Description : I forgot the last digit of a 7-digit telephone number. If I randomly dial the final 3 digits after correctly dialing the first four, then what is the chance of dialing the correct number? a) 1/1001 b) 1/1000 c) 1/999 d) 1/990
Last Answer : b) 1/1000
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
Description : The maximum number of boys among which 1001 balls and 910 bats can be distributed in such a way that each boy gets the same number of balls and bats is a) 91 b) 910 c) 1001 d) 1911
Last Answer : a) 91
Description : 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
Last Answer : c) 55/221
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
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
Description : 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
Last Answer : c) 2/5
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
Description : Is -501-502 rational or irrational?
Last Answer : 1
Description : The back staff reading on a B.M. of R.L. 500.000 m is 2.685 m. If foresight reading on a point is 1.345 m, the reduced level of the point, is (A) 502.685 m (B) 501.345 m (C) 501.340 m (D) 504.030 m
Last Answer : (C) 501.340 m
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
Description : An integer is chosen at random from the first two hundred positive integers. What is the probability that the integer chosen is divisible by 6 or 8 ? -Maths 9th
Last Answer : As there are 200 integers, total number of exhaustive, mutually exclusive and equally likely cases, i.e, n(S) = 200 Let A : Event of integer chosen from 1 to 200 being divisible by 6⇒ n(A) = 33 \(\bigg(rac{200}{6}=33rac{1}{3}\ ... (rac{25}{200}\) - \(rac{8}{200}\) = \(rac{50}{200}\) = \(rac{1}{4}\).
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
Description : 1.5 2.5 7 24 100 ? a) 500 b) 504 c) 505 d) 503 e) None of these
Last Answer : 1.5 * 1 + 1 = 2.5 2.5 * 2 + 2 = 7 7 * 3 + 3 = 24 Answer: c)
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
Description : If a number x is chosen at random from the numbers -2, -1, 0 1, 2. What is the probability that x 2 < 2? a. 2/5 b. 3/5 c. 1/4 d. 4/7
Last Answer : b. 3/5
Description : From a total of six men and four ladies, a committee of three is to be formed. If Mrs.X is not willing to join the committee in which Mr.Y is a member, whereas Mr.Y is willing to join the committee only if Mrs.Z is included. How many such committees are possible? a) 138 b) 128 c) 112 d) 91
Last Answer : d) 91
Description : Four equal sized maximum circular plates are cut off from a square sheet of area 784 cm2. What is the circumference of each plate? a) 22 cm b) 44 cm c) 42 cm d) 40cm
Last Answer : b) 44 cm
Description : What is the greatest 6-digit number that is divisible by 15, 24 and 28? a) 999650 b)999600 c)999825 d)999570
Last Answer : b)999600
Description : If n integers taken at random are multiplied together, then the probability that the last digit of the product is 1, 3, 7 or 9 is -Maths 9th
Last Answer : (d) 226 × 52C26 | 104C26Since there are 52 distinct cards in a deck and each distinct card is 2 in number.∴2 decks will also contain only 52 distinct cards, two each.∴ Probability that the player gets all distinct cards = \(rac{^{52}C_{26} imes2^{26}}{^{104}C_{26}}\).
Description : A can do a work in 15 days and B in 20 days. If they work together for 4 days, then the fraction of work that is left is a) 7/15 b) 8/10 c) 8/15 d) 7/20
Last Answer : c) 8/15
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
Description : There are three events A, B and C , one of which must and only can happen. If the odds are 8:3 against A, 5:2 against B, then the odds against C must be: e) 13:7 f) 3:2 g) 43:77 h) 43:34
Last Answer : Answer : d
Description : A committee is to be formed comprising 7 members such that there is a simple majority of men and at-least 1 woman. The shortlist consists of 9 men and 6 women. In how many ways can this committee be formed? a) 3724 b) 4914 c) 3928 d) 4913
Last Answer : b) 4914
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
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
Description : Find the number of divisors of 2475 that are not perfect squares? a) 14 b) 16 c) 20 d) 10
Last Answer : a) 14
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
Description : There are 2 vessels. 1st vessel contains 5white and 5 blue thread roll. 2nd vessel contains 4 white and 6 black thread roll. One roll is taken at random from first vessel and put to second vessel without noticing its color ... second roll being a white colored roll? A) 11/13 B) 9/11 C) 13/11 D) 5/12
Last Answer : Answer: B) Case 1: first was a white roll Now it is put in second vessel, so total white rolls in second vessel = 4+1 = 5, and total rolls in second vessel = 10+1 = 11 So probability of white roll ... = 5/11+4/11 = 9/11 (added the cases because we want one of these cases to happen and not both)
Description : Three points A, B and C 500 m apart on a straight road have 500 m, 505 m and 510 m as their reduced levels. The road is said to have (A) No gradient between A and C (B) A positive gradient between A and C (C) A negative gradient between A and C (D) A negative gradient between A and B
Last Answer : Answer: Option D
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)
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)
Description : Find the sum of divisors of 544 which are perfect squares. a) 32 b) 64 c) 68 d) 21
Last Answer : d) 21
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
Description : What is the highest power of 3 in 165!? a) 80 b) 81 c) 79 d) 73
Last Answer : b) 81
Description : Twenty workers can complete a piece of work in 30 days. After how many days should 5 workers leave the job so that the work is completed in 35 days? a) 5 days b) 10 days c) 15 days d) 20 days
Last Answer : c) 15 days
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
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
Description : A flag staff 17.5 m high casts a shadow of length 40.25m. What will be the height of a building, which casts a shadow of length 28.75m under similar conditions? a) 14m b) 11.4m c) 13.5m d) 12.5 m
Last Answer : d) 12.5 m
Description : The external length, breadth and height of a closed box are 10cm, 9cm and 7cm respectively. The total inner surface area of the box is 262 sq.cm. If the walls of the box are of uniform thickness “t” cm, then “t” equals a) 1cm b) 23/3 cm c) 28/9 cm d) 42.5 cm
Last Answer : a) 1cm
Description : Fresh grapes contain 70% of water while dry grapes contain 30% of water. Find the weight of dry grapes which contain the same quantity of water as 30kg of fresh grapes? a) 30kg b) 40kg c) 70kg d) 80 kg
Last Answer : c) 70kg
Description : In how many ways can the letters of the word EDUCATION be rearranged such that the relative positions of the vowels and the consonants remain the same as in the word EDUCATION? a) 9!/4 b) 4!*5! c) 4!*5 d) 9!-4!
Last Answer : b) 4!*5!
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
Description : If a clock strikes once at 1’o clock, twice at 2’o clock and twelve times at 12’o clock and again once at 1’o clock and so on, how many times will the clock strike in the course of 2 days? a) 156 b) 312 c) 78 d) 288
Last Answer : b) 312
Description : A cylindrical drum of 15cm radius and 70cm height is full of water. The water is emptied into a rectangular tank 225cm long and 70cm wide. Find the height of water level in the tank. a) 3.5cm b) 2.25cm c) 3.142cm d) 1.57cm
Last Answer : c) 3.142cm
Description : The cost of preparing a cricket ground of rectangular shape at 70 paisa per square meter is Rs.508.20. Find the perimeter of the field if its sides are in the ratio 3:2 a) 121m b) 96m c) 55m d) 110m
Last Answer : d) 110m
Description : On Ashok marg, three consecutive traffic lights change after 36, 42 and 72 seconds respectively. If the lights are switched on at 9.00 A.M sharp, at what time will they change simultaneously? a) 9 :08 :44 b) 9:08:24 c) 9:08:04 d) 9:08:34
Last Answer : b) 9:08:24
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