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question_answer1)
What is the value of 'x' in \[\frac{3x-1}{5}-\frac{1+x}{2}=3-\frac{x-1}{2}\]?
A)
\[5\] done
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B)
\[-7\] done
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C)
\[7\] done
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D)
\[-5\] done
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question_answer2)
If \[0.2(2x-1)-0.5(3x-1)=0.4,\] what is the value of x'?
A)
\[\frac{1}{11}\] done
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B)
\[-\frac{1}{11}\] done
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C)
\[\frac{3}{11}\] done
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D)
\[-\frac{3}{11}\] done
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question_answer3)
In each of these figures the solution of an equation is given in brackets. Which of them is correct?
A)
B)
C)
D)
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question_answer4)
Sunil wrote an equation as \[\frac{m}{5}=4\]. Ravi wrote a statement for Sunil's equation. Which of these is the statement of Ravi if he has written correctly?
A)
One-fifth of m' is 4. done
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B)
One-fifth of a number is 5. done
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C)
One-fourth of 'm' is 4. done
clear
D)
One-fourth of a number is 4. done
clear
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question_answer5)
In which of the following cases does an equality NOT hold?
A)
Adding the same number on both the sides. done
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B)
Not performing the same operation on both the sides. done
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C)
Subtracting the same number from both the sides. done
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D)
Multiplying both the sides by the same non-zero number. done
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question_answer6)
What are the two steps involved in solving the equation\[15x+4=26\]?
A)
Subtracting 4 from both the sides and then dividing both sides by 15. done
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B)
Adding 4 on both sides & then multiplying both sides by 15. done
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C)
Subtracting 4 on the L.H.S. and multiplying by 15 on the R.H.S. done
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D)
Adding 4 on the L.H.S. and dividing by 15 on the R.H.S. done
clear
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question_answer7)
Which of the following equations can be constructed with \[x=2\]?
A)
\[3x+4=8\] done
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B)
\[3x-4=2\] done
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C)
\[3x+4=2\] done
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D)
\[3x-4=8\] done
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question_answer8)
7 subtracted from \[\frac{5}{2}\]of a number results in 23. What is the number?
A)
\[-10\] done
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B)
\[10\] done
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C)
\[12\] done
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D)
\[-12\] done
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question_answer9)
In a coconut grove, \[(x+2)\] trees yield 60 coconuts per year, x trees yield 120 coconuts per year and \[(x-2)\] trees yield 180 coconuts per year. If the average yield per year per tree is 100, find x.
A)
\[4\] done
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B)
\[3\] done
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C)
\[2\] done
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D)
\[1\] done
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question_answer10)
4 is added to a number and the sum is multiplied by 5. If 20 is subtracted from the product and the difference is divided by 8, the result is equal to 10. Find the number.
A)
\[16\] done
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B)
\[12\] done
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C)
\[8\] done
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D)
\[20\] done
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question_answer11)
A number is 3 less than two times the other. If their sum is increased by 7, the result is 37. Find the numbers.
A)
\[9,\,\,11\] done
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B)
\[11,\,\,13\] done
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C)
\[11,\,\,19\] done
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D)
\[9,\,\,13\] done
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question_answer12)
\[\frac{1}{2}\] is subtracted from a number and the difference is multiplied by 4. If 25 is added to the product and the sum is divided by 3, the result is equal to 10. Find the number.
A)
\[\frac{3}{5}\] done
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B)
\[\frac{7}{4}\] done
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C)
\[\frac{6}{7}\] done
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D)
\[\frac{2}{3}\] done
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question_answer13)
The present age of A is twice that of B. 30 years from now, age of A will be \[1{}^{1}/{}_{2}\]times that of B. Find the present ages (in years) of A and B respectively.
A)
\[60,\,\,30\] done
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B)
\[30,\,\,60\] done
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C)
\[40,\,\,50\] done
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D)
\[50,\,\,40\] done
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question_answer14)
A person travelled \[{{\frac{5}{8}}^{th}}\] of the distance by train, \[{{\frac{1}{4}}^{th}}\] by bus and the remaining 15 km by boat. Find the total distance travelled by him.
A)
\[90\,\,km\] done
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B)
\[120\,\,km\] done
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C)
\[150\,\,km\] done
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D)
\[180\,\,km\] done
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question_answer15)
The total cost of three prizes is Rs.2550. If the value of second prize is \[{{\frac{3}{4}}^{th}}\]of the first and the value of 3rd prize is \[\frac{1}{2}\]of the second prize, find the value of first prize.
A)
\[Rs.\,900\] done
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B)
\[Rs.\,1500\] done
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C)
\[Rs.\,1200\] done
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D)
\[Rs.\,450\] done
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question_answer16)
Which of the following is an equation?
A)
\[4x+5=65\] done
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B)
\[4x+5<65\] done
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C)
\[4x+5>65\] done
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D)
\[4x+5\ne 65\] done
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question_answer17)
Which of the following is an algebraic expression for the statement "The sum of \[3x\] and 11 is 32."?
A)
\[11x+3=32\] done
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B)
\[3x+11=32\] done
clear
C)
\[3x+32=11\] done
clear
D)
\[11x+32=11\] done
clear
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question_answer18)
Choose the statement that best describes the equation \[\frac{1}{4}m=10\].
A)
One - fourth of 10 is m. done
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B)
One - fourth of m is 3 more than 3. done
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C)
One - fourth of m is 10. done
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D)
Four times m is 10. done
clear
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question_answer19)
Vinay's father is 44 years old. If he is 5 years older than thrice Vinay's age, which of these equations gives, the age of Vinay's father?
A)
\[3x+5=44\] done
clear
B)
\[44+5x=3x\] done
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C)
\[44-3y=5+3y\] done
clear
D)
\[3x-5=44\] done
clear
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question_answer20)
Which of the following statements is false?
A)
The solution of \[4x=60\] is 12. done
clear
B)
\[y=7\] satisfies the equation \[y+0=7\]. done
clear
C)
\[p=\frac{5}{2}\] is the solution of \[12p-5=25\]. done
clear
D)
\[m=\frac{3}{2}\] is the solution of \[4(m+3)=18\]. done
clear
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question_answer21)
Which of the following does not affect the given equation?
A)
Adding 0 on the L.H.S. and 1 on the R. H. S. done
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B)
Adding 1 on the L.H.S. and \[(-1)\] on the R.H.S. done
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C)
Adding the same number on both sides of the equation. done
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D)
Adding 0 on the R.H.S. and 1 on the L.H.S. done
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question_answer22)
P is a linear equation. How many solutions does P have?
A)
1 done
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B)
0 done
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C)
3 done
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D)
Infinitely many done
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question_answer23)
Ramesh got 5 marks more than Sonu in a test. If the total marks secured by them is 15, how many marks did Ramesh get?
A)
\[25\] done
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B)
\[5\] done
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C)
\[15\] done
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D)
\[10\] done
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question_answer24)
In a test match, Sach in scored twice as many runs as Sehwag. Together, their runs fell two short of a double century. How many runs did Sachin score?
A)
\[66\] done
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B)
\[132\] done
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C)
\[198\] done
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D)
\[200\] done
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question_answer25)
In a math test, the highest marks obtained by a student in the class is twice the lowest marks plus 7. If the highest score is 87, what is the lowest score?
A)
\[42\] done
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B)
\[39\] done
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C)
\[40\] done
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D)
\[44\] done
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question_answer26)
A teacher asks the students of her class to write an equation for the statement "Ten times a number p is 100." Three students wrote the following equations. Which is correct?
(i) \[10\,p=100\] |
(ii) \[\frac{10}{p}=100\] |
(iii) \[\frac{10p}{p}=100\] |
A)
(i) only done
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B)
(ii) only done
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C)
(iii) only done
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D)
Both [b] and [c]. done
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question_answer27)
On transposing terms from one side of the equation to the other, which of these changes takes place?
A)
Addition becomes subtraction. done
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B)
Multiplication becomes addition. done
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C)
Addition becomes multiplication. done
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D)
Multiplication becomes subtraction. done
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question_answer28)
\[M=\frac{2x+5}{7}\]and \[N=\frac{3x-2}{4}\]. What value of x makes\[M=N\]?
A)
\[\frac{-17}{3}\] done
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B)
\[\frac{-34}{13}\] done
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C)
\[\frac{34}{13}\] done
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D)
\[\frac{17}{3}\] done
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question_answer29)
Given \[A=P(1+rt),\] what is the value of 'r' when \[A=27,\text{ }P=18\]and \[t=5\]?
A)
\[\frac{1}{2}\] done
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B)
\[\frac{1}{5}\] done
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C)
\[\frac{27}{5}\] done
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D)
\[\frac{1}{10}\] done
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question_answer30)
Given \[\frac{1}{u}+\frac{1}{v}=\frac{1}{f},\] find the value of 'v' when \[f=20\] and \[u=30\].
A)
\[-20\] done
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B)
\[-60\] done
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C)
\[60\] done
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D)
\[-30\] done
clear
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question_answer31)
The sum of three consecutive integers is 75. Which is the largest among them?
A)
26 done
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B)
25 done
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C)
24 done
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D)
23 done
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question_answer32)
The lengths of the sides of a triangle are \[(2a+1)\,\,cm,\,\,(3a+2)\,\,cm\] and \[(4a-1)\,\,cm\]. For what value of 'a' is the perimeter of the triangle \[92\,cm\]?
A)
\[5\] done
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B)
\[9\] done
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C)
\[8\] done
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D)
\[10\] done
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question_answer33)
A father is 26 years older than his son. In 3 years' time, the son's age will be one-third his father's age. What is the present age of the son?
A)
10 years done
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B)
13 years done
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C)
39 years done
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D)
29 years done
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question_answer34)
Pankaj has 96 marbles and Arun has 63 marbles. How many marbles should run give Pankaj so that Pankaj will have twice as many marbles as Arun?
A)
\[9\] done
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B)
\[12\] done
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C)
\[7\] done
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D)
\[10\] done
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question_answer35)
If \[\frac{3p+2}{5}-\frac{4p-3}{7}+\frac{p-1}{35}=4,\] find the value of p.
A)
\[65\] done
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B)
\[63\] done
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C)
\[36\] done
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D)
\[56\] done
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question_answer36)
The sum of five times a number and 13 is 48. What is the number?
A)
\[3\] done
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B)
\[5\] done
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C)
\[7\] done
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D)
\[9\] done
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question_answer37)
Guru is 20 years older than his son. If the sum of their ages is 50 years, how old is his son?
A)
5 years done
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B)
10 years done
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C)
15 years done
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D)
20 years done
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question_answer38)
If one-fourth of a number decreased by 12 is 30, what is the number?
A)
\[168\] done
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B)
\[186\] done
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C)
\[148\] done
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D)
\[184\] done
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question_answer39)
lf \[C=\frac{5}{9}(F-32),\] what is the value F?
A)
\[\frac{5C}{9}-32\] done
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B)
\[\frac{9C}{5}-32\] done
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C)
\[\frac{9C}{5}+32\] done
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D)
\[\frac{5C}{9}+32\] done
clear
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question_answer40)
The scale shown is balanced. Each cube on the left side weighs the same amount. How much does one of the cubes weigh?
A)
1 gram done
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B)
4 grams done
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C)
5 grams done
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D)
20 grams done
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question_answer41)
The figure shows the selling price of pens in a shop. Vimal paid Rs. 50 for the purchase of a few pens and received \[Rs.\text{ }0.50\]in change.
How many pens did Vimal buy?
A)
\[26\] done
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B)
\[22\] done
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C)
\[19\] done
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D)
\[16\] done
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question_answer42)
The sum of two-thirds of a number and one-fifth of the same number is 13. Find the number.
A)
\[15\] done
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B)
\[3\] done
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C)
\[13\] done
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D)
\[5\] done
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question_answer43)
Evaluate \[\frac{x-4}{3}-\frac{2x+1}{6}=\frac{5x+1}{2}\]
A)
\[\frac{3}{5}\] done
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B)
\[\frac{4}{5}\] done
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C)
\[\frac{5}{6}\] done
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D)
\[\frac{-4}{5}\] done
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question_answer44)
The denominator of a fraction is 3 more than its numerator. If 2 is added to both the numerator and the denominator, the new fraction is equivalent to \[\frac{2}{3}\] What is the original fraction?
A)
\[\frac{3}{7}\] done
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B)
\[\frac{4}{7}\] done
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C)
\[\frac{2}{3}\] done
clear
D)
\[\frac{3}{5}\] done
clear
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question_answer45)
144 beads were shared equally among some children. If there were 3 children fewer, each child would have 16 beads each. How many children were there?
A)
\[8\] done
clear
B)
\[9\] done
clear
C)
\[12\] done
clear
D)
\[11\] done
clear
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