mathematics MCQs – Page 55

Practise multiple-choice questions from mathematics for competitive examinations and subject revision. Review each marked answer and report any item that may be outdated or unclear.

2701. The smallest number which when divided by 20, 25, 35 and 40 leaves a remainder of 14, 19, 29 and 34 respectively is________?
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A. 1994

B. 1494

C. 1349

D. 1496

2702. LCM of 87 and 145 is_______?
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A. 875

B. 48

C. 1305

D. 435
2703. H.C.F of 3240, 3600 and a third number is 36 and their L.C.M is 2<sup>4
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A. 2<sup>5</sup>* 5<sup>2</sup>* 7<sup>2</sup>

B. 2<sup>3</sup>* 3<sup>5</sup>* 7<sup>2</sup>

C. 2<sup>2</sup>* 5<sup>3</sup>* 7<sup>2</sup>

D. 22* 35* 72
2704. Five bells first begin to toll together and then at intervals of 5, 10, 15, 20 and 25 seconds respectively. After what interval of time will they toll again together?
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A. None

B. 5 min

C. 5.2 min

D. 5.5 min

2705. Product of two co-prime numbers is 117. Their L.C.M should be__________?
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A. equal to their H.C.F

B. 117

C. Cannot be calculated

D. 1

2706. The product of two numbers is 4107. If the H.C.F of these numbers is 37, then the greater number is_________?
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A. 107

B. 101

C. 185

D. 111
2707. 1095/1168 when expressed in simplest form is:
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A. 15/16

B. 25/26

C. 17/26

D. 13/16

2708. Find the least number of five digits which is exactly divisible by 12, 15 and 18?
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A. 10025

B. 1080

C. 10080

D. 11080

2709. The G.C.D of 1.08, 0.36 and 0.9 is________?
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A. 0.9

B. 0.108

C. 0.03

D. 0.18
2710. Two numbers 4242 and 2903 when divided by a certain number of three digits, leave the same remainder. Find the number?
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A. 101

B. 107

C. 103

D. 113

2711. LCM of two numbers is 138. But their (Greatest common divisor) GCD is 23. The numbers are in a ratio 1:6. Which is the largest number amongst the two?
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A. 46

B. 138

C. 23

D. 69

2712. The product of two numbers is 2025 and their HCF is 15 their LCM is____________?
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A. 2040

B. 2010

C. 150

D. 135
2713. The least number which when divided by 16, 18 and 21, leave the remainder 3, 5 and 8 respectively is___________?
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A. 995

B. 893

C. 982

D. 1024

2714. The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above conditions is__________?
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A. 6

B. 12

C. 4

D. 8

2715. A gardener was asked a plant flowers in a row containing equal number of plants. He tried to plant 6, 8, 10 and 12 in each row, but 5 plants left in each case. When he planted 13 in a row, no plant was left. Find the number of plants with him?
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A. 485

B. 245

C. 125

D. 845
2716. The greatest number of five digits which is divisible by 32, 36, 40, 42 and 48 is_________?
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A. 90730

B. 90715

C. 90725

D. 90720
2717. A wholesale tea dealer 408 kilograms, 468 kilograms and 516 kilograms of three different qualities of tea. He wants it all to be packed into boxes of equal size without mixing. Find the capacity of the largest possible box?
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A. 12

B. 50

C. 24

D. 36

2718. Find the H.C.F of 204, 1190 and 1445?
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A. 17

B. 204

C. 34

D. 85

2719. A heap of stones can be made up into groups of 21. When made up into groups of 16, 20, 25 and 45 there are 3 stones left in each case. How many stones at least can there be in the heap?
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A. 7203

B. 3603

C. 4803

D. 2403

2720. A drink vendor has 80 liters of Maaza, 144 liters of Pepsi and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesnt want to mix any two drinks in a can. What is the least number of cans required?
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A. 42

B. 37

C. 35

D. 30

2721. There are four prime numbers written in ascending order of magnitude. The product of the first three is 385 and of the last three is 1001. Find the fourth number?
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A. 11

B. 7

C. 5

D. 13

2722. Find the lowest 4-digit number which when divided by 3, 4 or 5 leaves a remainder of 2 in each case?
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A. 1030

B. 1022

C. 1020

D. 1026

2723. The wheels revolve round a common horizontal axis. They make 15, 20 and 48 revolutions in a minute respectively. Starting with a certain point on the circumference down wards. After what interval of time will they come together in the same position?
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A. 2 min

B. None

C. 3 min

D. 1 min
2724. LCM of 455, 117, 338 is________?
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A. 107470

B. 104670

C. 106470

D. 10670

2725. Find the greatest number of four digits which when divided by 10, 15, 21 and 28 leaves 4, 9, 15 and 22 as remainders respectively?
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A. 9666

B. 9864

C. 9654

D. 9664

2726. Greatest Common Divisor of two numbers is 8 while their Least Common Multiple is 144. Find the other number if one number is 16.
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A. 96

B. 36

C. 72

D. 108

2727. Find the size of the largest square slabs which can be paved on the floor of a room 5 meters 44 cm long and 3 meters 74 cm broad?
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A. 38

B. 34

C. 56

D. 42

2728. The H.C.F of two numbers is 8. Which of the following can never be their L.C.M?
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A. 56

B. 60

C. 48

D. 24

2729. The L.C.M of two numbers is 48. The numbers are in the ratio 2:3. The sum of numbers is__________?
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A. 40

B. 64

C. 32

D. 28

2730. The H.C.F and L.C.M of two numbers are 84 and 21 respectively. If the ratio of the two numbers is 1:4, then the larger of the two numbers is____________?
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A. 84

B. 48

C. 108

D. 12

2731. Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is________?
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A. 89

B. 81

C. 85

D. 75

2732. The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is_________?
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A. 305

B. 235

C. 127

D. 123

2733. The least number of four digits which is divisible by 15, 25, 40 and 75 is_________?
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A. 9800

B. 9400

C. 9600

D. 9000

2734. What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
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A. 2520

B. 630

C. 1260

D. 196

2735. The H.C.F of two numbers is 11 and their L.C.M is 7700. If one of the numbers is 275, then the other is__________?
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A. 279

B. 308

C. 283

D. 318

2736. The least number of four digits which is divisible by 4, 6, 8 and 10 is_________?
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A. 1080

B. 1095

C. 1085

D. 1075

2737. A man can row at 5 km/hr in still water, if the river is running at 1 km/hr it takes him 75 minutes to row to a place and back. How far is the place?
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A. 5 km

B. 4 km

C. 2.5km

D. 3km
2738. A boat running upstream takes 8 hours 48 min to cover a certain distance while it takes 4 hours to cover the same distance running downstream. What is the ratio between the speed of the boat and the speed of water current respectively?
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A. Cannot be determined

B. 2:01

C. 8 : 3

D. 3:01

2739. A boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes. How long will it take to go 5 km in stationary water?
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A. 1 hr 15 min

B. 1 hour

C. 1 hr 30 min

D. 40 minutes

2740. A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and black. How far is the place?
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A. 3.12 km

B. 3 km

C. 2.88 km

D. 2 km

2741. A man can row with a speed of 15 kmph in still water. If the stream flows at 5 kmph, then the speed in downstream is________?
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A. 10 kmph

B. 5 kmph

C. 22 kmph

D. 20 kmph
2742. The speed of a boat in still water is 60kmph and the speed of the current is 20kmph. Find the speed downstream and upstream?
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A. 50, 55 kmph

B. 35, 25 kmph

C. 80, 40 kmph

D. 40, 60 kmph

2743. The time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream. If the speed of the boat in still water is 42 kmph, find the speed of the stream?
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A. 14 kmph

B. 15 kmph

C. 13 kmph

D. 12 kmph

2744. A man can row a boat at 20 kmph in still water. If the speed of the stream is 6 kmph, what is the time taken to row a distance of 60 km downstream?
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A. 20/6 hours

B. 30/13 hours

C. 30 hours

D. 27/2 hours

2745. In a river, a man takes 3 hours in rowing 3 km upstream or 15 km downstream. What is the speed of the current?
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A. 9km/hr

B. 2km/hr

C. 6km/hr

D. 4km/hr

2746. A man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream. The ratio of the speed of the boat (in still water) and the stream is________?
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A. 4:03

B. 3:02

C. 2:01

D. 3 : 1
2747. A person can row at 9 kmph and still water. He takes 4 1/2 hours to row from A to B and back. What is the distance between A and B if the speed of the stream is 1 kmph?
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A. None of these

B. 28 km

C. 25 km

D. 24 km

E. 32 km

2748. A man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph, find his average speed for the total journey?
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A. 10 kmph

B. 8 kmph

C. 2 kmph

D. 4 kmph
2749. The current of a stream runs at the rate of 4 kmph. A boat goes 6 km and back to the starting point in 2 hours, then find the speed of the boat in still water?
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A. 8 kmph

B. 12 kmph

C. 10 kmph

D. 21 kmph

2750. The speed of a boat in still water is 5 km/hr, it can go 30km upstream and return downstream to the original point in 4 hours 30 min. The speed of the stream is_______?
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A. 10 km/hr

B. 15 km/hr

C. 5km/hr

D. 8 km/hr