Algebra
Which expression represents “8 more than n”?
a) 8n b) n-8 c) n+8 d) 8-n
Answer:c) n+8
Solution: “More than” indicates addition.
A triangle has angles 50° and 60°. Its third angle is:
a) 60° b)70° c)80° d)90°
Answer: b) 70°
Solution:Angle Sum Propertyin a triangle
= 180 − (50°+ 60°)
= 180°-110°
=70°.
What is 3/4 of 80
a) 40 b)50 c)60 d) 70
Answer: C) 60
Solution: 80÷ 4= 20
20x3= 60
Which Roman numeral represents 50?
a) L b) C c) D d) X
Answer: a) L. (L represents 50.)
A number is multiplied by 5 and then 2 is added. The result is 27. What is the number?
a) 4 b) 5 c) 6 d) 7
Answer: d) 5
Correction: The correct answer is b)5.
Solution: Let the number be x
Then 5x+2=27,
so5x=25 and x=5
Two angles of a triangle are equal, and the third is 40°. Each equal angle is:
a) 40° b)60° c)70° d)80°
Answer: C.
Solution: The equal angles total 180° − 40° = 140°; each is 70°.
A number is multiplied by 8 and then 12 is added to the result. If the final answer is 100, what is the number?
a) 9 b) 10 c) 11 d) 12
c)11
Solution: (100-12)=88
=88 ÷ 8
=11Answer
Which number is divisible by both 3 and 5?
a) 125 b) 135 c) 142 d) 154
Answer: b)135
Solution: It ends in 5, so it is divisible by 5. Its digit sum is 1+3+5=9, so it is divisible by 3.
A pattern begins 2, 6, 12, 20, 30, … Each term is the product of two consecutive positive integers. What is the 8th term?
a) 64 b) 72 c) 80 d) 90
Answer: b) 72
Solution:
The pattern follows n(n+1)
The 8th term is:
8(8+1)=8x 9=72
A rectangle has an area of 96 cm² and a length of 12 cm. What is its perimeter?
a) 32 cm b) 36 cm c) 40 cm d) 44 cm
Answer: c) 40 cm
Solution: ( A= L x B)
Width =96 ÷ 12=8 cm.
Perimeter =2(12+8)=40 cm.
A shopkeeper buys 25 notebooks for ₹40 each and sells each notebook for ₹48. What is his total profit?
a) ₹150 b) ₹180 c) ₹200 d) ₹240
Answer: C) ₹200
Solution: Profit per notebook =48-40 =₹8
Total profit =25 x8=₹200.
A train leaves at 9:35 a.m. and reaches its destination at 1:20 p.m. How long is the journey?
a) 3 hours 35 minutes
b) 3 hours 45 minutes
c) 3 hours 55 minutes
d) 4 hours 15 minutes
Answer: c) 3 hours 45 minutes
Solution: From 9:35 a.m. to 12:35 p.m. is 3 hours, plus 45 minutes.