A certain amount invested in a firm would become double at the end of one month, but it deducts an amount of ₹120 on every doubling. A person invests an amount of ₹105 and continues for 3 months without investing any additional amount. At the end of 3 months, his net income is [#1695]
Q1. A certain amount invested in a firm would become double at the end of one month, but it deducts an amount of ₹120 on every doubling. A person invests an amount of ₹105 and continues for 3 months without investing any additional amount. At the end of 3 months, his net income is Q1. A certain amount invested in a firm would become double at the end of one month, but it deducts an amount of ₹120 on every doubling. A person invests an amount of ₹105 and continues for 3 months without investing any additional amount. At the end of 3 months, his net income is
Q1. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is Q1. The sum of the four consecutive alternate numbers is 64. The smallest number amongst them is
(A) 13 (A) 13
(B) 11 (B) 11
(C) 16 (C) 16
(D) 9 (D) 9
Answer: (A) 13 Answer: (A) 13
The smallest number amongst them is 13
=> X + (X+2) + (X+4) + (X+6) = 64
=> 4X + 12 = 64
=> 4X = 64 - 12
=> 4X = 52
=> X = 13The smallest number amongst them is 13
=> X + (X+2) + (X+4) + (X+6) = 64
=> 4X + 12 = 64
=> 4X = 64 - 12
=> 4X = 52
=> X = 13
Q2. The LCM of two numbers is 40 and their HCF is 4. If the difference between the two numbers is 12, then the sum of the numbers is Q2. The LCM of two numbers is 40 and their HCF is 4. If the difference between the two numbers is 12, then the sum of the numbers is
(A) 20 (A) 20
(B) 24 (B) 24
(C) 28 (C) 28
(D) 32 (D) 32
Answer: (C) 28 Answer: (C) 28
X * (X-12) = 40 * 4
X = 20
X + (X-12) = 20 + 20 - 12 = 28X * (X-12) = 40 * 4
X = 20
X + (X-12) = 20 + 20 - 12 = 28
Q3. The product of two consecutive odd numbers is 19043. Which is the smaller number? Q3. The product of two consecutive odd numbers is 19043. Which is the smaller number?
Q5. If '÷' means ‘addition’, ‘+’ means ‘subtraction’, ‘–’ means ‘multiplication’ and ‘×’ means ‘division’, then the value of 18 ÷ 12 × 4 – 5 is Q5. If '÷' means ‘addition’, ‘+’ means ‘subtraction’, ‘–’ means ‘multiplication’ and ‘×’ means ‘division’, then the value of 18 ÷ 12 × 4 – 5 is
Q6. What is the term for a line that divides a shape into two equal parts? Q6. What is the term for a line that divides a shape into two equal parts?
(A) Axis (A) Axis
(B) Median (B) Median
(C) Vertex (C) Vertex
(D) Bisector (D) Bisector
Answer: (D) Bisector Answer: (D) Bisector
A bisector is a line that divides a shape into two equal parts, like a line that cuts a triangle into two equal areas or a line that divides a circle into two equal parts (semi-circles).A bisector is a line that divides a shape into two equal parts, like a line that cuts a triangle into two equal areas or a line that divides a circle into two equal parts (semi-circles).
Q8. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is Q8. The smallest positive integer that is simultaneously divisible by 6, 8 and 12 is
Q9. p, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be Q9. p, q, r are three numbers such that the LCM of p and q is q and the LCM of q and r is r. The LCM of p, q and r will be
(A) q (A) q
(B) r (B) r
(C) qr (C) qr
(D) pqr (D) pqr
Answer: (B) r Answer: (B) r
LCM will be r.
px= q and qy = r, hence r = pxy.LCM will be r.
px= q and qy = r, hence r = pxy.