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- Question
The sum of 3rd and 15th elements of an arithmetic progression is equal to the sum of 6th, 11th and 13th elements of the same progression. Then which element of the series should necessarily be equal to zero ?
Options- A. 14th element
- B. 9th element
- C. 12th element
- D. 7th element
- Correct Answer
- 12th element
ExplanationIf we consider the third term to be ?x?
The 15th term will be (x + 12d)
6th term will be (x + 3d)
11th term will be (x + 8d) and
13th term will be (x + 10d).
Thus, as per the given condition, 2x + 12d = 3x + 21d.Or x + 9d = 0.
x + 9d will be the 12th term.Thus, 12th term of the A.P will be zero.
- 1. If log 10 (10x) = 2.7532, then log 10 (10000x) is?
Options- A. 4.7532
- B. 5.7532
- C. 3 x 2.7532
- D. None of these Discuss
- 2. We have an angle of 2 1°/ 2 .How big it will look through a glass that magnifies things three times?
Options- A. 2 1° × 4 2
- B. 2 1° × 3 2
- C. 2 1° × 2 2
- D. 2 1° × 5 2 Discuss
- 3. A 200 m long train is running at a speed of 60 km/ hr. Find out the time it takes to pass a man standing at the platform
Options- A. 10 sec
- B. 12 sec
- C. 15 sec
- D. 18 sec Discuss
- 4. The rate of interest for the first 2 years is 5% for the next 3 years is 8% and beyond this. It is 10% per annum. If the simple interest for 8 years is Rs . 1280. What is the principal?
Options- A. Rs. 2500
- B. Rs. 2000
- C. Rs. 3200
- D. Rs. 2440 Discuss
- 5. A pillar 14 cm in diameters is 5 m high. How much material was used to construct it?
Options- A. (77 x 102)cm3
- B. (77 x 104)cm3
- C. (77 x 105)cm3
- D. (77 x 103)cm3 Discuss
- 6. The price of a product is increased by 20%. If the original price is Rs. 300, what is the final price of the product?
Options- A. 350
- B. 360
- C. 365
- D. 370 Discuss
- 7.
The expression ( - 1 ) 132 is equivalent to : 5- 1 + 3- 1
Options- A. 16 9
- B. - 15 8
- C. 15 8
- D. 17 8 Discuss
- 8. What will be the HCF of ( 2 x 3 x 7 x 9 ), ( 2 x 3 x 9 x 11 ) and ( 2 x 3 x 4 x 5 )?
Options- A. 2 x 3 x 7
- B. 2 x 3 x 9
- C. 2 x 3
- D. 2 x 7 x 9 x 11 Discuss
- 9. 75% of a number when added to 75 is equal to the number. The number is?
Options- A. 150
- B. 200
- C. 225
- D. 300 Discuss
- 10. One litre of water is evaporated from 6 litre of a solution containing 5% salt. The percentage of salt?
Options- A. 44/19%
- B. 55/7%
- C. 5%
- D. 6% Discuss
More questions
Correct Answer: 5.7532
Explanation:
log10(103.10x) = log10 103 + log10(10x)
= 3 + 2.7532
= 5.7532
Correct Answer: 2 1° × 5 2
Explanation:
Correct Answer: 12 sec
Explanation:
Speed of the train = (60 x 5/18) m/sec = 50/3 m/sec
Distance covered in passing the standing person = 200m
Required time taken= =200/(50/3) = 200 x (3/50) = 12 sec
Correct Answer: Rs. 2000
Explanation:
r1 = 5%,
r2 = 8%,
r3 = 10%,
t1 = 2 years
t2 = 3 years,
t3 = 8 - (2 + 3) = 3 years
? Principal = (Interest x 100) / [(r1 x t1) + (r2 x t2) + (r3 x t3 )]
= (1280 x 100) / (5 x 2 + 8 x 3 + 10 x 3)
= 128000/(10 + 24 + 30)
= 128000/64
=Rs. 2000
Correct Answer: (77 x 103)cm3
Explanation:
Volume of the cylinder = ?r2h
= (22/7) x 7 x 7 x 500 = 77000
= (77 x 103) cm3
Correct Answer: 360
Explanation:
Final Price = Initial price + Initial price x 20/100
= Initial price x (1+20/100)
= Rs.300x(1.2)
= Rs.360
Correct Answer: 15 8
Explanation:
Correct Answer: 2 x 3
Explanation:
Given factors
2 x 3 x 7 x 9; 2 x 3 x 9 x 11; 2 x 3 x 4 x 5
? Required HCF = Product of common prime factors having least powers = 2 x 3
Correct Answer: 300
Explanation:
75 + 75% of N = N
? N -3N/4 = 75
? N/4 = 75
? N = (75 x 4) = 300
Correct Answer: 6%
Explanation:
Salt in 6 liter = 5% of 6 = 0.30 liter
Salt in new solution = (0.30/5) x 100% = 6%
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