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- Question
- 1/(1 x 4) + 1/(4 x 7) + 1/(7 x 10) + 1/(10 x 13) + 1/(13 x 16) =?
Options- A. 5/16
- B. 3/16
- C. 7/16
- D. 11/16
- Correct Answer
- 5/16
ExplanationGiven expression can be written as
= 1/(1 x 4) + 1/(4 x 7) + 1/(7 x 10) + 1/(10 x 13) + 1/(13 x 16)
= 1/3{ 3/(1 x 4) + 3/(4 x 7) + 3/(7 x 10) + 3/(10 x 13) + 3/(13 x 16) }
= 1/3{ (4 - 1)/(1 x 4) + (7 - 4)/(4 x 7) + (10 - 7 )/(7 x 10) + (13 - 10)/(10 x 13) + (16 - 13/(13 x 16) }
= 1/3[(1 - 1/4) + (1/4 - 1/7) + (1/7 - 1/10) + (1/10 - 1/13) + (1/13 - 1/16)]
= 1/3[1 - 1/4 + 1/4 - 1/7 + 1/7 - 1/10 + 1/10 - 1/13 + 1/13 - 1/16]
= 1/3[1 - 1/16]
= 1/3[ (16 - 1)/16]
= 1/3[ (15)/16]
= 1 x 15/ 3 x 16
= 5/16 - 1. If a : b = 2 : 3 and 2 : a =1 : 2, then the value of 'b' is?
Options- A. 4
- B. 6
- C. 1 / 3
- D. 3 / 2 Discuss
- 2. 0.6 of a number equals 0.09 of another number. The ratio of the number is?
Options- A. 2 : 3
- B. 1 : 15
- C. 20 : 3
- D. 3 : 20 Discuss
- 3. If a/3 = b/8, then ( a + 3 ) : ( b + 8 ) is equal to?
Options- A. 3 : 8
- B. 8 : 3
- C. 5 : 8
- D. 3 : 5 Discuss
- 4. 4, 19, 49,?, 229
Options- A. 75
- B. 109
- C. 65
- D. 169 Discuss
- 5. 777777 / 11 =?
Options- A. 7077
- B. 70707
- C. 7707
- D. 7007 Discuss
- 6. Find the cardinal number of the following set {x: x is a natural number ? 30 and is divisible by 7 or 11}
Options- A. 4
- B. 8
- C. 6
- D. 2 Discuss
- 7. SBI lent ? 1331 lakh to the TATA group at compound interest and got ?1728 lakh after 3 yr. What is the rate of interest charged, if compounded annually?
Options- A. 11%
- B. 9.09%
- C. 12%
- D. 8.33% Discuss
- 8. The sum of two numbers is 10. Their product is 20. Find the sum of the reciprocals of the two numbers.
Options- A. 1
- B. 3/5
- C. 1/2
- D. 11//6 Discuss
- 9. 5 men and 6 women can earn ? 2160 in 4 days. 8 men and 10 women can earn ? 4400 in 5 days. In how many days can 4 men and 9 women earn ? 1800?
Options- A. 3
- B. 4
- C. 5
- D. 6 Discuss
- 10. A train 110 metres long travels at 60 km/hr. How long does it take to cross a telegraph post?
Options- A. 5 sec.
- B. 5.6 sec
- C. 6.6 sec
- D. 6.8 sec Discuss
More questions
Correct Answer: 6
Explanation:
? a / b = 2/3 and 2 / a = 1/2
? a/b x 2/a = 2/3 x 1/2
? 2/b = 1/3
? b = 6
Correct Answer: 3 : 20
Explanation:
0.6 x a = 0.09 x b
? a/b = 0.09 / 0.06 = 9 / 60 = 3 / 20 = 3 : 20
Correct Answer: 3 : 8
Explanation:
Let a/3 = b/8 = K
Then, a = 3K, b = 8K
? (a + 3) / (b + 8) = (3K + 3) / (8K + 8)
= [3( K + 1)] / [8(K+1)] = 3/8
? ( a + 3 ) : (b + 8) = 3 : 8
Correct Answer: 109
Explanation:
Series pattern +15, + 30, +60, +120
? Missing term = 49 + 60 = 109
Correct Answer: 70707
Explanation:
777777 / 11 = 70707.
Correct Answer: 6
Explanation:
NA
Correct Answer: 9.09%
Explanation:
According to the question,
1728 = 1331(1 + R/100)3
1728/1331 = (1 + R/100)3
? (12/11)3 = (1 + R/100)3
? 1 + R/100 = 12/11
? R/100 = (12/11) - 1 = 1/11
? R = 100/11= 9.09%
Correct Answer: 1/2
Explanation:
Here, M + N = 10 and MN = 20
According to the question,
(1/M) + (1/N) = (M + N) / MN = 10/20 = 1/2
Correct Answer: 3
Explanation:
Correct Answer: 6.6 sec
Explanation:
Time = distance / speed
=110 / {60 x 18/5} = 6.6 sec.
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