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- Question
- The value of 1/(log 2 ?) + 1/(log 6 ?) is?
Options- A. greater then 1
- B. less than 1
- C. between 5 and 6
- D. None of these
- Correct Answer
- greater then 1
ExplanationGiven exp. = 1/(log2 ?) + 1/(log6 ?)
= log? 2 + log? 6
= log? (2 x 6)
= log?12
Since 12 > ? so the value of given expression is more than 1. - 1. A, B, and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252s, B in 308s and C in 198s, all starting of the same point. After what time will they meet again at the string point?
Options- A. 26 min and 18s
- B. 42 min and 36s
- C. 45 min
- D. 46 min and 12s Discuss
- 2. A person has completely put each of three liquids 403 L of petrol, 456 L of diesel and 496 L of mobile oil in in bottles of equal size without mixing any of the above three types of liquids such that each bottle is completely filled. What is the least possible number of bottles required?
Options- A. 34
- B. 44
- C. 46
- D. None of these Discuss
- 3. 30 pineapple trees, 45 orange tree and 60 mango trees have to be planted in rows such that each row contains the same number of trees of one variety only. What is minimum number number of row in which the trees may be planted?
Options- A. 10
- B. 15
- C. 25
- D. 9 Discuss
- 4. If HCF of x 3 - 10m 2 + 31x - 30m and x 2 - 8mx + 15 is a linear polynomial, then what is the value of m?
Options- A. 2
- B. 3
- C. 1
- D. 4 Discuss
- 5. The average of 8 number 21. if each of the number is multiplied by 8,the new set of number is?
Options- A. 8
- B. 21
- C. 29
- D. 168 Discuss
- 6. The average of 50 number is 38 .if two numbers 45 and 55 are discarded , the average of the remaining number is?
Options- A. 36.5
- B. 37.0
- C. 37.5
- D. 37.52 Discuss
- 7. The average height of 30 girls out of a class of 40 is 160 cms and that of the remaining girls is 156 cms. the average height of the whole class is?
Options- A. 11.8
- B. 25
- C. 29.5
- D. 30 Discuss
- 8. If a, b, c, d, e are five consecutive odd number , their average is?
Options- A. 5 (a + 4)
- B. abcd/5
- C. 5 (a + b + c + d + e)
- D. None of these Discuss
- 9. Out of three numbers, the first is twice the second and is half of the third. If the average of three number is 56, the three number in order are?
Options- A. 48, 96, 24
- B. 48, 24, 96
- C. 96, 24, 48
- D. 96, 48, 24 Discuss
- 10. The average weight of A, B, C is 45kg. if the average weight of A and B be 40 kg and that of B and C be 40kg and that of B and C be 43kg, then the weight of B is?
Options- A. 17kg
- B. 20kg
- C. 26kg
- D. 31kg Discuss
More questions
Correct Answer: 46 min and 12s
Explanation:
The time which all the three persons meet will be the LCM of the time by each person individually to complete one round.
252 = 22 x 71 x 91
308 = 22 x 71 x 111
198 = 21 x 91 x 111
? LCM of 252, 308 and 198 = 22 x 71 x 91 x 111 = 2772
So,A,B and C will again meet at the starting point in 2772 i.e.,46 min and 12s.
Correct Answer: 44
Explanation:
HCF of 403,456 and 496 = 31
Now, the number of bottles required to put 403 L of petrol = 403/31 = 13
Similarly,the number of bottles required to put 456 L of diesel = 465/31 = 15
The number of bottles required to put 496 L of mobile oil = 496/31 = 16
? Least number of bottles required having 31 L as capacity = 13+15 + 16 = 44
Correct Answer: 9
Explanation:
Minimum number of rows = Maximum number of trees in each row
= HCF of 30,45 and 60 = 15
? Number of rows = (30 + 45 + 60)/15 = 9
Correct Answer: 1
Explanation:
Go through options.
Put m = 1 in two given expression,we have
x3 - 10x2 + 31x - 30 and x2 - 8x + 15
x2 - 8x + 15 = (x - 5) (x - 3)
x3 - 10x2 + 31x - 30 = (x - 2) (x - 5) (x - 3)
? (x - 5) (x - 3) = x2 - 8x + 15 is the HCF of both expressions.
? m = 1
Correct Answer: 168
Explanation:
Average will increase by 8 times.
So average of new members = (21 x 8 ) = 168
Correct Answer: 37.5
Explanation:
Sum of 50 member = (50 x 38 )
= 1900
Sum of 48 member = [1900- (45 + 55 ) ]
= 1800
? Required Average = 1800/48
= 225/6
= 37.5
Correct Answer: 30
Explanation:
Average height of the whole class = sum of height of 40 girls / 40
= (30 x 160 + 10 x 156) / 40
= 159 cms.
Correct Answer: None of these
Explanation:
Since a, b, c, d, e are 5 consecutive numbers so
b = a + 2.
c = a + 4.
d = a + 6.
e = a + 8.
Average = (a + b + c + d + e)/ 5
= [a + (a + 2 ) + (a +4 ) + (a+6 )+ (a+8)] / 5
= (5a+20) / 5
= a + 4
Correct Answer: 48, 24, 96
Explanation:
Let second number = x
So, first number = 2x and third number= 4x
? ( x + 2x + 4x ) / 3 = 56
? 7x = 168
? x = 24
So the numbers are 48,24, 96,
Correct Answer: 31kg
Explanation:
weight of (A + B ) = (2 X 40 ) Kg = 80 kg
weight of (B + C ) = (2 X 43) kg = 86 kg
weight of (A + 2B +C ) = (80 + 86) kg = 166 kg
weight of (A + B + C ) = (3 X 45) kg = 135 kg
weight of B = (166-135) kg = 31 kg
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