Basic Mathematics MCQ for GP Rating Addmission

Mathematics:-

1 Find the place value of 2 in 832567.

2 Which one is a rational number?

(a) √4 (b) √3 (c) 2+√ 3 (d) 5√3

3 Which one is an irrational number?

(a) 22/ 7 (b) π (c) 1.333 (d) 3.14

4 The smallest odd prime number is

(a) 0 (b)1 (c) 2 (d) 3

5 Which of the following is a prime number?

(a) 137 (b) 122 (c) 144 (d) 125

6 Which of the following is not a prime number?

(a) 17 (b) 19 (c) 27 (d) 29

7 Number of prime numbers between 0 and 100, is

(a) 31 (b) 29 (c) 25 (d) 23

8 Which of the following is divisible by 15?

(a) 30560

(b) 29515

(d) 17325

9. If a number is divisible by 899, the remainder will be 63. If same number is divisible by 29, the

remainder will be

(a) 10 (b) 5 (c) 4 (d) 2

10 What should be at the place of * , so that number 54963*6 is divisible by 8?

(a) 2 (b)3 (c) 4 (d)5

11 What must be subtracted from 342 so that resultant must be divisible by 8?

(a) 4 (b) 2 (c) 7 (d) 6

12 Unit's place digit in 962 x 357 X 133 is

(a) 2 (b) 3 (c) 7 (d) 0

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13 What is the value of (118)2-(117)2 ?

(a) 1 (6) 235 (c) 0 (d) 335

14 The sum of all even number from 1 to 60 is

(a) 870 (b) 960 (c) 840 (d) 930

15 The sum of all odd numbers from 1 to 32 is

(a) 256 (b) 128 (c) 25 (d) 16

16 The sum of natural numbers from 75 to 99 is

17 What is one rational number between 2/ 5 and 3/ 4

(a) 21/ 50 (b) 29/ 50 (c) 13/ 17 (d) 23/ 40

18 What least number must be added to 4131, so that the sum is completely divisible by 19 ?

(a) 10 (b) 11 (c) 9 (d) 12

19 What will be the quotient when 2143 is divided by 38?

(a) 56 (6) 55 (c) 57 (d) 54

20 What is the remainder when 6729 is divided by 35 ?

(a) 11 (b) 7 (c) 9 (d) 12

21 What is the largest 4-digit number that is exactly divisible by 93?

(a) 9961 (b) 9971 (C) 9981 (d) 9951

22 If the sum of a number and its reciprocal be 2, then the number is

(a) 0 (b) 1 (c)-1 (d) 2

23 When a number is divided by 56, the remainder will be 29. If the same number is divided by 8, then the remainder will be

(a) 6 (6) 7 (C) 5 (d) 3

24 The largest number of 4 digits which is exactly divisible by 88 is

(a) 9000 (b) 9999 (c) 9944 (d) 9965

25 The least number that should be added to 2055, so that the sum is exactly divisible by 27 is.

(a) 24 (b) 27 (C) 31 (d) 28

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1.c 2.a 3.b 4.d 5.a 6.c 7.c 8.d 9.b 10.b 11.d 12.a 13.a 14.d

15.a 16.d 17.d 18.b 19.a 20.c 21.d 22.b 23.c 24.c 25.a

1 Simplest form of 95/ 152

(a) 4/ 9 (b) 3/ 8 (c) 5/ 8 (d) 3/ 7

2 The number less than 15 by 7 is

(a) 15x - 7 (b) 15/ 7 (c) 15 (d) 8

3 9 1/ 11 is equal to

(a) 9.99 (b) 9.111 (c) 9.09 (d) 9

4 If 2 = x+1/ 5 then x= ?

(a) 9/ 10 (b) 10/ 8 (c) 9/ 5 (d) 1/ 5

5 Which fraction is smallest

(a) 2/ 15 (b) 5/ 20 (c) 7/ 64 (d) 9/ 16

6 The fractions in ascending order, are

(a) 4/ 15, 5/ 17, 10/ 33, 8/ 27

(b) 5/ 17, 10/ 33, 8/ 27, 4/ 15

(d) 10/ 33, 8/ 27, 5/ 17, 4/ 15

7. The fraction is descending order are

(a) 7/ 9, 5/ 7, 3/ 5

(b) 7/ 9, 3/ 5, 5/ 7

(d) None

8 Which of the following numbers is the greatest of all

(a) 0.9 (b) 0.9 (c) 0.09 (d) 0.009

9 What is the Value of ? in the following

?+6/ 8+3 1/ 4= 23 13/ 24

(a) 11 1/ 8 (b) 12 1/ 8 (c) 16 1/ 4 (d) None

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1 The HCF of 72, 108, 56 is

(a) 3 (b) 4 (c) 6 (d) 8

2 The largest number which is a factor of 56 as well as 84 is

(a) 2 (6) 7 (c) 14 (d) 28

3 The HCF of 228, 822,282 is

(a) 6 (b) 57 (e) 114 (d) 12

4 The HCF of 9/ 10, 12/ 25, 18/ 35 and 21/ 40 is

(a) 3/ 5 (b) 252/ 7 (c) 3/ 1400 (d) 52/ 140

5 The LCM of 5, 8, 12, 20 will not be a multiple of

(a) 3 (b) 9 (c) 8 (d) 5

6 Find the LCM of 2.5, 1.2, 20 and 7.5.

(a) 60 (b) 65 (c) 70 (d) 50

7 The LCM of. 2/ 3, 3/ 5, 4/ 7, 9/ 13

(a) 36 (b) 1/ 36 (c) 1/ 1365 (d) 12/ 455

8 Find the smallest whole number which is exactly divisible by 1 1/ 3, 2 1/ 4, 3 1/ 2, and 4 1/ 5

10 The smallest fraction which is exactly divisible by 10 Four numbers are in the ratio of 10 : 12:15:18

If their HCF is 3, ﬁnd their LCM

(a) 420 (b) 540 (c) 620 (d) 680

11 The LCM of two numbers is 18. The numbers are in the ratio 2:3. Find the sum of the numbers

(a) 28 (b) 32 (c) 40 (d) 64

12 What is the least number which when diminished by 7, is divisible by each one of 21, 28, 36 and 4

(a) 1255 (b) 1177 (c) 1265 (d) 1267

13 Find the least number which when divided by 16, 18 and 20 leaves a remainder 4 in cach case, buri completely divisible by 7

(a) 2884 (b) 2256 (c) 865 (d) 3332

14 How many numbers between 400 and 500 are exactly divisible by 12, 15 and 20?

(a) One (b) Two (c) Three (d) None

15 The numbers between 200 and 300, which when divided by 6, 8 or 9 leaves remainder 8 in cach case, are

(a) 216, 288

(b) 224, 296

(d) 224, 288

16 The HCF and LCM of two numbers are 21 and 4641 respectively. If one of the numbers lies

Answers

1.b 2.d 3.a 4.c 5.b 6.a 7.a 8.a 9.a 10.b 11.c 12.d 13.a

14.b 15.b 16.a

1 Simplify [1 -2 (3-4)]

(a) 1 (b) 3 (c) 4 (d) -2

2 Simplify 60+20 +2 x 4

(a) 44 (b) 70/ 4 (c) 1000 (d) 125/ 2

3 Simplify 197- (1/ 9{42 +(56-809))+108]

(a) 80 (6) 83 (c) 85 (d) 78

4 Simplify 95-144+(12x12)-(-4)-(3-17-10]]

(a) 81 (b) 86 (c) 87 (d) 90

5 [-251x21x(-12)] +?=158.13

(a) 250 (b) 400 (c) 300 (d) 15

6 Find x, if 6-[5-{x-(2-3/ 2)}]

(a) 5/ 2 (b) 3/ 2 (c) 7/ 2 (d) 9/ 2

10 A person on tour has 360 for his daily expense. He decides to extend his tour programme by 4 days which leads to cutting down daily expense by3 per day. The number of days of his tour programme is

(a) 15 (b) 20 (c) 18 (d) 16

11 At a party, there are 43 persons in all. The number of women is two more, than men but the number of children is 4 less than men. How many women are in the party?

(a) 17 (b) 13 (c) 11 (d) 25

12 Ram went to a market and bought one copy of a Mathematics book and two pencils for 165. Rahim

went to the same market and bought another copy of the same book and ten pencils of the same brand for

169. The price of each pencil was

(a) 0.50 (b) 1 (c) 0.75 (d) 2

13 What is the value of (1455)2 - (545)2??

7 Ifx:y=7:5, then what is the value of (5x-2y):(3x + 2y)?

(a) 5/ 4 (b) 6/ 5 (c) 25/ 31 (d) 31/ 42

Skylar Rohit

Answers

1.b 2.c 3.a 4.b 5.b 6.a 7.c 8.c 9.c 10.b 11.a 12.a 13.a

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1. 2 is what percent of 50?

(a) 2 (b) 2.5 (c) 4 (d) 5

2 0.01 is what percent of 0.17

(a) 10 (b) 1/ 10 (c) 100 (d) 1/ 100

3 65g is what percent of 2 kg!

(a) 13/ 4 (b) 65/ 2 (c) 15/ 8 (d) 13/ 8

4 One-third of 1206 is what percent of 134?

(a) 100 (b) 150 (c) 200 (d) 300

5 0.15% of 33 1/ 3% of 10000 is

(a) 5 (b) 150 (c) 0.05 (d) 105

6 If x% of 25/ 2 is 150, then the value of x is

(a) 1000 (b) 1200 (c) 1400 (d) 1500

7 If 125% of x is 100, then x is

(a) 80 (b) 150 c) 400 (d) 125

8 If 20% of A = 50% of B, then what percent of A is B?

(a) 30 (b) 40 (c) 25 (d) 15

9 If 90% of A = 30% of B and B = x% of A, then the value of x is

(a) 800 (b) 300 (c) 700 (d) 400

13 The sum of (16% of 24.2) and (10% of 2.42)

(a) 4.114 (b) 41.14 (c) 411.4 (d) 0.4114

14 What is the value of 10% of 150% of 400?

(a) 600 (b) 50 (c) 500 (d) 60

15 If 40 is 0.05% of x, then what is the value of x

(a) 80000 (b) 8000 (c) 800 (d) 80

16 The difference of two numbers is 20% of the larger number. If the smaller number is 20, the large number is

(a) 25 (b) 45 (c) 50 (d) 80

17 The number that is to be added to 10% of 320 have the sum as 30% of 230, is

(a) 37 (b) 32 (c) 23 (d) 73

18 When 60 is subtracted from 60% of a number, result is 60. The number is

(a) 120 (b) 150 (c) 180 (d) 200

Skylar Rohit

Answers:-

1.c 2.a 3.a 4.d 5.a 6.b 7.a 8.b 9.b 10.a 11.c 12.a 13.a 14.d

15.a 16.a 17.a 18.d

1 The ratio of 40 m and 2 km is

(2) 1:50 (b) 2:35 (C) 1:40 (d) 3:25

2 If x: y = 3:1, then the ratio of x3-y3 : x3+y3 is

(a) 12:11 (b) 13:21 (c) 13:14 (d) 21:42

3 If two numbers are in the ratio of

5 : 8 and if 9 be added to each, the ratio becomes 8:11. The lower number is

(a) 10 (b) 13 (c) 12 (d) 15

4 Ratio of boys to the girls in a dass is 5: 4. Which of the following cannot be the number of students in the class?

(b) 72 (c) 108 (d) 98

5 The two numbers are in the radio 2:3 and their product is 96. The sum of the numbers is

(a) 5 (b) 20 (c) 101 (d) 102

6 If p:9=3:4 and q:r=8:9. Then, p:r is equal to

(a) 1:3 (b) 3:2 (c) 2:3 (d) 1:2

Skylar Rohit

1 A train is travelling at the rate of 45 km/ h. How many seconds it will take to cover a distance of kim?

(a) 36s (b) 64s (c) 90s (d) 120s

2 An athlete runs 200 m race in 24 s His speed (in km/ h) is

(a) 20 (b) 24 (c) 28.5 (d) 30

3 The speeds of three cars are in the ratio 2:3 : 4. The ratio of the times taken by these cars to travel the same distance is

(a) 2:3:4 (b) 4:3:2 (c) 4:3:4 (d) 6:4:3

4 A car travelling at a speed of 40km/ h can complete a journey in 9 h. How long will it take to travel the same distance at 60km/ h?

(a) 6 h (b) 3h (c) 5h (d) 4 1/ 2 h

8 A train covers a distance of 10km in 12 min to cover the same distance will be

speed is decreased by 5km/ h, the time taken by

(a) 10 min

(b) 13 min 20 s

(d) 11 min 20 s

9 A certain distance is covered by a cyclist at a con speed. If a jogger covers half the distance in dobe the time, the ratio of the speed of jogger to cha the cyclist is

(a) 1:4 (b) 4:1 (c) 1:2

10 A man covers 2/ 15 of the total journey by train 9/ 20 by bus and the remaining 10km on foot. His

journey (in km) is

(a) 15.6 (b) 24 (c) 16.4 (d) 12.3

11 If a man walks 20km at 5km/ h, he will be la 40 min. If he walks at 8km/ h, how carly from ﬁxed time will he reach?

(a) 15 min (b) 25 min (c) 50 min (d) 1 1/ 2h

5 A boy runs 20 km in 2.5 h. How long will he take to run 32 km double the previous speed?

(a) 2 h (b) 2 1/ 2h (c) 4 1/ 2h (d) 5h

6 A man is walking at a speed of 10 km/ h. After every km, he takes a rest for 5 min. How much time will be take to cover a distance of 5 km?

(a) 60 min (b) 50 min (c) 40 min (d) 70 min

7 Two men start together to walk a certain distance, one at 4km/ h and another at 3km/ h. The farmer arrives half an hour before the latter. Find the distance.

(a) 8 km (b) 7km (c) 6km (d) 9km

1. If x:y:: 5:2, then 8x + Oy : 8x + 2y is equal to

A. 22:29 B. 29 : 22

C. 31:29 D. 21:29

2. If 76 is divided into the ratios of 7, 5, 3 and 4, then the smallest part will be:

A.14 B.18 C.32 D.12

3. The sum of two numbers is 70 and their difference is 16. Ratio of these two numbers is:

A. 43:27 B. 37 : 64

C. 43: 16 D. 25 : 64

4. Two numbers are in the ratio of 12 and 19. If

the sum of these two numbers is 217, the value of smaller number is:

A. 81 B.64 C.70 D.84

5. If the sum of 760 is divided by among A, B, C in such a manner that if A gets 2, B gets

3 and C gets 4.5, then the share of C exceeds that of A by:

A 200 B. 180 C.215 D.205

6. The ratio of ages of Gulshan and Pankaj is 10:9 If Gulshan's age after 6 years be 26 years,

then the present age of Pankaj is:

A. 18 years B. 10 years C.17years. D. 20 Years

7. If a man covers a distance in 7 hrs end a tonga covers the same distance in 4 1/ 3 hrs, then what is the ratio of speed of man and tonga?

A. 7:15. B. 6:13. C. 13:21. D. 13:20

Skylar Rohit

1. The average of ﬁrst-ﬁve multiple of 3

A.6 B.9. C. 3. D. 12

2. The average of 50 number, is 38. If two numbers namely, 45 and 55 are discarted, the average of remaining number is:

A. 36.50 B. 37.00 C. 37.50 D. 37.52

3. The average age of an adult class is 40 years. 12 new students with an average age of 32 years join the class, there by decreasing the average of the class by 4 years. The original strength of the class was:

A. 10 B. 11C. 12 D. 15

4 The average temperature of ﬁrst three-days is 27° C and of the next 3 days is 29° C. If the average of the whole week is 28.5° C, the temperature of the last day is:

A. 31.5° C. B. 10.5° C C. 21° C. D. 42° C

5. The average weight of 3 men, A, B and C is 84 kg. Another man D joins the group and the average now becomes 80 kg. If another man E. whose weight is 3 kg more than that of D, replace average weight of B.C.D and E becomes

79 kg. The weight of A is:

A. 70 kg B. 72 kg C. 75 kg D. 80 kg

6. The average of 30 results is 20 and the average of other 20 results is 30. The average of all the results is:

A. 25. B. 24 C. 50 D. 48

7. The average height of 30 girls out of a class of 40 is 160 cms and that of the remaining girls is 156 cms. The average height of the whole class is:

A. 158 cm B. 158.5 cm C. 159 cm D. 159.5 cm

8. A Ship sails out to a mark at the rate of 15 km/ hr and sails back at the rate of 10 km/ hr. The average rate of sailing is:

A. 12.5 km/ hr B. 12 km/ hr C. 25 km/ h D. 5 km/ hr

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Answers:-- 1.b 2.c 3.c 4.a 5.c 6.b 7.c 8.b

1. The H.C.F. of 72 and 18 is:

A. 9 B.72 C.18 D.36

2. The L.C.M. of 6, 8, 10 and 12 is:

A.120 B.60 C.240 D.130

3 The HCF of 5/ 6,6/ 7,7/ 8,8/ 9 and 9/ 10 is

A. 1/ 2420 B. 1/ 2520 C. 1/ 2660 D.1/ 2540

4 LCM of two numbers is 85 and their product is 1020 HCF ?

A. 16 B.27 C. 12 D.22

6. The largest four digit number divisible by 48, 60 and 64 will be:

A. 7200 B. 9600 C. 8400 D. 10,000

7. L.C.M. of 24, 28, 36 and 44 is a multiple of 24 and which of the following numbers?

A. 441 B. 231 C. 337 D. 197

8. H.C.F. of 420,315 and 462 is:

A. 24 B. 28 C. 27 D. 21

9. The smallest number exactly divisible by 3,4,6

and 8 is:

A. 26 B. 24 C. 25 D. 28

10. The smallest three- digit number completely divisible by 12, 18 and 24 will be:

A. 72 B. 144 C. 180 D. 224

Skylar Rohit Answers:-- 1.c 2.a 3.b 4.c 5.a 6.b 7.b 8.d 9.b 10.b

1. A loss of 5% was suffered by selling a plot for 4085. The cost price of the plot was:

A. 4350 B. 4259.25 C. 4200 D. 4300

2. Alok bought 25 kg of rice at the rate of 6 per kg and 35 kg of rice at the rate of 7 per kg. He

mixed the two and sold the mixture at the rate of

6.75 per kg. What was his gain/ loss in this transaction?

A.16 gain B 16 loss C. 20 gain D. None

3. A man sells 320 mangoes at the cost price of 400 mangoes. His gain per cent is:

A. 10% B. 25% C.15% D. 20%

4. A person bought an article and sold it at a loss of 10%. If he had bought it for 20% less and sold it for 55 more, he would have had a proﬁt of 40%. The C.P. of the article is:

A 200 B. 225 C.₹250 D. None

5. A man sells a car to his friend at 10% loss. If the friend sells it for 54000 and gain 20%, the original cost price of the car was:

A 25000 B. 37500 C. 50000 D. 60000

6. On selling an article for 240, a trader losses

4%. In order to gain 10% he must sell that article for:

A. 264. B. 273.20 C. 275 D. 280

7. The CP of an article which is sold at a loss of 25% for 150, is:

A. 125 B. 175 C. 200 D. 225

Skylar Rohit

Answers:-- 1.D 2.D 3.B 4.C 5.C 6.C 7.C

1. √5²+41× 5-17² - 75 = ?

A.69 B. 61 C. 71 D. 79

2. 15 -10 + 5 x 2 ÷ 5= ?

A. 70 B. 4 C.5 D. None of these

3. 10 x 10 x 10 ÷ (20 ÷ 10 x 10 - 10) + 6 = ?

A. 108 B. 111 C. 106 D. 114

4 25/ 3-4/ 7 of 7/ 5+11/ 3÷2/ 3-4= ?

A. 8 1/ 15 B.9 1/ 30 C. 7 1/ 30 D. 9 1/ 5

5 9÷2×27÷9 / 18÷7.5×5÷4 =?

A. 4.5 B. 5.7 C. 2.5 D. 6.8

6. 37% of 150 - 0.05% of 1000 = ?

A. 50 B. 55 C. 55.5 D. 55.55

2. 70 x 2.70+4.30 x 4.30+8.60 x 2.70 / 2.70+4.30=?

A. 6.8 B. 7 C. 7.6 D. 8.5

8. 60 x [35 - {25 - (18-9-3)÷11}] =?

A. 566 5/ 7 B. 665 5/ 11 C. 665 8/ 11 D. 765 5/ 11

Skylar Rohit

Answers:-- 1.A 2.D 3.C 4.B 5.A 6.B 7.B 8.B

1. If the length, breadth and height of a cuboid arcm³ 2 m, 2 m and 1 m respectively, then its surface area (in m²) is:

A. 8 B. 12 C. 16 D. 24

2. The length of a longest rod thai can be placed in

a room 30 m long, 24 m broad and 18 m high is:

A. 30 m B. 15√2 m C. 60 m D. 30√2 m

3. The surface area of a cube is 1176 cm² The volume of this cube is:

A. 7056 cm³ B. 4704 cm³ C. 2744 cm³ D. 3528 cm³

4. The volume of a cube is 125 cm. The surface area of the cube is:

A. 625 cm² B. 125 cm² C. 150 cm² D. 100 cm²

5. The length of a cylinder is 80 cm and the diameter of its base is 7 cm. The whole surface of the cylinder is:

A. 1837 cm² B. 1760 cm² C. 3080 cm² D. 1942 cm²

6. The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio 5 : 3. The ratio of their volumes is:

A. 27 : 20 B. 20:27 C. 4:9 D. 9:4

7. The radius of base of a right circular cone is 6 cm and its slant height is 28 cm. The curved surface of the cone is:

A. 268 cm² B. 658 cm² C. 462 cm² D. 528 cm²

8. If a right circular cone of verticle height 24 cm has a volume of 1232 cm³. then the area of its curved surface in cm² is:

A. 1254 B. 704 C. 550 D. 154

9. If the volumes of two cones are in the ratio 1:4 and their diameters are in ratio 4: 5. then the ratio of their heights is:

A. 1:5 D. 5:4 C. 5:16 D. 25:64

Skylar Rohit Answers:-- 1.C 2.D 3.C 4.C 5.A 6.B 7.D 8.C 9.D

1. Pick out the complementary angle of 45° from the list of the angle:

A. 75° B.45 C. 90° D. 135°

2. Spot an obtuse angle:

A. 280° B. 210° C. 170° D. 260°

3. How many degrees are there in one right angles? A 180° B. 260° C. 360° D. 90°

4. How many lines can you draw through two points?

A. Two C.Many B. Only one D. None of these

5. Pick out the supplementary angle of 95

A. 160 B. 85 C. 90 D.180

6. Pick out the acute angle from the following:

A. 75° B. 145° C. 155 D. 135°

7. How many lines can you draw through one point?

A. Two B. One C. Many D. None

8. How many lines can you draw through three non- collinear points?

A. None B. Three only C. Two only D. Exactly one

9. How many degrees are there in 2/ 5 of a straight angle A 90° B. 180° C. 72° D. 60°

10. How many degrees are in 1/ 10 of a right angle

A. 10° B. 9° C. 40° D. 80°

Skylar Rohit Answers:-- 1.B 2.C 3.D 4.B 5.B 6.A 7.C 8.B 9.C 10.B

SKYLAR ROHIT

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