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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? 1638 0

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: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1637 0

Answer : 2. "44"
Explanation :
Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44

Q: 54, 60 LCM is 1635 0

Answer : 2. "540"
Explanation :
Answer: B) 540 Explanation: Here the LCM of 54, 60 is => 2 x 3 x 3 x 3 x 10 = 6 x 9 x 10 = 54 x 10 = 540.

Q: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1634 0

Answer : 3. "5/9"
Explanation :
Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Q: In how many different ways could couples be picked from 6 men and 9 women ? 1629 0

Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.

Q: A contractor undertake to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged so that the work may finish in time ? 1621 0

Answer : 4. "56"
Explanation :
Answer: D) 56 Explanation: Days remaining 124 – 64 = 60 days Remaining work = 1 - 2/3 = 1/3 Let men required men for working remaining days be 'm' So men required = (120 x 64)/2 = (m x 60)/1 => m = 64 Men discharge = 120 – 64 = 56 men.

Q: Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point ? 1614 0

Answer : 2. "24"
Explanation :
Answer: B) 24 Explanation: Sum of Interior angle is 180 .and it is given that interior angle is 150 more than exterior,so let exterior angle is x then interior will be x+150 now , interior + exterior =180x+150+x=180x=15 now , number of sides of polygon = 360 / exterior anglen = 360 / 15n = 24

Q: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track ? 1611 0

Answer : 2. "36 sec"
Explanation :
Answer: B) 36 sec Explanation: Time taken to meet the first time = length of track/relative speed Given the length of the track is 600 m The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.

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? 1638 05b5cc7b4e4d2b41977750897

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: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1637 05b5cc6c5e4d2b4197774dde6

Answer : 2. "44" Explanation :Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44

Q: 54, 60 LCM is 1635 05b5cc6bce4d2b4197774d891

Answer : 2. "540" Explanation :Answer: B) 540 Explanation: Here the LCM of 54, 60 is => 2 x 3 x 3 x 3 x 10 = 6 x 9 x 10 = 54 x 10 = 540.

Q: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1634 05b5cc6bbe4d2b4197774d811

Answer : 3. "5/9" Explanation :Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Q: In how many different ways could couples be picked from 6 men and 9 women ? 1629 05b5cc728e4d2b4197774f728

Answer : 2. "54" Explanation :Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.

Q: A contractor undertake to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged so that the work may finish in time ? 1621 05b5cc6cce4d2b4197774e16c

Answer : 4. "56" Explanation :Answer: D) 56 Explanation: Days remaining 124 – 64 = 60 days Remaining work = 1 - 2/3 = 1/3 Let men required men for working remaining days be 'm' So men required = (120 x 64)/2 = (m x 60)/1 => m = 64 Men discharge = 120 – 64 = 56 men.

Q: Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point ? 1614 05b5cc709e4d2b4197774f2be

Q: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track ? 1611 05b5cc6d3e4d2b4197774e54a

Answer : 2. "36 sec" Explanation :Answer: B) 36 sec Explanation: Time taken to meet the first time = length of track/relative speed Given the length of the track is 600 m The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.

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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? 1638 0

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: What will come in place of question mark (?) in the following number series? 4, 3, 4, 7, 15, ? 1637 0

Answer : 2. "44"
Explanation :
Answer: B) 44 Explanation: 4 3 4 7 15 ? ×1-1 ×1+1 ×2-1 ×2+1 ×3-1 15x3 - 1 = 45 - 1 = 44

Q: 54, 60 LCM is 1635 0

Answer : 2. "540"
Explanation :
Answer: B) 540 Explanation: Here the LCM of 54, 60 is => 2 x 3 x 3 x 3 x 10 = 6 x 9 x 10 = 54 x 10 = 540.

Q: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1634 0

Answer : 3. "5/9"
Explanation :
Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Q: In how many different ways could couples be picked from 6 men and 9 women ? 1629 0

Answer : 2. "54"
Explanation :
Answer: B) 54 Explanation: Number of mens = 8 Number of womens = 5 Different ways could couples be picked = C16× 9C1 = 9 x 6 = 54 ways.

Q: A contractor undertake to finish a certain work in 124 days and employed 120 men. After 64 days, he found that he had already done 2/3 of the work. How many men can be discharged so that the work may finish in time ? 1621 0

Answer : 4. "56"
Explanation :
Answer: D) 56 Explanation: Days remaining 124 – 64 = 60 days Remaining work = 1 - 2/3 = 1/3 Let men required men for working remaining days be 'm' So men required = (120 x 64)/2 = (m x 60)/1 => m = 64 Men discharge = 120 – 64 = 56 men.

Q: Find the regular polygon whose interior angel is 150 more than exterior angle. note the total sum of interior and exterior angle should be 180 at one point ? 1614 0

Q: Two persons start running simultaneously around a circular track of length 600 m from the same point at speeds of 25 kmph and 35 kmph. When will they meet for the first time any where on the track ? 1611 0

Answer : 2. "36 sec"
Explanation :
Answer: B) 36 sec Explanation: Time taken to meet the first time = length of track/relative speed Given the length of the track is 600 m The relative speed = 25 + 35 = 60 kmph = 60 x 5/18 m Therefore Time = 60025+35518= 600/60 x (18/5) = 36 sec.