. Rs. 2100, Rs. 460
- D. None of these Discuss
- 2. In the following question, four groups of three numbers are given. In each group the second and third number are related to the first number by a Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.
Options- A. (9, 11, 14)
- B. (13, 15, 18)
- C. (17, 19, 22)
- D. (21, 23, 28) Discuss
- 3. Find the odd word/letters/numbers pair from the given alternatives.
Options- A. 41 - 72
- B. 12 - 30
- C. 51 - 42
- D. 11 - 20 Discuss
- 4. Find the odd man out. 253, 136, 352, 324, 631, 244
Options- A. 324
- B. 136
- C. 352
- D. 631 Discuss
- 5. Select the odd word from the given alternatives.
Options- A. Stream
- B. Rivulet
- C. River
- D. Valley Discuss
- 6. Select the odd word from the given alternatives.
Options- A. Chair
- B. Sofa
- C. Couch
- D. Television Discuss
- 7. Find the odd number in the following number series? 24, 4, 13, 41, 151, 640
Options- A. 4
- B. 640
- C. 41
- D. 13 Discuss
- 8. Find the odd term from the given series of numbers ? 125, 127, 130, 135, 142, 153, 165 ?
Options- A. 153
- B. 165
- C. 142
- D. 127 Discuss
- 9. What comes next in this sequence 196, 169, 144, 121, 100, 81, ?
Options- A. 77
- B. 74
- C. 67
- D. 64 Discuss
- 10. Find out the odd word/letters/number/number pair from the given alternatives.
Options- A. LJH
- B. XUS
- C. VTR
- D. FDB Discuss
More questions
Correct Answer: Rs. 2000, Rs. 420
Explanation:
Here sum is put on compound interest,
? P.W. = A / (1 + r / 100)n = 2420 / (1 + 10 / 100)2 = 2420 x 100 / 121 = Rs. 2000
? T.D. = P.W. - P
? True discount = 2420 - 2000 = Rs. 420
Correct Answer: (21, 23, 28)
Correct Answer: 41 - 72
Correct Answer: 324
Explanation:
The Sum of the digits in each number, Except 324 is 10.
Correct Answer: Valley
Correct Answer: Television
Correct Answer: 41
Explanation:
The given number series follows the pattern that,
24×0 + 4 = 4
4×1 + 9 = 13
13×2 + 16 = 42
42×3 + 25 = 151
151×4 + 36 = 640
Therefore, the odd number in the given series is 41
Correct Answer: 165
Explanation:
From the beginning, the next term comes by adding prime numbers in a sequence of 2, 3, 5, 7, 9, 11, 13... to its previous term. But 165 will not be in the series as it must be replaced by 166 since 153+13 = 166.
Correct Answer: 64
Explanation:
The given number series follows a pattern that
196, 169, 144, 121, 100, 81, ?
-27 -25 -23 -21 -19 -17
=> 81 - 17 = 64
Therefore, the series is 196, 169, 144, 121, 100, 81, 64.
Correct Answer: XUS
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