algebraic expressions Model Questions & Answers, Practice Test for ssc mts paper 1 2023
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The sum of the digits of a two-digit number is 1 /11 of the sum of the number and the number obtained by interchanging the position of the'digits. What is the difference between the digits of that number?
Answer: (a)
Let, the two-digit no. be xy, i.e. 10x + y then,
x + y =$1/11$ [(10 x + y) + (10 y + x)] = x + y
Thus we see that the difference of x and y can't be determined.
Hence, the answer is data inadequate.
A sum is divided among Rakesh, Suresh and Mohan. If the difference between the shares of Rakesh and Mohan is Rs.7000 and between those of Suresh and Mohan is Rs.3000, what was the sum?
Answer: (a)
R – M = 7000 and S – M = 3000
Here, S + M + R can be found only when one more equation in terms of S and R is given.
Therefore, Can't be determined is the correct answer.
If A and B are positive integers such that $9A^2$ = 12A + 96 and $B^2$ = 2B + 3, then which of the following is the value of 5A +7B?
Answer: (e)
$9A^2$ = 12A + 96⇒$3A^2$ – 4A – 32 = 0
∴A=${4±√{16+384}}/6=4,-8/3$
$B^2$=2B+3⇒$B^2$-2B-3=0
∴B=${2±√{4+12}}/2$=3,-1
∴5A + 7B = 5 × 4 + 7 × 3 = 20 + 21= 41
If the price of 253 pencils is Rs.4263.05, what will be the approximate value of 39 such pencils'?
Answer: (c)
Price of 39 pencils = ${4263.05}/{253}$×39=Rs.650
The difference between a two-digit number and the number after interchanging the position of the two digits is 36. What is the difference between the two digits of the number?
Answer: (c)
Let the two-digit no. be l0x + y.
Then, (10x + y) – (10y + x) = 36
or, 9(x – y) = 36
or, x – y = 4
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