Examsbook | Hand picked material and question banks

प्र: 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

उत्तर : 1. "360"
व्याख्या :
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

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

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

प्र: 54, 60 LCM is 1635 0

उत्तर : 2. "540"
व्याख्या :
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.

प्र: 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

उत्तर : 3. "5/9"
व्याख्या :
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.

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

उत्तर : 2. "54"
व्याख्या :
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.

प्र: 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

उत्तर : 4. "56"
व्याख्या :
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.

प्र: 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

उत्तर : 2. "24"
व्याख्या :
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

प्र: 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

उत्तर : 2. "36 sec"
व्याख्या :
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.

प्र: 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

उत्तर : 1. "360"
व्याख्या :
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

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

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

प्र: 54, 60 LCM is 1635 0

उत्तर : 2. "540"
व्याख्या :
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.

प्र: 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

उत्तर : 3. "5/9"
व्याख्या :
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.

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

उत्तर : 2. "54"
व्याख्या :
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.

प्र: 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

उत्तर : 4. "56"
व्याख्या :
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.

प्र: 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

प्र: 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

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

प्र: 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

उत्तर : 1. "360" व्याख्या :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

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

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

प्र: 54, 60 LCM is 1635 05b5cc6bce4d2b4197774d891

उत्तर : 2. "540" व्याख्या :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.

प्र: 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

उत्तर : 3. "5/9" व्याख्या :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.

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

उत्तर : 2. "54" व्याख्या :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.

प्र: 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

उत्तर : 4. "56" व्याख्या :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.

प्र: 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

प्र: 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

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

त्रुटि की रिपोर्ट करें

प्र: 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

उत्तर : 1. "360"
व्याख्या :
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

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

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

प्र: 54, 60 LCM is 1635 0

उत्तर : 2. "540"
व्याख्या :
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.

प्र: 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

उत्तर : 3. "5/9"
व्याख्या :
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.

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

उत्तर : 2. "54"
व्याख्या :
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.

प्र: 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

उत्तर : 4. "56"
व्याख्या :
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.

प्र: 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

प्र: 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