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- Question
In a queue, Shankar is ninth from the rear end. Althaf's place is eighth from the front. Nitu is standing between the two. What could be the minimum numbers of boys standing in the queue ?
Options- A. 18
- B. 14
- C. 22
- D. 24
- Correct Answer
- 14
Explanation1 2 3 4 5 6(Shankar) 7(Nitu) 8(Althaf) 9 10 11 12 13 14
Here, Althaf is 8th from front, Shankar is 9th from rear end and Nitu is between them
So minimum no. of boys standing in the queue = 14 - 1. 445, 221, 109, 46, 25, 11, 4
Options- A. 221
- B. 109
- C. 46
- D. 25
- E. 11 Discuss
- 2. A boat cover a distance of 30 km downstream in 2 h while it takes 6 h to cover the same distance distance upstream. What is the speed of the boat (in km/h)?
Options- A. 5
- B. 7.5
- C. 13
- D. 10 Discuss
- 3. A 220 m long train passes a signal post in 12 s. Find the speed f the train.?
Options- A. 72 km/h
- B. 60 km/h
- C. 66 km/h
- D. 69 km/h Discuss
- 4. The banker's gain on a bill due 2 years hence at 5% is Rs. 8, find the present worth of the bill?
Options- A. Rs. 800
- B. Rs. 650
- C. Rs. 750
- D. Rs. 850 Discuss
- 5. The value of $ \frac{\log_{a}{x}}{\log_{ab}{x}} - \log_{a}{b}$ is?
Options- A. 0
- B. 1
- C. a
- D. ab Discuss
- 6.
If x = 2 + ?3, then the value of ?x + 1 is : ?x
Options- A. ?3
- B. ?6
- C. 2 ?6
- D. 6 Discuss
- 7. A shopkeeper marked 50% more price than cost price of the article . If he allows 30% discount to his customers, then his profit per cent is
Options- A. 5%
- B. 10%
- C. 12%
- D. 15% Discuss
- 8. Find 2 consecutive positive odd integers whose squares have the sum 290.
Options- A. 11, 13
- B. 13, 15
- C. 9, 11
- D. None of these Discuss
- 9. ?. 18x 2 + 18x + 4 = 0
?. 12y 2 + 29y + l4 = 0
Options- A. 1
- B. 2
- C. 3
- D. 4 Discuss
- 10. One root of the quadratic equation x2 - 5 x + 6 = 0 is 3. Find the other root.
Options- A. 2
- B. ?2
- C. 1
- D. ?1 Discuss
More questions
Correct Answer: 46
Explanation:
Clearly, 46 is wrong.
Correct Answer: 10
Explanation:
Speed of boat downstream = Distance covered / Time taken
= 30/2 = 15 km/h
Now, speed of boat upstream = Distance covered / Time taken
= 30/6 = 5 km/h
Now, speed of boat = (Speed download + Speed upstream) / 2
= (15 + 5) / 2 = 10 km/h
Correct Answer: 66 km/h
Explanation:
We know that,
Speed = Distance/ Time
Speed of the train = 220/12 x (18/5) km/h
Correct Answer: Rs. 800
Explanation:
P.W. = [8 x 100 x 100] / [10 x 10]
= Rs. 800
Correct Answer: 1
Explanation:
? loga x = ( logabx) / (logaba)
? The given expression = [[(logabx) / (logaba)] / [( logabx )] - ( logab)
= (1/logaba) - logab = logaab - logab = loga(ab/b)
= logaa = 1
Correct Answer: ?6
Explanation:
Correct Answer: 5%
Explanation:
Here, r = 50% and r1 = 30%
? Gain per cent = [r(100 - r1)/100] - r1
= [50 x (100 - 30)/100] - 30
= 35 - 30 = 5%
Correct Answer: 11, 13
Explanation:
According to question ,
Let, the two consecutive odd positive integers be 2x + 1 and 2x + 3 where x is a whole number.
Now, ( 2x + 1 )2 + ( 2x + 3 )2 = 290
? 4x2 + 4x + 1 + 4x2 + 12x + 9 = 290
? 8x2 + 16x - 280 = 0
? x2 + 2x - 35 = 0
? ( x + 7 ) ( x - 5 ) = 0
? x = 7, - 5
But, x = ?7 is not possible, since ?7 is not a whole number .
? x = 5.
We get , 2x + 1 = 2 x 5 + 1 = 11 and 2x + 3 = 2 x 5 + 3 = 13
Thus , two consecutive positive odd integers are 11 and 13 .
Correct Answer: 4
Explanation:
Correct Answer: 2
Explanation:
The given equation is
x2 - 5x + 6 = 0 ? x 2 - 2x - 3x+ 6 = 0
? x( x - 2 ) - 3( x - 2 ) = 0
? ( x - 2 ) ( x - 3 ) = 0
? x - 2 = 0 or x - 3 = 0
? x = 2 or x = 3
Thus, the other root of the given quadratic equation is 2.
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