Hamdha/math-mcq-generation · Datasets at Hugging Face

SR No string	Question string	Option A string	Option B string	Option C string	Option D string	Option E string	Correct Answer string	Grade string	DOK string	Topic string	Bloom's Level string	Difficulty string	Standard Code string	Source string
1	a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?	1 / 5	2 / 7	2 / 9	3 / 10	4 / 11	C	7	3	Statistics and Probability	3	Hard	7.SP.C.7	Allenai
2	what must be added to each term of the ratio 7 : 11 , so as to make it equal to 3 : 4 ?	8	7.5	6.5	5	6	d	6	3	Ratios and proportions	4	Medium	6.RP.A.1	Allenai
3	when x is multiplied by 3 , the result is 4 more than the result of subtracting x from 16 . what is the value of x ?	- 4	- 2	5	13	22	c	6	2	Expressions and Equations	3	Easy	6.EE.B.7	Allenai
4	find a number such that when 15 is subtracted from 7 times the number , the result is 10 more than twice the number .	1	4	5	0	3	c	6	2	Expressions and Equations	3	Easy	6.EE.B.7	Allenai
5	find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm	178 cm 2	179 cm 2	285 cm 2	167 cm 2	228 cm 2	e	6	1	Geometry	3	Easy	6.G.A.1	Allenai
6	a certain sum of money is divided among a , b and c so that for each rs . a has 80 paisa , b has 65 paisa and c 40 paisa . if c ' s share is rs . 40 , find the sum of money ?	rs . 185	rs . 410	rs . 285	rs . 385	rs . 475	a	6	3	Ratios and proportions	4	Medium	6.RP.A.3	Allenai
7	if 0.5 % of a = 80 paise , then the value of a is ?	rs . 170	rs . 160	rs . 1.70	rs . 4.25	none	b	6	1	Ratios and proportions	3	Easy	6.RP.A.1	Allenai
8	if the ratio of a to b is 11 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?	4 / 15	11 / 15	2 / 5	4 / 5	7 / 6	b	6	2	Ratios and proportions	3	Easy	6.RP.A.1	Allenai
9	walking at the rate of 3 kmph a man cover certain distance in 3 hr 20 min . running at a speed of 9 kmph the man will cover the same distance in .	45 min	50 min	40 min	48 min	54 min	e	6	4	Ratios and proportions	4	Hard	6.RP.A.3b	Allenai
10	if the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?	4 / 15	1 / 3	2 / 5	4 / 5	7 / 6	a	6	1	Ratios and proportions	3	Easy	6.RP.A.3d	Allenai
11	how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 6 ?	5	6	7	8	9	d	6	2	Number System	3	Medium	6.NS.B.2	Allenai
12	how many even multiples of 55 are there between 549 and 1101 ?	5	6	9	10	11	b	6	2	Number System	3	Medium	6.NS.C.7	Allenai
13	if two positive numbers are in the ratio 1 / 8 : 1 / 7 , then by what percent is the second number more than the first ?	14.3 % .	70 % .	60 % .	68 % .	80 % .	a	6	1	Ratios and proportions	2	Easy	6.RP.A.3c	Allenai
14	car a runs at the speed of 65 km / hr & reaches its destination in 8 hr . car b runs at the speed of 70 km / h & reaches its destination in 5 h . what is the respective ratio of distances covered by car a & car b ?	11 : 6	52 : 35	13 : 7	15 : 6	13 : 6	b	6	3	Ratios and proportions	3	Hard	6.RP.A.3b	Allenai
15	if the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?	4 / 15	1 / 3	2 / 15	4 / 5	7 / 6	c	6	2	Ratios and proportions	3	Easy	6.RP.A.1	Allenai
16	the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 28 years . the ratio of their ages after 5 years will be	22 : 17	9 : 11	5 : 4	4 : 5	8 : 11	a	6	2	Ratios and proportions	3	Easy	6.RP.A.3	Allenai
17	the ratio of two quantities is 3 to 4 . if each of the quantities is increased 4 and 3 respectively , what is the ratio of these two new quantities ?	3 / 4	8 / 9	18 / 19	23 / 24	it can not be determined from the information given	e	6	2	Ratios and proportions	3	Easy	6.RP.A.3	Allenai
18	a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 3.5 t seconds , then what is the length of the platform ?	0.5 l	1.5 l	2.5 l	3.5 l	4.5 l	C	6	3	Ratios and proportions	4	Hard	6.RP.A.3b	Allenai
19	find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm .	150 sq . cm'	120 sq . cm'	130 sq . cm'	125 sq . cm'	110 sq . cm']	B	6	2	Geometry	3	Easy	6.G.A.1	Allenai
20	thabo owns exactly 180 books , and each book is either paperback fiction , paperback nonfiction , or Hardcover nonfiction . if he owns 20 more paperback nonfiction books than Hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many Hardcover books nonfiction books ...	10	20	30	40	50	C	6	3	Expressions and Equations	3	Medium	6.EE.C.9	Allenai
21	in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.36 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]	0.33	0.44	0.48	44	48	E	6	3	Expressions and Equations	3	Medium	6.EE.C.9	Allenai
22	a man can swim in still water at 6 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?	3	7.5	2.25	2	4	D	6	2	Ratios and proportions	3	Medium	6.RP.A.3b	Allenai
23	the cross - section of a cannel is a trapezium in shape . if the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross - section is 10290 sq m , the depth of cannel is ?	258	260	262	264	266	A	6	3	Geometry	4	Hard	6.G.A.1	Allenai
24	a man swims downstream 30 km and upstream 18 km taking 6 hours each time , what is the speed of the man in still water ?	7	8	5	2	4	E	6	3	Ratios and proportions	4	Hard	6.RP.A.3b	Allenai
25	in what time will a train 140 meters long cross an electric pole , if its speed is 210 km / hr	5 seconds	4.5 seconds	3 seconds	2.4 seconds	none of these	D	6	2	Ratios and proportions	3	Medium	6.RP.A.3b	Allenai
26	find the number of factors of 180 that are in the form ( 4 * k + 2 ) , where k is a non - negative integer ?	1	2	3	4	6	E	6	2	Number System	3	Medium	6.NS.B.4	Allenai
27	if the product 4864 * 9 p 2 is divisible by 12 , the value of p ?	1	5	6	7	9	A	6	2	Number System	3	Hard	6.NS.B.3	Allenai
28	if x is divided by 7 , the remainder is 5 . what is the remainder if 4 x is divided by 7 ?	1	2	4	6	8	D	6	2	Number System	3	Medium	6.NS.B.3	Allenai
29	what is the greatest prime factor of (4^6)-1 ?	13	17	19	23	29	A	6	2	Number System	3	Easy	6.NS.B.4	Allenai
30	meena wrote all the numbers from 1 to 39,999 inclusive . how many digits did she write in total ?	156	188	192	241	275	B	6	1	Number System	2	Easy	6.NS.B.3	Allenai
31	how many seconds will a 620 metre long train take to cross a man running with a speed of 8 km / hr in the direction of the moving train if the speed of the train is 80 km / hr ?	25	30	31	45	60	C	6	3	Ratios and proportions	4	Hard	6.RP.A.3b	Allenai
32	7 , 26 , 63 , 124 , ( . . . . )	342	125	289	564	36	A	6	3	Number System	4	Medium	6.NS.C.7	Allenai
33	a train speeds past a pole in 15 seconds and a platform 150 meters long in 25 seconds . what is the length of the train ( in meters ) ?	205	215	225	235	245	C	6	3	Ratios and proportions	4	Hard	6.RP.A.3b	Allenai
34	a train running at the speed of 80 km / hr crosses a pole in 9 sec . what is the length of the train ?	227 m	150 m	187 m	167 m	200 m	E	6	3	Ratios and proportions	4	Hard	6.RP.A.3b	Allenai
35	if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ?	120	110	130	140	150	D	6	1	Geometry	3	Easy	6.G.A.4	Allenai
36	what is the remainder when (7 ^ 74 )- (5 ^74) is divided by 8 ?	0	2	0	3	none of these	C	6	1	Number System	3	Easy	6.NS.B.3	Allenai
37	in a urban village of india named ` ` owlna ' ' , 70 % people have refrigerator , 75 % people have television , 65 % people got computers and 95 % got air - conditionor . how many people ( minimum ) got all these luxury .	5 %	7 %	3 %	9 %	15 %	A	6	2	Statistics and Probability	3	Easy	6.SP.A.3	Allenai
38	tough and tricky questions : word problems . a salesman ' s income consists of commission and base salary . his weekly income totals over the past 5 weeks have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) income over the next two weeks be to decrease his average weekly income...	$ 350	$ 400	$ 365	$ 385	$ 375	C	6	2	Statistics and Probability	3	Medium	6.SP.A.3	Allenai
39	what is the greatest possible length which can be used to measure exactly the lengths 10 m , 14 m 50 cm and 20 m 40 cm cm ?	20 cm	10 cm	25 cm	50 cm	28 cm	B	6	2	Number System	3	Easy	6.NS.B.4	Allenai
40	there are 4 more women than there are men on a local co - ed softball team . if there are a total of 14 players on the team , what is the ratio of men to women ?	10 / 16	6 / 16	4 / 16	6 / 10	5 / 9	E	6	2	Ratios and proportions	3	Medium	6.RP.A.3	Allenai
41	find the lowest positive integer that can be divided by all the even numbers between 14 and 21 .	4581	5040	3682	1231	1563	B	6	2	Number System	3	Easy	6.NS.B.4	Allenai
42	rachel and sarah spent $ 8 for gasoline , $ 15.65 for their lunch , and $ 5 apiece for gifts for grandma . grandma gave each of them $ 10 . if the girls left home with a total of $ 50 , how much do they have for the return trip ?	$ 36.35	$ 26.35	$ 16.35	$ 46.35	$ 56.35	A	6	2	Number System	3	Easy	6.NS.C.8	Allenai
43	how many positive integers less than 248 are multiple of 4 but not multiples of 6 ?	20	41	42	53	64	B	6	2	Number System	3	Medium	6.NS.B.4	Allenai
44	how many positive even integers less than 100 contain digits 4 or 7 ?	16	17	18	19	20	C	6	2	Number System	3	Easy	6.NS.B.4	Allenai
45	how many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both ?	13	19	15	16	17	B	6	2	Number System	3	Medium	6.NS.B.4	Allenai
46	how many times digit 7 is used while writing numbers from 1 to 300 ?	28	42	41	35	49	B	6	3	Number System	4	Hard	6.NS.C.6	Allenai
47	the ratio of pens to pencils is 5 to 6 . there are 5 more pencils than pens . how many pencils are there ?	24	30	36	42	48	B	6	2	Ratios and proportions	3	Easy	6.RP.A.3	Allenai
48	two numbers are in the ratio 3 : 4 . if their l . c . m . is 36 . what is sum of the numbers ?	21	56	76	84	85	A	6	2	Number System	3	Medium	6.NS.B.4	Allenai
49	a grocery shop has a sale of rs . 6635 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?	4857	4184	4012	4791	5291	D	6	1	Statistics and Probability	3	Easy	6.SP.A.3	Allenai
50	1,5 , 13,25 , __	26	30	31	41	43	D	6	1	Number System	3	Easy	6.NS.B.3	Allenai
51	a snail , climbing a 20 feet high wall , climbs up 4 feet on the first day but slides down 2 feet on the second . it climbs 4 feet on the third day and slides down again 2 feet on the fourth day . if this pattern continues , how many days will it take the snail to reach the top of the wall ?	12	16	17	20	21	C	6	3	Expressions and Equations	4	Hard	6.EE.B.6	Allenai
52	a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 50 , how many horses are there ?	10	12	14	16	18	A	6	3	Expressions and Equations	4	Medium	6.EE.B.6	Allenai
53	a profit of rs . 20000 is to be distributed among a , b , c in the proportion 2 : 3 : 5 . what will be the difference between b ’ s and c ’ s shares	4000	3000	5500	4500	none of these	A	6	2	Ratios and proportions	3	Medium	6.RP.A.1	Allenai
54	all the faces of a cube are painted with blue colour . then it is cut into 125 small equal cubes . how many small cubes will be formed having only one face coloured ?	54	8	16	24	34	A	6	3	Geometry	4	Hard	6.G.A.4	Allenai
55	rose made a part payment of $ 300 toward buying a brand new car , which represents 5 % of the total cost of the car , how much remains to be paid ?	$ 5700	$ 5500	$ 5800	$ 5200	$ 5880	A	6	2	Ratios and proportions	3	Easy	6.RP.A.3c	Allenai
56	john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 5 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ?	59	65	70	77	98	A	6	2	Ratios and proportions	3	Easy	6.RP.A.3	Allenai
57	lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire . how many photos has claire taken ?	5	8	11	12	14	A	6	2	Expressions and Equations	3	Easy	6.EE.B.7	Allenai
58	10 % of a number is added to 45 , the result is the same number . find the number ?	50	288	270	129	281	A	6	2	Ratios and proportions	3	Easy	6.RP.A.3c	Allenai
59	how much is 85 % of 40 is greater than 4 / 5 of 25 ?	22	14	88	12	66	B	6	2	Number System	3	Medium	6.NS.B.3	Allenai
60	in the fifth grade at parkway elementary school there are 450 students . 320 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?	69 .	73 .	81 .	95 .	108 .	D	6	2	Ratios and proportions	3	Medium	6.RP.A.3c	Allenai
61	the area of a rectangle is 63 sq m . the width is two meters shorter than the length . what is the width ?	9'	7'	- 9'	11'	6']	B	6	2	Expressions and Equations	3	Medium	6.EE.B.7	Allenai
62	you collect baseball cards . suppose you start out with 11 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the en...	12	18	19	20	21	A	6	2	Expressions and Equations	3	Medium	6.EE.B.7	Allenai
63	the sum of the ages of 4 children born at the intervals of 4 years each is 36 years . what is the age of the youngest child ?	3	18	10	99	38	A	6	2	Expressions and Equations	3	Medium	6.EE.B.7	Allenai
64	a car covers a distance of 200 km in 2 hours 40 minutes , whereas a jeep covers the same distance in 2 hours . what is the ratio of t	3 : 4	4 : 3	4 : 5	5 : 4	8 : 7	A	6	2	Ratios and proportions	3	Medium	6.RP.A.3	Allenai
65	joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 6 of the remaining paint . how many gallons of paint has joe used ?	18	135	175	216	250	B	6	3	Number System	4	Hard	6.NS.A.1	Allenai
66	when n is divided by 20 , the remainder is 5 . what is the remainder when n + 16 is divided by 5 ?	1	3	4	5	6	A	6	2	Number System	3	Medium	6.NS.B.2	Allenai
67	i spend 40 hours a week ( 5 days ) at work and like to organize my time so that i spend an equal number of hours on the two tasks i currently have . currently , i am spending 5 hours a day on task 1 and 3 on task 2 . how many hours a week less do i need to spend on task 1 in order to evenly distribute my time ?	5	3	7	1	6	A	6	3	Expressions and Equations	4	Hard	6.EE.B.6	Allenai
68	the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the youngest child ?	2 year	8 year	10 year	none of these	9 year	A	6	2	Expressions and Equations	4	Medium	6.EE.B.6	Allenai
69	david has $ 1,500 at the beginning of his trip , after spending money , he still has exactly $ 500 less than he spent on the trip . how much money does john still have ?	$ 200	$ 400	$ 500	$ 800	$ 1	C	6	2	Expressions and Equations	3	Easy	6.EE.B.7	Allenai
70	what is the least number which when divided by 7 , 9 , 12 and 18 leaves remainder 4 in each care ?	230	240	236	256	266	D	6	3	Number System	4	Hard	6.NS.B.4	Allenai
71	what is (2 2 / 3) - (1 1 / 4) divided by (1 / 2) -( 1 / 5) ?	17 / 36	36 / 17	17 / 6	17 / 4	85 / 18	E	6	1	Number System	2	Easy	6.NS.A.1	Allenai
72	the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 20 , 60 , and what number ?	25	30	35	40	45	A	6	2	Statistics and Probability	2	Easy	6.SP.A.3	Allenai
73	total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3 / 4 liter milk 25 cow gives each 1 / 4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how ?	10	12	15	25	18	D	6	3	Ratios and proportions	4	Hard	6.RP.A.3	Allenai
74	what is 120 % of 13 / 24 of 840 ?	436	478	512	546	620	D	6	2	Ratios and proportions	3	Easy	6.RP.A.3c	Allenai
75	an amount of rs . 3120 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of a ?	1320	1196	1210	1440	1050	D	6	2	Ratios and proportions	3	Medium	6.RP.A.3	Allenai
76	what is the units digit of ( 498 ) ( 915 ) ( 381 ) ( 756 ) ( 29 )	0	1	2	5	6	C	6	2	Number System	3	Medium	6.NS.B.2	Allenai
77	evaluate : 56 - 12 * 3 * 2 = ?	42	48	62	72	82	B	6	1	Expressions and Equations	3	Easy	6.EE.A.1	Allenai
78	if the remainder is 7 when positive integer n is divided by 10 , what is the remainder when n is divided by 5 ?	0	1	2	3	2	E	6	2	Number System	3	Medium	6.NS.B.2	Allenai
79	find the value of 3 + 2 • ( 8 – 3 )	( a ) 25	( b ) 13	( c ) 17	( d ) 24	( e ) 15	D	6	1	Expressions and Equations	3	Easy	6.EE.A.1	Allenai
80	dacid obtained 86 , 89 , 82 , 87 and 81 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	79	99	88	85	75	D	6	2	Statistics and Probability	3	Medium	6.SP.A.3	Allenai
81	8900 ÷ 6 ÷ 4 = ?	349	541.75	224.37	370.833	none of these	D	6	1	Number System	3	Easy	6.NS.B.2	Allenai
82	the duplicate ratio of 2 : 3 is ?	4 : 9	1 : 4	1 : 8	1 : 18	1 : 13	A	6	2	Ratios and proportions	2	Medium	6.RP.A.1	Allenai
83	the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ?	12	16	20	24	28	D	6	2	Ratios and proportions	3	Medium	6.RP.A.3	Allenai
84	how many pieces of 75 cm can be cut from a rope 45 meters long ?	30	40	60	none	can not be determined	C	6	2	Number System	3	Medium	6.RP.A.3d	Allenai
85	how many different positive integers are factors of 40 ?	3	2	1	6	4	D	6	2	Number System	3	Medium	6.NS.B.4	Allenai
86	the area of a triangle is with base 4 m and height 5 m ?	11'	10'	99'	17'	12']	B	6	1	Geometry	3	Easy	6.G.A.1	Allenai
87	if 1488 / 1.24 = 1200 , then 148.8 / 12.4 is equal to ?	17	10	14	12	11	D	6	2	Number System	3	Medium	6.NS.B.3	Allenai
88	the triplicate ratio of 1 : 7 is ?	1 : 7	1 : 8	1 : 343	1 : 1	1 : 2	C	6	1	Ratios and proportions	3	Easy	6.RP.A.1	Allenai
89	the sum of two consecutive integers is 21 . find the numbers .	17	7	10	1	8	C	6	2	Expressions and Equations	3	Medium	6.EE.B.7	Allenai
90	dacid obtained 72 , 45 , 72 , 77 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	67	68	87	26	75	B	6	2	Statistics and Probability	3	Easy	6.SP.B.5	Allenai
91	divide $ 1000 among a , b in the ratio 1 : 4 . how many $ that b get ?	$ 500	$ 800	$ 1000	$ 200	$ 750	B	6	2	Ratios and proportions	3	Medium	6.RP.A.3	Allenai
92	what is the area of square field whose side of length 8 m ?	225	64	772	882	21	B	6	1	Geometry	3	Easy	6.G.A.1	Allenai
93	kamal obtained 76 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	65	69	72	75	none	D	6	2	Statistics and Probability	3	Easy	6.SP.B.5	Allenai
94	find k if 32 / k = 4 .	6	7	8	4	3	C	6	1	Expressions and Equations	3	Easy	6.EE.B.7	Allenai
95	the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is :	22 cm'	20 cm'	18 cm'	10 cm'	none of these	C	6	3	Geometry	4	Hard	6.G.A.1	Allenai
96	the area of a triangle is with base 8.4 m and height 5.8 m ?	11.36 m 2	10.36 m 2	18.36 m 2	19.36 m 2	24.36 m 2	E	6	1	Geometry	3	Easy	6.G.A.1	Allenai
97	what is the area of square field whose side of length 14 m ?	225	196	266	288	261	B	6	1	Geometry	3	Easy	6.G.A.1	Allenai
98	a cab driver 5 days income was $ 200 , $ 150 , $ 750 , $ 400 , $ 500 . then his average income is ?	$ 420	$ 410	$ 400	$ 390	$ 380	C	6	2	Statistics and Probability	3	Easy	6.SP.B.5	Allenai
99	what will be the cost of building a fence around a square plot with area equal to 144 sq ft , if the price per foot of building the fence is rs . 58 ?	2784	2287	2977	2668	1298	A	6	2	Geometry	3	Medium	6.G.A.1	Allenai
100	12 times a number gives 156 . the number is	11	12	13	none	can not be determined	C	6	1	Expressions and Equations	3	Easy	6.EE.B.7	Allenai

1

a 9 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?

1 / 5

2 / 7

2 / 9

3 / 10

4 / 11

C

7

3

Statistics and Probability

3

Hard

7.SP.C.7

Allenai

2

what must be added to each term of the ratio 7 : 11 , so as to make it equal to 3 : 4 ?

8

7.5

6.5

5

6

d

6

3

Ratios and proportions

4

Medium

6.RP.A.1

Allenai

3

when x is multiplied by 3 , the result is 4 more than the result of subtracting x from 16 . what is the value of x ?

- 4

- 2

5

13

22

c

6

2

Expressions and Equations

3

Easy

6.EE.B.7

Allenai

4

find a number such that when 15 is subtracted from 7 times the number , the result is 10 more than twice the number .

1

4

5

0

3

c

6

2

Expressions and Equations

3

Easy

6.EE.B.7

Allenai

5

find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm

178 cm 2

179 cm 2

285 cm 2

167 cm 2

228 cm 2

e

6

1

Geometry

3

Easy

6.G.A.1

Allenai

6

a certain sum of money is divided among a , b and c so that for each rs . a has 80 paisa , b has 65 paisa and c 40 paisa . if c ' s share is rs . 40 , find the sum of money ?

rs . 185

rs . 410

rs . 285

rs . 385

rs . 475

a

6

3

Ratios and proportions

4

Medium

6.RP.A.3

Allenai

7

if 0.5 % of a = 80 paise , then the value of a is ?

rs . 170

rs . 160

rs . 1.70

rs . 4.25

none

b

6

1

Ratios and proportions

3

Easy

6.RP.A.1

Allenai

8

if the ratio of a to b is 11 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?

4 / 15

11 / 15

2 / 5

4 / 5

7 / 6

b

6

2

Ratios and proportions

3

Easy

6.RP.A.1

Allenai

9

walking at the rate of 3 kmph a man cover certain distance in 3 hr 20 min . running at a speed of 9 kmph the man will cover the same distance in .

45 min

50 min

40 min

48 min

54 min

e

6

4

Ratios and proportions

4

Hard

6.RP.A.3b

Allenai

10

if the ratio of a to b is 4 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?

4 / 15

1 / 3

2 / 5

4 / 5

7 / 6

a

6

1

Ratios and proportions

3

Easy

6.RP.A.3d

Allenai

11

how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 6 ?

5

6

7

8

9

d

6

2

Number System

3

Medium

6.NS.B.2

Allenai

12

how many even multiples of 55 are there between 549 and 1101 ?

5

6

9

10

11

b

6

2

Number System

3

Medium

6.NS.C.7

Allenai

13

if two positive numbers are in the ratio 1 / 8 : 1 / 7 , then by what percent is the second number more than the first ?

14.3 % .

70 % .

60 % .

68 % .

80 % .

a

6

1

Ratios and proportions

2

Easy

6.RP.A.3c

Allenai

14

car a runs at the speed of 65 km / hr & reaches its destination in 8 hr . car b runs at the speed of 70 km / h & reaches its destination in 5 h . what is the respective ratio of distances covered by car a & car b ?

11 : 6

52 : 35

13 : 7

15 : 6

13 : 6

b

6

3

Ratios and proportions

3

Hard

6.RP.A.3b

Allenai

15

if the ratio of a to b is 2 to 3 and the ratio of b to c is 1 to 5 , what is the ratio of a to c ?

4 / 15

1 / 3

2 / 15

4 / 5

7 / 6

c

6

2

Ratios and proportions

3

Easy

6.RP.A.1

Allenai

16

the ratio of the ages of mini and minakshi is 4 : 3 . the sum of their ages is 28 years . the ratio of their ages after 5 years will be

22 : 17

9 : 11

5 : 4

4 : 5

8 : 11

a

6

2

Ratios and proportions

3

Easy

6.RP.A.3

Allenai

17

the ratio of two quantities is 3 to 4 . if each of the quantities is increased 4 and 3 respectively , what is the ratio of these two new quantities ?

3 / 4

8 / 9

18 / 19

23 / 24

it can not be determined from the information given

e

6

2

Ratios and proportions

3

Easy

6.RP.A.3

Allenai

18

a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 3.5 t seconds , then what is the length of the platform ?

0.5 l

1.5 l

2.5 l

3.5 l

4.5 l

C

6

3

Ratios and proportions

4

Hard

6.RP.A.3b

Allenai

19

find the area of a rhombus having each side equal to 13 cm and one of whose diagonal is 24 cm .

150 sq . cm'

120 sq . cm'

130 sq . cm'

125 sq . cm'

110 sq . cm']

B

6

2

Geometry

3

Easy

6.G.A.1

Allenai

20

thabo owns exactly 180 books , and each book is either paperback fiction , paperback nonfiction , or Hardcover nonfiction . if he owns 20 more paperback nonfiction books than Hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many Hardcover books nonfiction books ...

10

20

30

40

50

C

6

3

Expressions and Equations

3

Medium

6.EE.C.9

Allenai

21

in a market , a dozen eggs cost as much as a pound of rice , and a half - liter of kerosene costs as much as 8 eggs . if the cost of each pound of rice is $ 0.36 , then how many cents does a liter of kerosene cost ? [ one dollar has 100 cents . ]

0.33

0.44

0.48

44

48

E

6

3

Expressions and Equations

3

Medium

6.EE.C.9

Allenai

22

a man can swim in still water at 6 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?

3

7.5

2.25

2

4

D

6

2

Ratios and proportions

3

Medium

6.RP.A.3b

Allenai

23

the cross - section of a cannel is a trapezium in shape . if the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross - section is 10290 sq m , the depth of cannel is ?

258

260

262

264

266

A

6

3

Geometry

4

Hard

6.G.A.1

Allenai

24

a man swims downstream 30 km and upstream 18 km taking 6 hours each time , what is the speed of the man in still water ?

7

8

5

2

4

E

6

3

Ratios and proportions

4

Hard

6.RP.A.3b

Allenai

25

in what time will a train 140 meters long cross an electric pole , if its speed is 210 km / hr

5 seconds

4.5 seconds

3 seconds

2.4 seconds

none of these

D

6

2

Ratios and proportions

3

Medium

6.RP.A.3b

Allenai

26

find the number of factors of 180 that are in the form ( 4 * k + 2 ) , where k is a non - negative integer ?

1

2

3

4

6

E

6

2

Number System

3

Medium

6.NS.B.4

Allenai

27

if the product 4864 * 9 p 2 is divisible by 12 , the value of p ?

1

5

6

7

9

A

6

2

Number System

3

Hard

6.NS.B.3

Allenai

28

if x is divided by 7 , the remainder is 5 . what is the remainder if 4 x is divided by 7 ?

1

2

4

6

8

D

6

2

Number System

3

Medium

6.NS.B.3

Allenai

29

what is the greatest prime factor of (4^6)-1 ?

13

17

19

23

29

A

6

2

Number System

3

Easy

6.NS.B.4

Allenai

30

meena wrote all the numbers from 1 to 39,999 inclusive . how many digits did she write in total ?

156

188

192

241

275

B

6

1

Number System

2

Easy

6.NS.B.3

Allenai

31

how many seconds will a 620 metre long train take to cross a man running with a speed of 8 km / hr in the direction of the moving train if the speed of the train is 80 km / hr ?

25

30

31

45

60

C

6

3

Ratios and proportions

4

Hard

6.RP.A.3b

Allenai

32

7 , 26 , 63 , 124 , ( . . . . )

342

125

289

564

36

A

6

3

Number System

4

Medium

6.NS.C.7

Allenai

33

a train speeds past a pole in 15 seconds and a platform 150 meters long in 25 seconds . what is the length of the train ( in meters ) ?

205

215

225

235

245

C

6

3

Ratios and proportions

4

Hard

6.RP.A.3b

Allenai

34

a train running at the speed of 80 km / hr crosses a pole in 9 sec . what is the length of the train ?

227 m

150 m

187 m

167 m

200 m

E

6

3

Ratios and proportions

4

Hard

6.RP.A.3b

Allenai

35

if the sides of a triangle are 30 cm , 28 cm and 10 cm , what is its area ?

120

110

130

140

150

D

6

1

Geometry

3

Easy

6.G.A.4

Allenai

36

what is the remainder when (7 ^ 74 )- (5 ^74) is divided by 8 ?

0

2

0

3

none of these

C

6

1

Number System

3

Easy

6.NS.B.3

Allenai

37

in a urban village of india named ` ` owlna ' ' , 70 % people have refrigerator , 75 % people have television , 65 % people got computers and 95 % got air - conditionor . how many people ( minimum ) got all these luxury .

5 %

7 %

3 %

9 %

15 %

A

6

2

Statistics and Probability

3

Easy

6.SP.A.3

Allenai

38

tough and tricky questions : word problems . a salesman ' s income consists of commission and base salary . his weekly income totals over the past 5 weeks have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) income over the next two weeks be to decrease his average weekly income...

$ 350

$ 400

$ 365

$ 385

$ 375

C

6

2

Statistics and Probability

3

Medium

6.SP.A.3

Allenai

39

what is the greatest possible length which can be used to measure exactly the lengths 10 m , 14 m 50 cm and 20 m 40 cm cm ?

20 cm

10 cm

25 cm

50 cm

28 cm

B

6

2

Number System

3

Easy

6.NS.B.4

Allenai

40

there are 4 more women than there are men on a local co - ed softball team . if there are a total of 14 players on the team , what is the ratio of men to women ?

10 / 16

6 / 16

4 / 16

6 / 10

5 / 9

E

6

2

Ratios and proportions

3

Medium

6.RP.A.3

Allenai

41

find the lowest positive integer that can be divided by all the even numbers between 14 and 21 .

4581

5040

3682

1231

1563

B

6

2

Number System

3

Easy

6.NS.B.4

Allenai

42

rachel and sarah spent $ 8 for gasoline , $ 15.65 for their lunch , and $ 5 apiece for gifts for grandma . grandma gave each of them $ 10 . if the girls left home with a total of $ 50 , how much do they have for the return trip ?

$ 36.35

$ 26.35

$ 16.35

$ 46.35

$ 56.35

A

6

2

Number System

3

Easy

6.NS.C.8

Allenai

43

how many positive integers less than 248 are multiple of 4 but not multiples of 6 ?

20

41

42

53

64

B

6

2

Number System

3

Medium

6.NS.B.4

Allenai

44

how many positive even integers less than 100 contain digits 4 or 7 ?

16

17

18

19

20

C

6

2

Number System

3

Easy

6.NS.B.4

Allenai

45

how many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both ?

13

19

15

16

17

B

6

2

Number System

3

Medium

6.NS.B.4

Allenai

46

how many times digit 7 is used while writing numbers from 1 to 300 ?

28

42

41

35

49

B

6

3

Number System

4

Hard

6.NS.C.6

Allenai

47

the ratio of pens to pencils is 5 to 6 . there are 5 more pencils than pens . how many pencils are there ?

24

30

36

42

48

B

6

2

Ratios and proportions

3

Easy

6.RP.A.3

Allenai

48

two numbers are in the ratio 3 : 4 . if their l . c . m . is 36 . what is sum of the numbers ?

21

56

76

84

85

A

6

2

Number System

3

Medium

6.NS.B.4

Allenai

49

a grocery shop has a sale of rs . 6635 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?

4857

4184

4012

4791

5291

D

6

1

Statistics and Probability

3

Easy

6.SP.A.3

Allenai

50

1,5 , 13,25 , __

26

30

31

41

43

D

6

1

Number System

3

Easy

6.NS.B.3

Allenai

51

a snail , climbing a 20 feet high wall , climbs up 4 feet on the first day but slides down 2 feet on the second . it climbs 4 feet on the third day and slides down again 2 feet on the fourth day . if this pattern continues , how many days will it take the snail to reach the top of the wall ?

12

16

17

20

21

C

6

3

Expressions and Equations

4

Hard

6.EE.B.6

Allenai

52

a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 50 , how many horses are there ?

10

12

14

16

18

A

6

3

Expressions and Equations

4

Medium

6.EE.B.6

Allenai

53

a profit of rs . 20000 is to be distributed among a , b , c in the proportion 2 : 3 : 5 . what will be the difference between b ’ s and c ’ s shares

4000

3000

5500

4500

none of these

A

6

2

Ratios and proportions

3

Medium

6.RP.A.1

Allenai

54

all the faces of a cube are painted with blue colour . then it is cut into 125 small equal cubes . how many small cubes will be formed having only one face coloured ?

54

8

16

24

34

A

6

3

Geometry

4

Hard

6.G.A.4

Allenai

55

rose made a part payment of $ 300 toward buying a brand new car , which represents 5 % of the total cost of the car , how much remains to be paid ?

$ 5700

$ 5500

$ 5800

$ 5200

$ 5880

A

6

2

Ratios and proportions

3

Easy

6.RP.A.3c

Allenai

56

john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 5 : 1 / 3 : 1 / 4 : 1 / 5 . what is the minimum no . of pencils that the person should have ?

59

65

70

77

98

A

6

2

Ratios and proportions

3

Easy

6.RP.A.3

Allenai

57

lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 10 more photos than claire . how many photos has claire taken ?

5

8

11

12

14

A

6

2

Expressions and Equations

3

Easy

6.EE.B.7

Allenai

58

10 % of a number is added to 45 , the result is the same number . find the number ?

50

288

270

129

281

A

6

2

Ratios and proportions

3

Easy

6.RP.A.3c

Allenai

59

how much is 85 % of 40 is greater than 4 / 5 of 25 ?

22

14

88

12

66

B

6

2

Number System

3

Medium

6.NS.B.3

Allenai

60

in the fifth grade at parkway elementary school there are 450 students . 320 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?

69 .

73 .

81 .

95 .

108 .

D

6

2

Ratios and proportions

3

Medium

6.RP.A.3c

Allenai

61

the area of a rectangle is 63 sq m . the width is two meters shorter than the length . what is the width ?

9'

7'

- 9'

11'

6']

B

6

2

Expressions and Equations

3

Medium

6.EE.B.7

Allenai

62

you collect baseball cards . suppose you start out with 11 . maria takes half of one more than the number of baseball cards you have . since you ' re nice , you give peter 1 baseball card . since his father makes baseball cards , paul decides to triple your baseball cards . how many baseball cards do you have at the en...

12

18

19

20

21

A

6

2

Expressions and Equations

3

Medium

6.EE.B.7

Allenai

63

the sum of the ages of 4 children born at the intervals of 4 years each is 36 years . what is the age of the youngest child ?

3

18

10

99

38

A

6

2

Expressions and Equations

3

Medium

6.EE.B.7

Allenai

64

a car covers a distance of 200 km in 2 hours 40 minutes , whereas a jeep covers the same distance in 2 hours . what is the ratio of t

3 : 4

4 : 3

4 : 5

5 : 4

8 : 7

A

6

2

Ratios and proportions

3

Medium

6.RP.A.3

Allenai

65

joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 6 of the remaining paint . how many gallons of paint has joe used ?

18

135

175

216

250

B

6

3

Number System

4

Hard

6.NS.A.1

Allenai

66

when n is divided by 20 , the remainder is 5 . what is the remainder when n + 16 is divided by 5 ?

1

3

4

5

6

A

6

2

Number System

3

Medium

6.NS.B.2

Allenai

67

i spend 40 hours a week ( 5 days ) at work and like to organize my time so that i spend an equal number of hours on the two tasks i currently have . currently , i am spending 5 hours a day on task 1 and 3 on task 2 . how many hours a week less do i need to spend on task 1 in order to evenly distribute my time ?

5

3

7

1

6

A

6

3

Expressions and Equations

4

Hard

6.EE.B.6

Allenai

68

the sum of the ages of 5 children born at the intervals of 3 year each is 40 year . what is the age of the youngest child ?

2 year

8 year

10 year

none of these

9 year

A

6

2

Expressions and Equations

4

Medium

6.EE.B.6

Allenai

69

david has $ 1,500 at the beginning of his trip , after spending money , he still has exactly $ 500 less than he spent on the trip . how much money does john still have ?

$ 200

$ 400

$ 500

$ 800

$ 1

C

6

2

Expressions and Equations

3

Easy

6.EE.B.7

Allenai

70

what is the least number which when divided by 7 , 9 , 12 and 18 leaves remainder 4 in each care ?

230

240

236

256

266

D

6

3

Number System

4

Hard

6.NS.B.4

Allenai

71

what is (2 2 / 3) - (1 1 / 4) divided by (1 / 2) -( 1 / 5) ?

17 / 36

36 / 17

17 / 6

17 / 4

85 / 18

E

6

1

Number System

2

Easy

6.NS.A.1

Allenai

72

the average ( arithmetic mean ) of 20 , 40 , and 60 is 5 more than the average of 20 , 60 , and what number ?

25

30

35

40

45

A

6

2

Statistics and Probability

2

Easy

6.SP.A.3

Allenai

73

total 75 cows 25 cow gives each 2 liter milk 25 cow gives each 3 / 4 liter milk 25 cow gives each 1 / 4 liter milk this is split into 3 son per each 25 cows & 25 liter milk how ?

10

12

15

25

18

D

6

3

Ratios and proportions

4

Hard

6.RP.A.3

Allenai

74

what is 120 % of 13 / 24 of 840 ?

436

478

512

546

620

D

6

2

Ratios and proportions

3

Easy

6.RP.A.3c

Allenai

75

an amount of rs . 3120 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of a ?

1320

1196

1210

1440

1050

D

6

2

Ratios and proportions

3

Medium

6.RP.A.3

Allenai

76

what is the units digit of ( 498 ) ( 915 ) ( 381 ) ( 756 ) ( 29 )

0

1

2

5

6

C

6

2

Number System

3

Medium

6.NS.B.2

Allenai

77

evaluate : 56 - 12 * 3 * 2 = ?

42

48

62

72

82

B

6

1

Expressions and Equations

3

Easy

6.EE.A.1

Allenai

78

if the remainder is 7 when positive integer n is divided by 10 , what is the remainder when n is divided by 5 ?

0

1

2

3

2

E

6

2

Number System

3

Medium

6.NS.B.2

Allenai

79

find the value of 3 + 2 • ( 8 – 3 )

( a ) 25

( b ) 13

( c ) 17

( d ) 24

( e ) 15

D

6

1

Expressions and Equations

3

Easy

6.EE.A.1

Allenai

80

dacid obtained 86 , 89 , 82 , 87 and 81 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

79

99

88

85

75

D

6

2

Statistics and Probability

3

Medium

6.SP.A.3

Allenai

81

8900 ÷ 6 ÷ 4 = ?

349

541.75

224.37

370.833

none of these

D

6

1

Number System

3

Easy

6.NS.B.2

Allenai

82

the duplicate ratio of 2 : 3 is ?

4 : 9

1 : 4

1 : 8

1 : 18

1 : 13

A

6

2

Ratios and proportions

2

Medium

6.RP.A.1

Allenai

83

the ratio of pens to pencils is 5 to 6 . there are 4 more pencils than pens . how many pencils are there ?

12

16

20

24

28

D

6

2

Ratios and proportions

3

Medium

6.RP.A.3

Allenai

84

how many pieces of 75 cm can be cut from a rope 45 meters long ?

30

40

60

none

can not be determined

C

6

2

Number System

3

Medium

6.RP.A.3d

Allenai

85

how many different positive integers are factors of 40 ?

3

2

1

6

4

D

6

2

Number System

3

Medium

6.NS.B.4

Allenai

86

the area of a triangle is with base 4 m and height 5 m ?

11'

10'

99'

17'

12']

B

6

1

Geometry

3

Easy

6.G.A.1

Allenai

87

if 1488 / 1.24 = 1200 , then 148.8 / 12.4 is equal to ?

17

10

14

12

11

D

6

2

Number System

3

Medium

6.NS.B.3

Allenai

88

the triplicate ratio of 1 : 7 is ?

1 : 7

1 : 8

1 : 343

1 : 1

1 : 2

C

6

1

Ratios and proportions

3

Easy

6.RP.A.1

Allenai

89

the sum of two consecutive integers is 21 . find the numbers .

17

7

10

1

8

C

6

2

Expressions and Equations

3

Medium

6.EE.B.7

Allenai

90

dacid obtained 72 , 45 , 72 , 77 and 75 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

67

68

87

26

75

B

6

2

Statistics and Probability

3

Easy

6.SP.B.5

Allenai

91

divide $ 1000 among a , b in the ratio 1 : 4 . how many $ that b get ?

$ 500

$ 800

$ 1000

$ 200

$ 750

B

6

2

Ratios and proportions

3

Medium

6.RP.A.3

Allenai

92

what is the area of square field whose side of length 8 m ?

225

64

772

882

21

B

6

1

Geometry

3

Easy

6.G.A.1

Allenai

93

kamal obtained 76 , 65 , 82 , 67 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

65

69

72

75

none

D

6

2

Statistics and Probability

3

Easy

6.SP.B.5

Allenai

94

find k if 32 / k = 4 .

6

7

8

4

3

C

6

1

Expressions and Equations

3

Easy

6.EE.B.7

Allenai

95

the base of a triangle is 15 cm and height is 12 cm . the height of another triangle of double the area having the base 20 cm is :

22 cm'

20 cm'

18 cm'

10 cm'

none of these

C

6

3

Geometry

4

Hard

6.G.A.1

Allenai

96

the area of a triangle is with base 8.4 m and height 5.8 m ?

11.36 m 2

10.36 m 2

18.36 m 2

19.36 m 2

24.36 m 2

E

6

1

Geometry

3

Easy

6.G.A.1

Allenai

97

what is the area of square field whose side of length 14 m ?

225

196

266

288

261

B

6

1

Geometry

3

Easy

6.G.A.1

Allenai

98

a cab driver 5 days income was $ 200 , $ 150 , $ 750 , $ 400 , $ 500 . then his average income is ?

$ 420

$ 410

$ 400

$ 390

$ 380

C

6

2

Statistics and Probability

3

Easy

6.SP.B.5

Allenai

99

what will be the cost of building a fence around a square plot with area equal to 144 sq ft , if the price per foot of building the fence is rs . 58 ?

2784

2287

2977

2668

1298

A

6

2

Geometry

3

Medium

6.G.A.1

Allenai

100

12 times a number gives 156 . the number is

11

12

13

none

can not be determined

C

6

1

Expressions and Equations

3

Easy

6.EE.B.7

Allenai