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 product of two numbers is 192 and the sum of these two numbers is 28. What is the smaller of these two numbers?
Answer: (a)
Let the two numbers be x and y.
∴ xy = 192, x + y = 28 …(1)
∴ $(x - y)^2 = (x + y)^2 - 4xy$ = 784 - 768 = 16
∴ x - y = 4 …(2)
Combining (1) and (2), x =16, and y = 12.
If the sum of one-half and one-fifth of a number exceeds one-third of that number by 7$1/3$, the number is
Answer: (a)
Let the number be x.
Then, $(1/2 x + 1/5 x) - 1/3 x = 22/3 ⇔ {11x}/3$
= $22/3 ⇔ x = ({22 × 30}/{3 × 11})$ = 20
The sum of the digits of a three-digit number is 16. If the tens digit of the number is 3 times the units digit and the units digit is one-fourth of the hundredth digit, then what is the number ?
Answer: (d)
Let a, b and c be the digits at the hundredth, tens and units places, respectively.
Now, a + b + c = 16, …(1)
b = 3c …(2)
and c = $1/4$ a …(3)
From (2) and (3),
b = $3/4$a …(4)
From (1), (3) and (4), we have
$a + 3/4a + 1/4a = 16$
or a = 8, b = 6 and c = 2
Hence, the three digit number is 862.
54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780. The bigger part is:
Answer: (c)
Let the two parts be (54 - x) and x.
Then, 10 (54 - x) + 22x = 780
⇔ 12x = 240 ⇔ x = 20.
∴ Bigger part = (54 - x) = 34.
The sum of two numbers is 25 and their difference is 13. Find their product.
Answer: (c)
Let the numbers be x and y.
Then, x + y = 25 and x - y = 13.
⇒ xy = 114
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