A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be : [#1119]
Q1. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be : Q1. A lady deposits money in her savings bank in such a way that every next day her deposit amount is ₹ 12 more than her previous day deposit. If she starts her deposit with ₹ 12 on the first day, the total amount deposited by Liza at the end of 30 days will be :
(A) 5,420 (A) 5,420
(B) 5,580 (B) 5,580
(C) 5,620 (C) 5,620
(D) 5,780 (D) 5,780
Answer: (B) 5,580 Answer: (B) 5,580
The formula for the sum of the first n terms of an arithmetic progression is
= 15*(12+360)
= 15 * 372
= 5580The formula for the sum of the first n terms of an arithmetic progression is
= 15*(12+360)
= 15 * 372
= 5580
Q1. Select the number pair in which the two numbers are related in the same way as 35 : 6. Q1. Select the number pair in which the two numbers are related in the same way as 35 : 6.
Q2. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are Q2. The sum of two numbers is 15 and the sum of their squares is 113. The numbers are
Q3. The count of prime numbers between 80 and 100 is Q3. The count of prime numbers between 80 and 100 is
(A) 2 (A) 2
(B) 5 (B) 5
(C) 3 (C) 3
(D) 4 (D) 4
Answer: (C) 3 Answer: (C) 3
Prime numbers are numbers that are only divisible by 1 and themselves. Between 80 and 100, the prime numbers are 83, 89, and 97. Therefore, there are 3 prime numbers in this range.Prime numbers are numbers that are only divisible by 1 and themselves. Between 80 and 100, the prime numbers are 83, 89, and 97. Therefore, there are 3 prime numbers in this range.
Q4. The product of two consecutive odd numbers is 19043. Which is the smaller number? Q4. The product of two consecutive odd numbers is 19043. Which is the smaller number?
Q6. The angles of a quadrilateral are in the ratio of 1 : 3 : 4 : 7. The difference between the largest and the smallest angle is Q6. The angles of a quadrilateral are in the ratio of 1 : 3 : 4 : 7. The difference between the largest and the smallest angle is
Q7. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is Q7. A 100 metre long train moving in a uniform speed of 20 m/sec crosses a bridge of length 1 km. The time taken by the train to cross the bridge is
Q8. If 20% of a is b, then b% of 20 is the same as : Q8. If 20% of a is b, then b% of 20 is the same as :
(A) 4% of a (A) 4% of a
(B) 8% of a (B) 8% of a
(C) 6% of a (C) 6% of a
(D) 10% of a (D) 10% of a
Answer: (A) 4% of a Answer: (A) 4% of a
20% of a is b
Hence b = 20% of a = 20a/100
b% of 20
= 20% of b
= (20/100) * 20a/100
= (20*20*a)/(100*100)
= 4a/100
= (4/100) * a
= 4% of a20% of a is b
Hence b = 20% of a = 20a/100
b% of 20
= 20% of b
= (20/100) * 20a/100
= (20*20*a)/(100*100)
= 4a/100
= (4/100) * a
= 4% of a
Q9. What is the sum of the interior angles of a triangle? Q9. What is the sum of the interior angles of a triangle?
(A) 180 degrees (A) 180 degrees
(B) 270 degrees (B) 270 degrees
(C) 360 degrees (C) 360 degrees
(D) 450 degrees (D) 450 degrees
Answer: (A) 180 degrees Answer: (A) 180 degrees
The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.The sum of the interior angles of a triangle is always 180 degrees, a fundamental principle in geometry.