Quantitative Aptitude Practice Question and Answer
8Q: If A1, A2, A3, A4, ..... A10 are speakers for a meeting and A1 always speaks after, A2 then the number of ways they can speak in the meeting is 1430 05b5cc7b4e4d2b419777508a6
5b5cc7b4e4d2b419777508a6- 19!false
- 29!/2false
- 310!false
- 410!/2true
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Answer : 4. "10!/2"
Explanation :
Answer: D) 10!/2 Explanation: As A1 speaks always after A2, they can speak only in 1st to 9th places and A2 can speak in 2nd to 10 the places only when A1 speaks in 1st place A2 can speak in 9 places the remaining A3, A4, A5,...A10 has no restriction. So, they can speak in 9.8! ways. i.e when A2 speaks in the first place, the number of ways they can speak is 9.8!. When A2 speaks in second place, the number of ways they can speak is 8.8!. When A2 speaks in third place, the number of ways they can speak is 7.8!. When A2 speaks in the ninth place, the number of ways they can speak is 1.8! Therefore,Total Number of ways they can speak = (9+8+7+6+5+4+3+2+1) 8! = 92(9+1)8! = 10!/2
Q: The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is 1196 05b5cc7b4e4d2b419777508a1
5b5cc7b4e4d2b419777508a1- 17! x 7!false
- 27! x 6!true
- 36! x 6!false
- 47! x 5!false
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Answer : 2. "7! x 6!"
Explanation :
Answer: B) 7! x 6! Explanation: The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways. Required no.of ways is = 7P6.6! = 7!.6!
Q: The number of ways that 8 beads of different colours be strung as a necklace is 2071 05b5cc7b4e4d2b4197775089c
5b5cc7b4e4d2b4197775089c- 12520true
- 22880false
- 34320false
- 45040false
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Answer : 1. "2520"
Explanation :
Answer: A) 2520 Explanation: The number of ways of arranging n beads in a necklace is (n-1)!2=(8-1)!2=7!2 = 2520 (since n = 8)
Q: In How many ways can the letters of the word 'CAPITAL' be arranged in such a way that all the vowels always come together? 919 05b5cc7b4e4d2b41977750897
5b5cc7b4e4d2b41977750897- 1360true
- 2720false
- 3120false
- 4840false
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Answer : 1. "360"
Explanation :
Answer: A) 360 Explanation: CAPITAL = 7 Vowels = 3 (A, I, A) Consonants = (C, P, T, L) 5 letters which can be arranged in 5P5=5! Vowels A,I = 3!2! No.of arrangements = 5! x 3!2!=360
Q: In how many ways the letters of the word 'DESIGN' can be arranged so that no consonant appears at either of the two ends? 1009 05b5cc7b4e4d2b41977750892
5b5cc7b4e4d2b41977750892- 1240false
- 272false
- 348true
- 436false
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Answer : 3. "48"
Explanation :
Answer: C) 48 Explanation: DESIGN = 6 letters No consonants appear at either of the two ends. = 2 x 4P4 = 2 x 4 x 3 x 2 x 1= 48
Q: Using numbers from 0 to 9 the number of 5 digit telephone numbers that can be formed is 1090 05b5cc7b4e4d2b4197775088d
5b5cc7b4e4d2b4197775088d- 11,00,000false
- 259,049false
- 33439true
- 46561false
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Answer : 3. "3439"
Explanation :
Answer: C) 3439 Explanation: The numbers 0,1,2,3,4,5,6,7,8,9 are 10 in number while preparing telephone numbers any number can be used any number of times. This can be done in 105ways, but '0' is there So, the numbers starting with '0' are to be excluded is 94 numbers. Total 5 digit telephone numbers = 105- 94 = 3439
Q: A shopkeeper sells one-third of his goods at a profit of 10%, another one-third at a profit of 20%, and the rest at a loss of 6%.What is his overall profit percentage ? 1862 05b5cc7a5e4d2b41977750674
5b5cc7a5e4d2b41977750674- 16%false
- 28%true
- 310%false
- 412%false
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Answer : 2. "8%"
Explanation :
Answer: B) 8% Explanation: Let the shopkeeper buy 300g for Rs.300. Now he sells 100g for Rs.110, another 100g for Rs120, and the rest 100g for Rs94. Therefore, the total amount he receives = Rs.110 + Rs.120 + Rs.94 = 324. Therefore, the shopkeeper spends Rs.300 and gets back Rs.324. Therefore, his profit percentage = 24300x100 % = 8%
Q: A retailer buys product from a shopkeeper at discount of 40% on the list price (marked price) and sells them to the customer at a discount of 25% on the list price.What is his profit percentage ? 2125 05b5cc7a5e4d2b4197775066f
5b5cc7a5e4d2b4197775066f- 110%false
- 215%false
- 320%false
- 425%true
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Answer : 4. "25%"
Explanation :
Answer: D) 25% Explanation: Let the list price be Rs.100. Therefore, the retailer is buying the products at Rs.60 and selling it to the customer at Rs.75, earning a profit of Rs.15. Therefore, his percentage is = 1560x100 = 25%