What is the use of aptitude test in competitive exams?
Find dimensions of the smaller plots: Since each smaller plot has an area of 120 square meters120 \text{ square meters}120 square meters, we need to find pairs of integers (a,b)(a, b)(a,b) such that a×b=120a \times b = 120a×b=120. The factors of 120 and their corresponding pairs are: 1×120=1202×60=1Read more
- Find dimensions of the smaller plots:
- Since each smaller plot has an area of 120 square meters, we need to find pairs of integers (a,b) such that a×b=120.
The factors of 120 and their corresponding pairs are:
1×1202×603×404×305×246×208×1510×1212×1015×820×624×530×440×360×2120×1=120=120=120=120=120=120=120=120=120=120=120=120=120=120=120=120
- Check compatibility with the field dimensions:
- We need to check if the field of 60 meters by 40 meters can be divided into smaller plots of dimensions a×b.
To fit the dimensions into the field exactly, the length and width of the field (60 meters and 40 meters) must be divisible by the dimensions of the plot.
- Filter valid plot dimensions:
- For each pair (a,b), check if both 60 is divisible by a and 40 is divisible by b, or vice versa.
Valid pairs:
(a,b)(a,b)(a,b)(a,b)(a,b)(a,b)(a,b)(a,b)=(10,12)=(12,10)=(20,6)=(6,20)=(15,8)=(8,15)=(30,4)=(4,30)(since 60÷10=6 and 40÷12=3.333, not valid)(since 60÷12=5 and 40÷10=4, valid)(since 60÷20=3 and 40÷6=6.666, not valid)(since 60÷6=10 and 40÷20=2, valid)(since 60÷15=4 and 40÷8=5, valid)(since 60÷8=7.5 and 40÷15=2.666, not valid)(since 60÷30=2 and 40÷4=10, valid)(since 60÷4=15 and 40÷30=1.333, not valid)So, valid pairs that fit exactly into the 60 by 40 field are:
- (12,10)
- (6,20)
- (15,8)
- (30,4)
- Counting the number of ways:
- There are four distinct pairs of dimensions that can be used to divide the field into smaller plots with integer dimensions.
Thus, there are 4 different ways the farmer can divide the field into smaller plots of 120 square meters each with integer dimensions.
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Aptitude tests are commonly used in competitive exams for several reasons: Assessing Basic Skills : They measure fundamental skills such as numerical ability, logical reasoning, and verbal proficiency, which are essential for academic and professional fields. Standardization : These tests provide aRead more
Aptitude tests are commonly used in competitive exams for several reasons:
- Assessing Basic Skills : They measure fundamental skills such as numerical ability, logical reasoning, and verbal proficiency, which are essential for academic and professional fields.
- Standardization : These tests provide a standardized method to evaluate the abilities of all candidates, ensuring a fair comparison based on a common set of criteria.
- Predicting Success : Aptitude tests are designed to predict a candidate’s ability to succeed in future tasks, courses, or job roles. High scores often correlate with better performance in the relevant field.
- Identifying Potential : They help in identifying candidates with the potential to excel in specific areas, even if they lack prior knowledge or experience in those areas.
- Efficiency : Aptitude tests can quickly and efficiently screen large numbers of candidates, making the selection process more manageable.
- Eliminating Bias : By focusing on objective skills rather than subjective factors, aptitude tests help reduce biases that might arise from interviews or other subjective evaluation methods.
- Diagnostic Tool : These tests can diagnose strengths and weaknesses, helping candidates understand areas where they need improvement and aiding educators in tailoring their instruction accordingly.
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