linear equations mcq pdf Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
Trigonometric Ratios & Identities
Average
Profit & Loss
Alligation & Mixtures
Compound Interest
Linear Equations
Quadratic Equations
The difference between the squares of two numbers is 256000 and the sum of the numbers is 1000. The numbers are:
Answer: (c)
Let the numbers be x and y.
Then, $x^2 - y^2$ = 256000
and x + y = 1000.
On dividing, we get : x + y = 256.
Solving x + y = 1000 and x - y = 256.
We get : x = 628 and y = 372.
If the digits of a two-digit number are interchanged, the number formed is greater than the original number by 45. If the difference between the digits is 5, then what is the original number?
Answer: (b)
From the options, the required two-digit number is 16.
Two different natural numbers are such that, their product is less than their sum. Then one of the number must be
Answer: (c)
Since, 1 × x < 1 + x , So, one of the number is 1.
Krishna has some hens and some goats. If the total number animal heads are 81 and the total number of animal legs are 234, how many goats does Krishna have?
Answer: (a)
h + g = 81 ...(1)
and 2h + 4g = 234 ...(2)
Solving eqs (1) and (2), we get
h = 45 and g = 36
Find the number of positive integer solutions of the equation $2/x + 15/y$ = 5.
Answer: (c)
We have $2/x + 15/y = 5$
⇒ 2y + 15x = 5xy
⇒ 5xy - 2y - 15x = 0
⇒ (y - 3) (5x - 2) = 6
Now, 6 can be written as 2 × 3, -2 × -3, 1 × 6
or -1 × - 6.
The only possible case is 5x . 2 = 3 and y . 3 = 2.
Therefore, x = 1 and y = 5.
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