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Question (41)

QN0036711

For the same AP with first term 550 and common difference 25, what is the sum of the first 7 terms?

(A) 4250
(B) 4375
(C) 4500
(D) 4625

Correct Answer: B

Explanation:

a7 = 700. Hence, S7 = 7/2(550 + 700) = 4375.

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Question (42)

QN0036712

Seven prizes have a total value of Rs.700. Each prize is Rs.20 less than the preceding prize. What is the value of the middle prize?

(A) Rs.80
(B) Rs.90
(C) Rs.100
(D) Rs.110

Correct Answer: C

Explanation:

The seven prizes form an AP. The middle term equals the average prize value: 700/7 = Rs.100.

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Question (43)

QN0036713

Three sections of each class from Class 1 to Class 12 plant trees equal to their class number. How many trees are planted in total?

(A) 216
(B) 224
(C) 234
(D) 246

Correct Answer: C

Explanation:

One section plants 1 + 2 + ... + 12 = 78 trees. Three sections plant 3(78) = 234 trees.

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Question (44)

QN0036714

A penalty starts at Rs.200 on the first day and increases by Rs.50 each day for 30 days. What is the total penalty?

(A) Rs.26750
(B) Rs.27500
(C) Rs.27750
(D) Rs.28000

Correct Answer: C

Explanation:

The last penalty is 200 + 29(50) = Rs.1650. Total = 30/2(200 + 1650) = Rs.27750.

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Question (45)

QN0036715

A spiral consists of 13 semicircles with radii 0.5 m, 1 m, 1.5 m, ..., 6.5 m. Taking pi = 22/7, what is the total length of the semicircular arcs?

(A) 140 m
(B) 143 m
(C) 146 m
(D) 149 m

Correct Answer: B

Explanation:

Sum of radii = 13/2(0.5 + 6.5) = 45.5. Semicircle length = pi r, so total = 22/7 x 45.5 = 143 m.

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Question (46)

QN0036716

A stack contains 200 logs arranged in rows. The number of logs in successive rows decreases by 1, starting from 20. How many rows are possible?

(A) 14
(B) 15
(C) 16
(D) 17

Correct Answer: C

Explanation:

For n rows, 200 = n/2

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Question (47)

QN0036717

In a potato race, the distances of the potatoes from the starting point are 5 m, 8 m, 11 m, ..., 32 m. If each potato requires a round trip, what total distance is covered?

(A) 350 m
(B) 360 m
(C) 370 m
(D) 380 m

Correct Answer: C

Explanation:

The distances form an AP with 10 terms. Sum = 10/2(5 + 32) = 185 m. Round-trip distance = 2(185) = 370 m.

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Question (48)

QN0036718

A flower bed has 23 flowers in the first row, 21 in the second row, and so on, with 5 flowers in the last row. How many rows are there?

(A) 8
(B) 9
(C) 10
(D) 11

Correct Answer: C

Explanation:

5 = 23 + (n - 1)(-2). Thus, 18 = 2(n - 1), giving n = 10.

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Question (49)

QN0036719

If the sum of the first n terms of an AP is Sn = 3n² + 2n, what is its nth term?

(A) 6n - 1
(B) 6n + 1
(C) 3n - 1
(D) 3n + 2

Correct Answer: A

Explanation:

an = Sn - S(n-1). Therefore, an = 3n² + 2n -

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Question (50)

QN0036720

If three numbers a, b and c are in AP, which relation is always true?

(A) a + b = c
(B) b = (a + c)/2
(C) a = (b + c)/2
(D) c = a + b

Correct Answer: B

Explanation:

For three numbers in AP, the middle term is the arithmetic mean of the first and third terms. Hence, b = (a + c)/2.

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Question (41)

For the same AP with first term 550 and common difference 25, what is the sum of the first 7 terms?

Explanation:

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Question (42)

Seven prizes have a total value of Rs.700. Each prize is Rs.20 less than the preceding prize. What is the value of the middle prize?

Explanation:

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Question (43)

Three sections of each class from Class 1 to Class 12 plant trees equal to their class number. How many trees are planted in total?

Explanation:

Link:

Question (44)

A penalty starts at Rs.200 on the first day and increases by Rs.50 each day for 30 days. What is the total penalty?

Explanation:

Link:

Question (45)

A spiral consists of 13 semicircles with radii 0.5 m, 1 m, 1.5 m, ..., 6.5 m. Taking pi = 22/7, what is the total length of the semicircular arcs?

Explanation:

Link:

Question (46)

A stack contains 200 logs arranged in rows. The number of logs in successive rows decreases by 1, starting from 20. How many rows are possible?

Explanation:

Link:

Question (47)

In a potato race, the distances of the potatoes from the starting point are 5 m, 8 m, 11 m, ..., 32 m. If each potato requires a round trip, what total distance is covered?

Explanation:

Link:

Question (48)

A flower bed has 23 flowers in the first row, 21 in the second row, and so on, with 5 flowers in the last row. How many rows are there?

Explanation:

Link:

Question (49)

If the sum of the first n terms of an AP is Sn = 3n² + 2n, what is its nth term?

Explanation:

Link:

Question (50)

If three numbers a, b and c are in AP, which relation is always true?

Explanation:

Link:

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