Two cards are drawn at random from a pack of 52 cards. What is the probability that both of them are either black or queen cards? a) 55/442 b) 54/221 c) 55/221 d) 51/221

Two cards are drawn at random from a pack of 52 cards. What is the probability that both of them are either black or queen cards? a) 55/442 b) 54/221 c) 55/221 d) 51/221
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c) 55/221
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Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are Red or both are king? A) 52/221 B) 55/190 C) 55/221 D) 19/221

Description :  Two cards are drawn at random from a pack of 52 cards.what is the probability that either both are Red or both are king? A) 52/221 B) 55/190 C) 55/221 D) 19/221

Last Answer : Answer: C) We have n(s) = 52C2 = 1326. Let A = event of getting both red cards B = event of getting both king A∩B = event of getting king of red cards n(A) = 26C2 = 325, n(B)= 4C2= 6 and n(A∩B) = 2C2 = 1 P(A ... S) = 1/1326 P(A∪B) = P(A) + P(B) - P(A∩B) = (325+6-1) / 1326 = 330/1326 = 55/221

What is the probability a well shuffled pack of 52 cards a card is drawn at random find the probability that it is either a heart or a queen?

Description : What is the probability a well shuffled pack of 52 cards a card is drawn at random find the probability that it is either a heart or a queen?

Last Answer : 41365

A pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, what is the probability of drawing 2 blue pens and 1 black pen? a) 16/243 b) 16/283 c) 14/243 d) 23/729

Description : A pack contains 4 blue, 2 red and 3 black pens. If a pen is drawn at random from the pack, replaced and the process repeated 2 more times, what is the probability of drawing 2 blue pens and 1 black pen? a) 16/243 b) 16/283 c) 14/243 d) 23/729

Last Answer : a) 16/243

Two cards are drawn at random from a well-shuffled pack of 52 cards. What is the probability that either both are black or both are kings ? -Maths 9th

Description : Two cards are drawn at random from a well-shuffled pack of 52 cards. What is the probability that either both are black or both are kings ? -Maths 9th

Last Answer : (b) \(rac{55}{221}\)S : Drawing 2 cards out of 52 cards ⇒ n(S) = 52C2 = \(rac{|\underline{52}}{|\underline{52}|\underline2}\) = \(rac{52 imes51}{2}\) = 1326A : Event of drawing 2 black cards out of 26 black cards⇒ n ... ) + \(rac{6}{1326}\) - \(rac{1}{1326}\) = \(rac{330}{1326}\) = \(rac{55}{221}\).

A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting a red card or a diamond or a jack ? -Maths 9th

Description : A card is drawn at random from a well-shuffled pack of 52 cards. Find the probability of getting a red card or a diamond or a jack ? -Maths 9th

Last Answer : (d) \(rac{7}{13}\)Here n(S) = 52 Let A, B, C be the events of getting a red card, a diamond and a jack respectively. ∵ There are 26 red cards, 13 diamonds and 4 jacks, n(A) = 26, n(B) = 13, n(C) = 4 ⇒ n(A ∩ B) = ... rac{1}{52}\)= \(rac{44}{52}\) + \(rac{16}{52}\) = \(rac{28}{52}\) = \(rac{7}{13}\) .

Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings ? -Maths 9th

Description : Two cards are drawn from a pack of 52 cards. What is the probability that either both are red or both are kings ? -Maths 9th

Last Answer : Let S : Drawing 2 cards out of 52 card A : Drawing 2 red cards B : Drawing 2 kings A ∪ B : Drawing 2 red cards or 2 kings ∴ n(S) = 52C2 n(A) = 26C2 (∵ There are 26 red cards) n(B) = 4C2 ... \(rac{4 imes3}{52 imes51}\) - \(rac{2}{52 imes51}\) = \(rac{660}{2652}\) = \(rac{55}{221}.\)

Find the probability that the three cards drawn from a pack of 52 cards are all black ? -Maths 9th

Description : Find the probability that the three cards drawn from a pack of 52 cards are all black ? -Maths 9th

Last Answer : Number of ways in which three cards can be drawn from a pack of 52 cards n(S) = 52C3. Let A : Event of drawing all the three cards as black Then, n(A) = 26C3 (∵There are 26 black cards)∴ P(A ... (rac{^{26}C_3}{^{52}C_3}\) = \(rac{26 imes25 imes24}{52 imes51 imes50}\) = \(rac{2}{17}.\)

What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '7'? e) 13/45 f) 14/45 g) 23/90 h) 19/45

Description : What is the probability that a two digit number selected at random will be a multiple of '3' and not a multiple of '7'? e) 13/45 f) 14/45 g) 23/90 h) 19/45

Last Answer : Answer: a

There are 6 positive numbers and 8 negative numbers. Four numbers are chosen at random and multiplied. The probability that the product is a positive number is: a) 502/1001 b) 505/1001 c) 501/1001 d) 503/1001

Description : There are 6 positive numbers and 8 negative numbers. Four numbers are chosen at random and multiplied. The probability that the product is a positive number is: a) 502/1001 b) 505/1001 c) 501/1001 d) 503/1001

Last Answer : b) 505/1001

All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is face card. a. 2/23 b. 7/44 c. 3/23 d. 4/25

Description : All red face cards are removed from a pack of playing cards. The remaining cards are well shuffled and then a card is drawn at random from them. Find the probability that the drawn card is face card. a. 2/23 b. 7/44 c. 3/23 d. 4/25

Last Answer : c. 3/23

A card is drawn at random from a well shuffled pack of 52 cards -Maths 9th

Description : A card is drawn at random from a well shuffled pack of 52 cards -Maths 9th

Last Answer : (c) P(X) = P(Y) > P(Z) P(X) = \(rac{26}{52}\) + \(rac{4}{52}\) - \(rac{2}{52}\) = \(rac{28}{52}\) (∵ There are 26 black cards, 4 kings and 2 black kings)P(Y) = \(rac{13}{52}\) + \(rac{ ... }{52}\)(∵ There are 4 aces, 13 diamonds, 4 queens, 1 ace of diamond, 1 queen of diamond) ∴ P(X) = P(Y) > P(Z).

Three cards are drawn at random from an ordinary pack of cards. Find out the probability that they will consist of a king, aqueen and an ace?

Description : Three cards are drawn at random from an ordinary pack of cards. Find out the probability that they will consist of a king, aqueen and an ace?

Last Answer : Answer: 64/2210.

A Receptacle contains 3violet, 4purple and 5 black balls. Three balls are drawn at random from the receptacle. The probability that all of them are purple, is: A)3/55 B)7/55 C)1/55 D)9/55

Description : A Receptacle contains 3violet, 4purple and 5 black balls. Three balls are drawn at random from the receptacle. The probability that all of them are purple, is: A)3/55 B)7/55 C)1/55 D)9/55

Last Answer : Answer: C) Let S be the sample space. Then, n(S) = number of ways of drawing 3 balls out of 12 = 12C3 = 220 Let E = event of getting all the 3 purple balls. n(E) = 4C3= 4 P(E) = n(E)/n(S) = 4/220 = 1/55

Consider a pack contains 2black, 9 white and 3 pink pencils. If a pencil is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 black pencils and 1 pink pencil? a)3/ 49 b)3/686 c)3/14 d)3/545

Description : Consider a pack contains 2black, 9 white and 3 pink pencils. If a pencil is drawn at random from the pack, replaced and the process repeated 2 more times, What is the probability of drawing 2 black pencils and 1 pink pencil? a)3/ 49 b)3/686 c)3/14 d)3/545

Last Answer : Answer: B) Here, total number of pencils = 14 Probability of drawing 1 black pencil = 2/14 Probability of drawing another black pencil = 2/14 Probability of drawing 1 pink pencil = 3/14 Probability of drawing 2 black pencils and 1 pink pencil = 2/14 * 2/14 * 3/14 = 3/686

Which algorithm includes repeated addition of two predetermined values A and S to a product P and then performs a rightward arithmetic shift on P. 49 50. 51. 52. 53. 54. 55. a. Booth’s algorithm b. Usual algorithm c. Multiplication algorithm d. None of these

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Last Answer : a. Booth’s algorithm

Which of the following represents the largest 4-digit number which can be added to 7249 in order to make the derived number divisible by each of 12,14,21,33 and 54? a) 9123 b) 9383 c) 8727 d) 8673

Description : Which of the following represents the largest 4-digit number which can be added to 7249 in order to make the derived number divisible by each of 12,14,21,33 and 54? a) 9123 b) 9383 c) 8727 d) 8673

Last Answer : b) 9383

A Package contains 12 pack of variety1 drink, 6 pack of variety2 drink and 8pack of variety3 drink. Three packsof them are drawn at random, what is the probability that the three are not of the same variety? a) 37/325 b) 288/325 c) 188/325 d) None of these

Description : A Package contains 12 pack of variety1 drink, 6 pack of variety2 drink and 8pack of variety3 drink. Three packsof them are drawn at random, what is the probability that the three are not of the same variety? a) 37/325 b) 288/325 c) 188/325 d) None of these

Last Answer : Answer: B) Total number of drink pack= 12+6+8= 26. Let S be the sample space. Then, n(S) = number of ways of taking 3 drink pack out of 26. Therefore, n(S) = 26C3 = 2600 Let Ebe the ... 296/2600=37/325 Then, the probability of taking 3 pack are not of the same variety = 1 - 37/325= 288/325

When two dice are rolled, find the probability of getting a greater number on the first die than the one on the second, given that the sum should equal 8. a) 5/18 b) 1/18 c) 2/5 d) 1/5

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Last Answer : c) 2/5

An anti-air craft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1 respectively. What is the probability that the plane is hit when all the four shots are fired? a) 0.6872 b) 0.4379 c) 0.6976 d) 0.3452

Description : An anti-air craft gun can take a maximum of four shots at an enemy plane moving away from it. The probability of hitting the plane at the first, second, third and fourth shots are 0.4, 0.3, 0.2 and 0.1 ... is hit when all the four shots are fired? a) 0.6872 b) 0.4379 c) 0.6976 d) 0.3452

Last Answer : c) 0.6976

A man can hit a target once in 4shots. If he fires 4 shots in succession, what is the probability that he will hit his target? a) 175/256 b) 81/256 c) 1/256 d) 1/256

Description : A man can hit a target once in 4shots. If he fires 4 shots in succession, what is the probability that he will hit his target? a) 175/256 b) 81/256 c) 1/256 d) 1/256

Last Answer : a) 175/256

The probability that an egg does not hatch is 1/3. What is the probability that 3 out of 4 eggs hatch? a) 8/81 b) 23/81 c) 32/81 d) 8/9

Description : The probability that an egg does not hatch is 1/3. What is the probability that 3 out of 4 eggs hatch? a) 8/81 b) 23/81 c) 32/81 d) 8/9

Last Answer : c) 32/81

Two cards are drawn from a well shuffled pack of 52 cards one after another without replacement. -Maths 9th

Description : Two cards are drawn from a well shuffled pack of 52 cards one after another without replacement. -Maths 9th

Last Answer : Probability of drawing an ace in the first draw = \(rac{4}{52}.\)Probability of drawing a queen of opposite shade in the second draw = \(rac{2}{51}.\)Probability of drawing a queen in the first draw = \(rac{4}{52}.\) ... \(rac{2}{51}\) = \(rac{4}{663}.\) [ AND' and OR'Theorems]

One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. -Maths 9th

Description : One card is drawn from a pack of 52 cards, each of the 52 cards being equally likely to be drawn. -Maths 9th

Last Answer : (c) \(rac{1}{26}\)There is a total of 52 cards n(S) = 52 Let A : Event of drawing a red king Since there are only two red kings in the pack, n(A) = 2 ∴ P(A) = \(rac{2}{52}\) = \(rac{1}{26}\).

A box contains 3red, 8 blue and 5 green marker pens. If 2 marker pens are drawn at random from the pack, not replaced and then another pen is drawn. What is the probability of drawing 2 blue marker pens and 1 red marker pen? a) 3/20 b) 1/20 c) 7/20 d) 9/20

Description : A box contains 3red, 8 blue and 5 green marker pens. If 2 marker pens are drawn at random from the pack, not replaced and then another pen is drawn. What is the probability of drawing 2 blue marker pens and 1 red marker pen? a) 3/20 b) 1/20 c) 7/20 d) 9/20

Last Answer : Answer: B) Probability of drawing 1 blue marker pen =8/16 Probability of drawing another blue marker pen = 7/15 Probability of drawing 1 red marker pen = 3/14 Probability of drawing 2 blue marker pens and 1 red marker pen = 8/16*7/15*3/14=1/20

What is the probability of drawing a jack and a queen consecutively from a deck of 52 cards, without replacement? a) 4/664 b) 8/52 c) 4/663 d) 4/52

Description : What is the probability of drawing a jack and a queen consecutively from a deck of 52 cards, without replacement? a) 4/664 b) 8/52 c) 4/663 d) 4/52

Last Answer : Answer: C)  Probability of drawing a jack = 4/52 = 1/13 After drawing one card, the number of cards are 51. Probability of drawing a queen = 4/51. Now, the probability of drawing a jack and queen consecutively is 1/13 * 4/51 = 4/663

Four cards are drawn from a full pack of cards. Find the probability that : -Maths 9th

Description : Four cards are drawn from a full pack of cards. Find the probability that : -Maths 9th

Last Answer : 4 cards can be drawn from a pack of cards in 52C4 ways ∴ Exhaustive number of cases = n(S) = 52C4 (a) There are 4 suits, each containing 13 cards. Let A : Event of drawing one card from each suit ⇒ Favourable number of ... = \(rac{15229}{54145}\) (∵ P(Event) + P(complement of event) = 1)

I bought 15 pens and sold 12 of them at the cost price of 18 pens. What is the profit percentage? a) 50 b) 25 c) 30 d) 45

Description : I bought 15 pens and sold 12 of them at the cost price of 18 pens. What is the profit percentage? a) 50 b) 25 c) 30 d) 45

Last Answer : a) 50

A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange? 1) 5/12 2) 1/13 3) 1/14 4) 1/12 5) 1/24

Description : A box contains 2 black, 3 orange and 4 pink ribbons. If two ribbons are drawn at random. What is the probability that both are orange? 1) 5/12 2) 1/13 3) 1/14 4) 1/12 5) 1/24

Last Answer : 4) 1/12

In how many articles of Indian Constitution, Directive principles of the state policy are mentioned? (1) From Article 36-51 (2) From Article 36-52 (3) From Article 36-53 (4) From Article 36-54

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Last Answer : (1) From Article 36-51 Explanation: From Article 36-51. DPSP was borrowed from Irish constitution.

Which of the following articles of the Constitution vests the executive power of the Union in the President? (1) Article 51 (2) Article 52 (3) Article 53 (4) Article 54

Description : Which of the following articles of the Constitution vests the executive power of the Union in the President? (1) Article 51 (2) Article 52 (3) Article 53 (4) Article 54

Last Answer : (3) Article 53 Explanation: Article 53 - executive power of the union. Article 52 - The president of India Article 54 - Election of president.

The stem of a cantilever retaining wall which retains earth level with top is 6 m. If the angle of repose and weight of the soil per cubic metre are 30° and 2000 kg respectively, the effective width of the stem at the bottom, is (A) 51.5 (B) 52.5 (C) 53.5 (D) 54.5

Description : The stem of a cantilever retaining wall which retains earth level with top is 6 m. If the angle of repose and weight of the soil per cubic metre are 30° and 2000 kg respectively, the effective width of the stem at the bottom, is (A) 51.5 (B) 52.5 (C) 53.5 (D) 54.5

Last Answer : Answer: Option C

32 kmph 11.What is the weight per meter length of 52 kg Rail? a. 54.14 kg b. 50.25 kg c. 51.89 kg* d. 53.85 kg

Description : 32 kmph 11.What is the weight per meter length of 52 kg Rail? a. 54.14 kg b. 50.25 kg c. 51.89 kg* d. 53.85 kg

Last Answer : c. 51.89 kg*

Number of students in 4th and 5th class is in the ratio 6 : 11. 40% in class 4 are girls and 48% in class 5 are girls. What percentage of students in both the classes are boys? A) 62.5% B) 54.8% C) 52.6% D) 55.8% E) 53.5%

Description : Number of students in 4th and 5th class is in the ratio 6 : 11. 40% in class 4 are girls and 48% in class 5 are girls. What percentage of students in both the classes are boys? A) 62.5% B) 54.8% C) 52.6% D) 55.8% E) 53.5%

Last Answer : Answer: B Total students in both = 6x+11x = 17x Boys in class 4 = (60/100)*6x = 360x/100 Boys in class 5 = (52/100)*11x = 572x/100 So total boys = 360x/100 + 572x/100 = 932x/100 = 9.32x % of boys = [9.32x/17x] * 100=54.8%

In how many ways can a pack of 52 cards be divided into 4 sets, three of them having 16 cards each and the fourth just 4 cards? -Maths 9th

Description : In how many ways can a pack of 52 cards be divided into 4 sets, three of them having 16 cards each and the fourth just 4 cards? -Maths 9th

Last Answer : First we divide 52 cards into two sets which contains 1 and 51 cards respectively is 1! 51! 52! Now 51 cards can be divided equally in three sets each contains 17 cards (Here order of sets is not important) in 3!(17!) ... ways Hence, the required number of ways = 1! 51! 52! 3! (17!) 3 51!

There are three cards in a box. Both sides of one card are black, both sides of one card are red, and the third card has one black side and one red side. We pick a card at random and observe only one side. What is the probability that the opposite side is the same colour as the one side we observed? (A) 3/4 (B) 2/3 (C) 1/2 (D) 1/3

Description : There are three cards in a box. Both sides of one card are black, both sides of one card are red, and the third card has one black side and one red side. We pick a card at random and observe only one side. What is the ... the same colour as the one side we observed? (A) 3/4 (B) 2/3 (C) 1/2 (D) 1/3 

Last Answer : (B) 2/3

The cash difference between the selling price of an article at a profit of 8% and 4% is Rs 3 the ratio of the two selling price is A. 51 : 52 B. 27 : 26 C. 51 : 53 D. 52 : 55

Description : The cash difference between the selling price of an article at a profit of 8% and 4% is Rs 3 the ratio of the two selling price is A. 51 : 52 B. 27 : 26 C. 51 : 53 D. 52 : 55

Last Answer : Answer – B (27:26) Explanation – Let the C.P of the article be Rs. x Then required ratio = 108% of x / 104% of x = 108/104= 27:26

Two trains are running in opposite direction with the same speed. If the length of each train is 135 meters and they cross each other in 18 seconds, the speed of each train is a) 29km/hr b) 35km/hr c) 27km/hr d) 28km/hr

Description : Two trains are running in opposite direction with the same speed. If the length of each train is 135 meters and they cross each other in 18 seconds, the speed of each train is a) 29km/hr b) 35km/hr c) 27km/hr d) 28km/hr

Last Answer : c) 27km/hr

A trader mixes Ariel detergent costing Rs. 64 per kg with “Surf excel” which costs Rs. 76per kg in the ratio 1:3. If the cost of Surf excel drops to Rs.74 per kg, then in what ratio should he mix the two to leave the cost of mixture unchanged? a) 1:9 b) 1:8 c) 9:1 d) 8:1

Description : A trader mixes Ariel detergent costing Rs. 64 per kg with “Surf excel” which costs Rs. 76per kg in the ratio 1:3. If the cost of Surf excel drops to Rs.74 per kg, then in what ratio should he mix the two to leave the cost of mixture unchanged? a) 1:9 b) 1:8 c) 9:1 d) 8:1

Last Answer : a) 1:9

25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus? a) 300 b) 625 c) 600 d) 650

Description : 25 buses are running between two places P and Q. In how many ways can a person go from P to Q and return by a different bus? a) 300 b) 625 c) 600 d) 650

Last Answer : c) 600

Two trains 240m and 170m in length are running towards each other on parallel tracks. One train has a speed of 51kmph and the other has a speed of 45kmph. In what time after the meet first will they be clear of each other? a) 6.714s b) 12.2 s c) 15.375s d) 16s

Description : Two trains 240m and 170m in length are running towards each other on parallel tracks. One train has a speed of 51kmph and the other has a speed of 45kmph. In what time after the meet first will they be clear of each other? a) 6.714s b) 12.2 s c) 15.375s d) 16s

Last Answer : c) 15.375s

Two pipes can fill a tank in 20 and 24 minutes respectively and another pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank in gallons is: a)100 b)110 c)120 d)140

Description : Two pipes can fill a tank in 20 and 24 minutes respectively and another pipe can empty 3 gallons per minute. All the three pipes working together can fill the tank in 15 minutes. The capacity of the tank in gallons is: a)100 b)110 c)120 d)140

Last Answer : c)120

79.93 × 35.02 -59.93 × 85.08 + 74.98 × 44.04 =? a) 1420 b) 1000 c) 1580 d) 870 e) 1260

Description : 79.93 × 35.02 -59.93 × 85.08 + 74.98 × 44.04 =? a) 1420 b) 1000 c) 1580 d) 870 e) 1260

Last Answer : ? ≈ 80 × 35-60 × 85 + 75 × 44 =2800 – 5100 + 3300 = 1000 Answer: b)

119 + 784 ÷ 32 x 116 = ? a) 2961 b) 3121 c) 2564 d) 2861 e) 2941

Description : 119 + 784 ÷ 32 x 116 = ? a) 2961 b) 3121 c) 2564 d) 2861 e) 2941

Last Answer : 119 + 784 ÷ 32 x 116 = ? Sol: 119 + 24.5 x 116 =? 119 + 2842 = ? ? = 2961 Answer: a)

119 + 784 ÷ 32 x 116 = ? a) 2961 b) 3121 c) 2564 d) 2861 e) 2941

Description : 119 + 784 ÷ 32 x 116 = ? a) 2961 b) 3121 c) 2564 d) 2861 e) 2941

Last Answer : 119 + 784 ÷ 32 x 116 = ? Sol: 119 + 24.5 x 116 =? 119 + 2842 = ? ? = 2961 Answer: a)

When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the same number is divided by 12? a) 17 b) 7 c) 34 d) 19

Description : When a number is divided by 36, it leaves a remainder of 19. What will be the remainder when the same number is divided by 12? a) 17 b) 7 c) 34 d) 19

Last Answer : b) 7

How many numbers greater than 400 can be formed with digits 3,4,8,9 with no digits being repeated? a) 24 b) 18 c) 42 d) 45

Description : How many numbers greater than 400 can be formed with digits 3,4,8,9 with no digits being repeated? a) 24 b) 18 c) 42 d) 45

Last Answer : c) 42

Find the sum of divisors of 544 which are perfect squares. a) 32 b) 64 c) 68 d) 21

Description : Find the sum of divisors of 544 which are perfect squares. a) 32 b) 64 c) 68 d) 21

Last Answer : d) 21

A building which is 64 meters high casts a shadow of length 96 meters. The height of a telephone tower which casts a shadow of 180 meters under similar conditions will be a) 100m b) 120m c) 180m d) 96m

Description : A building which is 64 meters high casts a shadow of length 96 meters. The height of a telephone tower which casts a shadow of 180 meters under similar conditions will be a) 100m b) 120m c) 180m d) 96m

Last Answer : b) 120m

What is the highest power of 3 in 165!? a) 80 b) 81 c) 79 d) 73

Description : What is the highest power of 3 in 165!? a) 80 b) 81 c) 79 d) 73

Last Answer : b) 81

Which one of the following numbers can be removed from the set S= {0,2,4,5,9}, without changing the average of the set? a) 0 b) 2 c) 4 d) 5

Description : Which one of the following numbers can be removed from the set S= {0,2,4,5,9}, without changing the average of the set? a) 0 b) 2 c) 4 d) 5

Last Answer : c) 4