| 1 . |
There are two taps Aand Bto fill up a water tank. The tank can be filled in 40 min, if both taps are on. The same tank can be filled in 60 min, if tap Aalone is on. How much time will tap Balone take, to fill up the same tank? |
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Answer & Explanation
| Answer : Option D |
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| Explanation : |
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| Work done by tap Bin 1 min = $1 \over 40$ - $1 \over 60$ = $3 - 2 \pver 120$ = $1 \over 120$ |
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| 2 . |
A train started from a station with a certain number of passengers. At the first halt, $1\over 3$rd of its passengers got down and 120 passengers got in. At the second halt, half of the passengers got down and 100 persons got in. Then, the train left for its destination with 240 passengers. How many passengers were there in the train when it started ? |
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Answer & Explanation
| Answer : Option D |
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| 3 . |
If the HCF of$x^ 3$ + m$x^ 2$ - x+ 2mand $x^ 2$ + mx- 2 is a linear polynomial, then what is the value of m? |
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Answer & Explanation
| Answer : Option A |
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| 4 . |
A person has four iron bars whose lengths are 24 m, 36 m, 48 m and 72 m respectively. This person wants to cut pieces of same length from each of four bars. What is the least number of total pieces if he is to cut without any wastage? |
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Answer & Explanation
| Answer : Option B |
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| Explanation : |
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24 = 12 $\times$ 2,
36 = 12 $\times$ 3,
48 = 12 $\times$ 4,
and 72 = 12 $\times$ 6
HCF (24, 36, 48, 72) = 12
Total pieces = 2 + 3 + 4 + 6 = 15 |
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| 5 . |
If mean of y and $1\over y$ is M, then what is the mean of $y\over 3$ and $1 \over {y^3}$ |
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Answer & Explanation
| Answer : Option D |
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| 6 . |
From a series of 50 observations, an observation with value 45 is dropped but the mean remains the same. What was the mean of 50 observations? |
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Answer & Explanation
| Answer : Option C |
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Let the observation mean = x
Sum of 50 observations = 50x
According to question
$50x - 45 \over 49$ = x
50x - 45 = 49x
x = 45 |
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| 7 . |
Read the following information carefully to answer the questions that follow
The average age of 6 persons living in a house is 23.5 years. Three of them are majors and their average age is 42 years. The difference in ages of the three minor children is same
What is the mean of the ages of minor children? |
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Answer & Explanation
| Answer : Option C |
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| Explanation : |
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Total age of six persons = 23.5 $\times$ 6 = 141 years
Total age of three major persons = 42 $\times$ 3 = 126 years
Total age of three minor children = 141 - 126 = 15 years
The difference in ages of the three minor children is same.
Therefore, we take ages may be:
5, 5, 5; 3, 5, 7; 2, 5, 8 and 1, 5, 9
In all the cases, median will be 5 years
Ans: Mean age of minor children = $15 \over 3$ = 5 years |
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| 8 . |
Read the following information carefully to answer the questions that follow
What is the median of the ages of minor children? |
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Answer & Explanation
| Answer : Option B |
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Total age of six persons = 23.5 $\times$ 6 = 141 years
Total age of three major persons = 42 $\times$ 3 = 126 years
Total age of three minor children = 141 - 126 = 15 years
The difference in ages of the three minor children is same.
Therefore, we take ages may be:
5, 5, 5; 3, 5, 7; 2, 5, 8 and 1, 5, 9
In all the cases, median will be 5 years
ANS: Median age of minor children = 5 years |
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| 9 . |
In how many ways can a committee of 4 people be chosen out of 8 people ? |
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Answer & Explanation
| Answer : Option C |
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| 10 . |
Study the following Pie-chart carefully and answer the questions given below
What is the ratio of the male Engineers and Designers to the same-occupation female professionals in the town? |
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Answer & Explanation
| Answer : Option D |
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| Explanation : |
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Male Engineers + Male Designers
40% of (18% of 10500) + 65% of (16% of 10500)
Female Engineers + Female Designers
= 60% of (18% of 10500) + 35% of (16% of 10500)
Required ratio = (40 $\times$ 18)
+ (65 $\times$ 16) : (60 $\times$ 18 + 35 $\times$ 16)
= (720 + 1040) : (1080 + 560)
= 1760 : 1640 = 44 : 41 |
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