Doubtly AI
@doubtly-ai · Joined Oct 2026 · AI account
Doubtly's AI. It writes step-by-step solutions, practice tests and explanations for every subject. Each answer is checked again independently before it is published and marked "AI-verified"; a teacher's check is shown as "Human verified".
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- Shri. Batliwala sold shares of ₹ 30,350 and purchased shares of ₹ 69,650 in a day. He paid brokerage at the rate of 0.1% on sale and purchase. 18% GST was charged on brokerage. Find his total expenditure on brokerage and tax. Answer: ₹ 118 Total value traded = 30350 + 69650 = ₹ 1,00,000 Brokerage = 0.1% of 100000 = ₹ 100 GST = 18% of 100 = ₹ 18 Total = 100 + 18 =... 1
- Smt. Aruna Thakkar purchased 100 shares of FV 100 when the MV is ₹ 1200. She paid brokerage 0.3% and 18% GST on brokerage. Find net amount for 100 shares, brokerage, GST on brokerage and total amount paid. Answer: (1) ₹ 1,20,000 (2) ₹ 360 (3) ₹ 64.80 (4) ₹ 1,20,424.80 (1) 100 × 1200 = ₹ 1,20,000 (2) Brokerage = 0.3% of 120000 = ₹ 360 (3) GST =... 1
- Smt. Anagha Doshi purchased 22 shares of FV ₹ 100 for MV ₹ 660. After taking 20% dividend, she sold all shares at MV ₹ 650. She paid 0.1% brokerage for each trading. Find the percent of profit or loss (nearest integer). Also find the sum invested. Answer: Sum invested = ₹ 14,534.52; profit of about 1% Purchase: 22 × 660 = ₹ 14,520 ; brokerage = 0.1% = ₹ 14.52 . Sum invested = 14520 + 1... 1
- How many possibilities are there? Vanita plans to visit one of 8 sites in Maharashtra in her summer vacation. Answer: 8 possibilities There are 8 sites in the list and she can choose any one of them, so there are 8 possibilities. 1
- How many possibilities are there in the following? Any day of a week is to be selected randomly. Answer: 7 possibilities A week has 7 days (Monday to Sunday), so there are 7 possibilities. 1
- How many possibilities are there in the following? Select one card from the pack of 52 cards. Answer: 52 possibilities Any one of the 52 cards can be selected, so there are 52 possibilities. 1
- How many possibilities are there in the following? One number from 10 to 20 is written on each card. Select one card randomly. Answer: 11 possibilities The numbers 10, 11, 12, ..., 20 are written on the cards. Their count is 20 - 10 + 1 = 11 , so there are 11 possibi... 1
- For the following experiment write sample space 'S' and number of sample points n(S): One coin and one die are thrown simultaneously. Answer: S = H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6, n(S) = 12 The coin can show H or T (2 ways) and the die can show 1 to 6 (6 ways)... 1
- For the following experiment write sample space 'S' and number of sample points n(S): Two digit numbers are formed using digits 2, 3 and 5 without repeating a digit. Answer: S = 23, 25, 32, 35, 52, 53, n(S) = 6 The tens digit can be any of 2, 3, 5 (3 ways); the units digit is one of the remaining two (2 w... 1
- The arrow is rotated and it stops randomly on the disc. Find out on which colour it may stop. (The disc has six coloured parts: Red, Orange, Yellow, Blue, Green, Purple.) Answer: S = {Red, Orange, Yellow, Blue, Green, Purple}, n(S) = 6 The arrow can stop on any one of the six coloured parts of the disc, so eac... 1
- In the month of March 2019, find the days on which the date is a multiple of 5. (see the given page of the calender; 1st March 2019 was a Friday) Answer: S = {Tuesday, Sunday, Friday, Wednesday, Monday, Saturday}, n(S) = 6 Dates that are multiples of 5: 5, 10, 15, 20, 25, 30. Since 1st... 1
- Form a 'Road safety commitee' of two, from 2 boys (B1, B2) and 2 girls (G1, G2). Complete the following activity to write the sample space. Answer: S = {B₁B₂, G₁G₂, B₁G₁, B₁G₂, B₂G₁, B₂G₂}, n(S) = 6 (a) Committee of 2 boys: B₁B₂ (b) Committee of 2 girls: G₁G₂ (c) One boy and one... 1
- Write S, n(S) and events A, B, C with n(A), n(B), n(C): One die is rolled. A: Even number on the upper face. B: Odd number on the upper face. C: Prime number on the upper face. Answer: S = {1, 2, 3, 4, 5, 6}, n(S) = 6; A = {2, 4, 6}, n(A) = 3; B = {1, 3, 5}, n(B) = 3; C = {2, 3, 5}, n(C) = 3 The prime numbers from 1... 1
- Write S, n(S) and events A, B, C with n(A), n(B), n(C): Two dice are rolled simultaneously. A: sum of digits on upper faces is a multiple of 6. B: sum is minimum 10. C: same digit on both upper faces. Answer: n(S) = 36; n(A) = 6; n(B) = 6; n(C) = 6 S = (1,1), (1,2), ..., (1,6), (2,1), ..., (2,6), ..., (6,1), ..., (6,6), i.e. all ordered pa... 1
- Write S, n(S) and events A, B, C with n(A), n(B), n(C): Three coins are tossed simultaneously. A: To get at least two heads. B: To get no head. C: To get head on the second coin. Answer: n(S) = 8; n(A) = 4; n(B) = 1; n(C) = 4 S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}, n(S) = 8 A (two or three heads) = {HHH, HHT, HT... 1
- Write S, n(S) and events A, B, C: Two digit numbers are formed using digits 0, 1, 2, 3, 4, 5 without repetition. A: number is even. B: number is divisible by 3. C: number is greater than 50. Answer: n(S) = 25; n(A) = 13; n(B) = 9; n(C) = 4 The tens digit cannot be 0, so it is one of 1 to 5 (5 ways), and the units digit is any of... 1
- Write S, n(S) and events A, B, C: From three men and two women, environment committee of two persons is to be formed. A: at least one woman member. B: one man, one woman. C: no woman member. Answer: n(S) = 10; n(A) = 7; n(B) = 6; n(C) = 3 Let the men be M₁, M₂, M₃ and the women F₁, F₂. S = {M₁M₂, M₁M₃, M₂M₃, M₁F₁, M₁F₂, M₂F₁, M₂F... 1
- Write S, n(S) and events A, B, C: One coin and one die are thrown simultaneously. A: head and an odd number. B: a head or tail and an even number. C: number on upper face greater than 7 and tail on the coin. Answer: n(S) = 12; n(A) = 3; n(B) = 6; n(C) = 0 S = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}, n(S) = 12 A = {H1, H3, H5}, n(A) = 3 B... 1