Wednesday, 29 April 2020

Grade 7 Fractions @2

Fractions

Grade : 7

There are 64 students in class. The number of boys are 3/5 th of number of girls Find the number of girls and boys?

2. A man gave half of his money to his wife three forth or what was left to his son and rest to his daughter. If the daughter received 25000, what was the total sum.

3. Sahil plants 4 saplings in a row, in his garden. The distance between 2 adjacent saplings in 3/4m . Find the distance between the first and the last saplings

4. 4/7 part of a pole is under ground. When 1/3 of this part is pulled out ,5/2meters of the pole is still under ground . What is the full length of the pole?

5. Anju finished colouring a picture in 7/9 hours. Vishnu finished colouring the same picture in 3/4 hours. Who worked longer ? By what fraction was it longer ?

6. Sahil wants to put a picture in a frame. The picture is 38/5 cm wide. To fit in the frame the picture cannot be more than 73/10 cm. How much should the picture be trimmed ?

7. Ramesh solved 2/7 part of an exercise while Reshma solved 4/5 of it. Who solved lesser part ? By how much ?

8. Aslam can walk 27/5 km in one hour. How much distance will he cover in 13/4 hours ?

9. Evaluate :

9. 2/5 x 21/4

10. 3/2 x 16/3

ANSWERS

Tuesday, 28 April 2020

Grade 6, 7 Fractions

Fractions

Grade : 6, 7

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1. Observe the fractions and fill in the blanks with appropriate <, >, = symbols

1. 1/5 -----3/5

2. 5/6 -----7/8

3. 2/3------5/12

4. 1/3-----3/9

2. Find the value of

1. 3/4 of 4

2. 2/3 of 27

3. 3/4 of 36

4. 2/3 of 3/4 of 18

5. 2/3 of 3/4 of 24

6. 2/3 of 3/4 of 50

7. 2/3 of 3/4 of 80

3. Disha and Shreya were given Rs. 156 as pocket money by their mother. Disha spent 1/3 of it and Shreya spent 1/4 of the remaining. How much did each of them spent ?

4. Rajesh had 15 chocolates. He gave 1/5 of the total to his friend Ram. How many chocolates did Ram get ?

5. In a class of 50 students , 1/5 of the total play football, 3/5 play cricket , and the remaining play basketball. Find the number of students who play basketball, football, and cricket ?

Answers

1. 1) < 2) < 3) > 4 ) =

2. 1) 3 2) 18 3) 27 4) 9 5) 12 6) 25 7) 40

3. Disha spent Rs. 52 and Shreya spent Rs. 26

4. 3 chocolates

5. Foot ball = 10 ; basket ball = 10; cricket = 30

Grade 8 Exponents

Exponents

Grade : 8

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I. Find the value of x

1. (¾)⁴ = 81/x

2. (x/5)² = 16/25

3. (2/5)⁵ = 2^x / 5^x

4. Express 27/64 as powers of rational numbers

5. Express (-8/27) as powers of rational numbers

6. Find the reciprocal of

a. 3³

b. (1/3)⁵

c. (-3/4)³

d. (1/3)^-3

7. Simplify (2/3)^-3 ÷ (4/3)^-2

8. Simplify (5^-1 x 2^-1) ÷ 6^-1

9.Simplify (3/4)^-4÷ (5/4)^-3

10.Simplify (6^-1x 3^-2) ÷ 7^-2

ANSWERS

1. x = 256

2. x= 4

3. x=5

4. (3/4)³

5.(-2/3)³

6. a)1/27

b)3⁵

c.)(-3/4)^-3

d)(1/3)³

7. 6

8. 3/5

9. 500/81

10. 49/54

Saturday, 25 April 2020

Grade 7 Integers

Integers

Grade : 7

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1. A submarine submerges at the rate of 5m/min. If it descends from 20m above the sea level, how long will it take to reach 250m below sea level?

2. Mt. Everest, the highest elevation in Asia, is 29,028 feet above sea level. The Dead Sea, the lowest elevation, is 1,312 feet below sea level. What is the difference between these two elevations?

In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now?

4.A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

5. Maggie owes the candy store $35. Each of 5 friends will help her pay off her debt. How much will each friend pay?

6. A submarine was situated 450 feet below sea level. If it descends 300 feet, what is its new position?

7. Metal mercury at room temperature is a liquid. Its melting point is -39°C. The freezing point of alcohol is-114°C. How much warmer is the melting point of mercury than the freezing point of alcohol?

8. In a school exam, Rohan’s score was up to 500 points. Then he scored -100 points in the words category. What was his score then?

9. Every floor of a 20 storey building is 5m high. If a lift moves 2m every second, how long will it take to move from 3rd floor to 15th floor ?

10. A body dropped a pebble in the air from a height of 15m which fell and settled at the bottom of a pond 10m deep. By how much distance did the pebble fall ?

Answers

1. 54minutes

2. 30,340 feet

3. -21 degree celcius

4. -550

5. -7

6. -750

7. 75

8. 400

9. 30 seconds

10. +25m

Wednesday, 22 April 2020

Grade 5 , 6 LCM, HCF Word problems

LCM, HCF

Grade : 5, 6

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1. Find the greatest number which divides 304 to leave a remainder of 4 and which also divides 298 to leave a remainder of 4.

2. Mira has two pieces of ribbon of lengths 18 cm and 24 cm respectively. She wants to cut both pieces into smaller pieces of equal length that are as long as possible. What would be the length of each smaller piece?

3. A cinema runs its movies in two different halls 24/7. One movie runs for 80 minutes and the second one runs for 120 minutes. Both movies start at 1.00 p.m. When will the movies begin again at the same time?

4. The chairs in a hall can be arranged in rows of 48 and 60. Find the least number of chairs in the hall.

5. For a dinner party, Abraham is creating individual servings of starters. He has 9 carrot sticks and 18 celery sticks. If he wants each serving to be identical, with no food left over, what is the greatest

number of servings Abraham can create?

6. Miley and Cole ended up making the same number of biscuits for a bake sale at school, even though Miley made them in batches of 7 biscuits and Cole made them in batches of 11 biscuits. What is the smallest number of biscuits each must have baked?

7. Find the greatest number that will divide 79, 117, and 59 leaving the remainders 7, 9, 11 respectively.

8. Find the smallest three digit number which is exactly divisible by 4, 5, 6.

9. Find a number between 800 and 900 which is divisible by 22, 33 and 66.

10. The LCM and HCF of two numbers is 15 and 450 respectively. If one number is 75, what is the other number ?

Answers

1. HCF = 6

2. HCF = 6

3. 5 pm

4. HCF =12

5. HCF = 9

6. LCM =77

7. HCF (72, 108, 48 ) = 12

8. 120

9. 858

10. 90

Saturday, 18 April 2020

Olympiad Grade 7,8

Everyday Mathematics

Grade 7, 8

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1. A 5 kg bag of rice cost Rs. 8 per Kg. Mr. Mohit bought Rs. 120 worth of rice. If he repacked the rice into smaller packets each weighing 3/5 kg, how many packets would he get ?

2. It takes 17 full specific type of trees to make one tonne of paper. If there are 221 such trees in a forest, then to save 7/13 part of the forest, how much of paper we have to save ?

3. In a test Abhay gets twice the mark as that of Praveen. Two times Abhay's mark and three times Praveen's marks make 280. The marks obtained by Abhay are---?

4. Sreya got Rs. 27480 as her monthly salary and over-time. Her salary exceeds the over time by Rs. 8000. How much did she earn in a year(except over time) ?

5. The lawn in front of Lathika's house is 12 m x 8 m , whereas the lawn in front of Nisha's house is 15m x 5m. A bamboo fencing is built around both the lawns. How much fencing is required for both ?

6. Amit purchased 2kg 200gm potatoes, 250gm rice, 15kg 300gm wheat, 500gm apples and 2kg 600gm tomatoes. Find the total weight of his purchases(in kilograms)

7. Temperature of a place at 12:00 noon was 5 degree Celsius. Temperature increased by 3 degree in first hour and decreased by 1 degree in the second hour. What was the temperature at 2:00 pm ?

8. In a colony of 100 blocks of flats numbering 1 to 100, a school van stops at every sixth block while a school bus stops at every tenth block. On which blocks will both of them stop if they start from the entrance of the balcony ?

9. Mathematics textbook for Class VII has 320 pages. The chapter 'Symmetry' runs from page 261 to page 272. The ratio of the number of pages of this chapter to the total number of pages of the book is??

10. The mean of 3 numbers is 40. All the three numbers are different natural numbers. If lowest is 19, what could be highest possible number of remaining two numbers ?

a. 81

b. 40

c. 100

d. 71

ANSWERS

1. 25

2. 7 tonnes

3. 80

4. Rs. 212880

5. 80m

6. 20.850kg

7. 7 degree Celsius

8. 30, 60, 90

9. 3:80

10. 81

Grade 7 Integers

INTEGERS

GRADE : 7

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I. Solve the following :

1. ( -343 ) x 22 + (-343) x 78 =

2. [ -10 - 3 x { 4 - (-4)} x { 3 - (5-3)}]

3. A boy dropped a pebble in the air from a height of 15 m which fell and settled at the bottom of a pond 10m deep. By how much distance did the pebble fall ?

4. A driver was collecting water samples from a lake. He collected sample at every interval of 3m, starting at 5m below the water surface. The final sample was collected at a depth of 35m. How many samples did he collect ?

5. I was 4km east of my home. Now i am 3km west of my home. How many kilometres did I travel ?

6. A sea-diver is 3.5m below the water level. At what depth is he now?

7. Start the integer 3 and subtract 10. From the answer subtract 1. Then multiply the answer by (-3). Now subtract 20 from the answer. what do you get ?

8. Find the value of 120 - 20 x 4

9. Which of the integers (-10), 7, 3, (-2) is closest zero on the number line ?

10. We entered the lift on the 16th floor. We got out of the lift on the 4th floor. How many floors did we travel downwards ?

Answers

1. ( -34300)

2. (-34)

3. (+25 ) m

4. 11 samples

5. 7km

6. 3.5m

7. 4

8. 40

9. -2

10. 12 floors

Friday, 17 April 2020

Grade 10 RealNumber (HCF,LCM)

Real Number _ HCF, LCM

Grade : 10

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1. A fruit vendor has 990 apples and 945 oranges. He packs them into baskets. Each basket contains only one of the two fruits but in equal number. Find the number of fruits to be put in each basket in order to have minimum number of baskets.

2. Find HCF of 81 and 237 and express it as a linear combination of 81 and 237
i.e. HCF (81, 237) = 81x + 237y for some x and y.

3. State Fundamental theorem of Arithmetic. Is it possible that HCF and LCM of two numbers be 24
and 540 respectively. Justify your answer.

4. Given that HCF(306,657)= 9. Find LCM of (306,657) ??

5.A shopkeeper has 120 litres of petrol 180 litres of Diesel And 240 litres of kerosene. He wants to sell oil by filling with three kinds of oil in tin of equal capacity what should be the greatest capacity of such a tin.

6. 144 cartons of Coke cans and 90 cartons of Pepsi cans are to be stacked in a canteen if each stack is of the same height and is to contain carton of the same drink what would be the greater number of cartons each stack would have ?

7. Find the largest number which divides 245 and 1029 leaving remainder 5 in each case ?

8. The HCF of two numbers is 23 and their LCM is 1449. If one of the numbers is 161 , find the other?

9.Find HCF and LCM of 378, 180 and 420 by prime factorisation method. Is HCF × LCM of these numbers equal to the product of the given three numbers?

10.Find the HCF and LCM of 510 and 92 and verify that HCF × LCM = Product of two given numbers.

Answers

1. HCF of 990 and 945 is 45.

2. x =- 38 and y = 13. These values of x and y are not unique.

3. Fundamental theorem of Arithmetic : states that every positive integer (except the number1) can be represented in exactly one way apart from rearrangement as a product of one or more primes .

LCM of two numbers should be exactly divisible by their HCF. In other words LCM is always a multiple of HCF. Since, 24 does not divide 540 two numbers cannot have their HCF as 24 and LCM as 540.

HCF = 24

LCM = 540

HCF / LCM = 24 / 540 = = 22.5 not an integer.

4. 22338

5. HCF= 60 litres

6. HCF =18

7. HCF = 16

8. 207

9. HCF × LCM not equal to Product of three numbers.

10. proof. HCF×LCM = Product of two numbers

Grade 5, 6 Knowing Numbers

Knowing Numbers

Grade 5,6

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1. Fill in the blanks:-

i. 456745 more than three hundred and seventy-six is ---------------

ii. The number of digits in 348900 is --------------------

iii. The digit in the ten thousand place of 5890345 is --------

iv. What is the place value of 4 in 2354678. --------------

v. Write the number name of 76,54,894 according to Indian standard system.------

2. Answer the following:-

I. How many lakhs make 2 million?

II. Write the sum of the place values of 8 and 5 in 4567890 .

III. Write 38,79,045 in words and expanded form.

IV. 2300 more than 5,67,689 is ?

V. How many 10 s are there in 1 million?

VI. Write 870093457 in Indian and International standard system.

VII. Subtract the place value of 5 from the place value of 3 in 236758.

VIII. Write the numeral for thirty two lakhs five hundred and one.

IX. Write the numeral for two million nine hundred and thirty six thousand eighty one.

X. Arrange in ascending order. 1,23,400; 76,34,56,589; 23,300; 45,35,499

XI. Write the number: 2000000+70000+800+90+1

XII. Write the smallest and largest possible 5 digit number using 6,0,1,4,2

XIII. Write the number before and after 15,09,999

XIV. Put periods in appropriate places In Indian Standard system. I) 234598 II) 89054637 III) 2300897654

XV. Compare 1234098 and 345672

3. Higher Order Thinking questions: -

I. Give the next number in the pattern 33,38,459 ; 33,40,459 ; 33,42,459; .......

II. Round the numbers to nearest 10, 100, 1000. I)345 ii) 567 iii)2347

III. Express 75, 45,200, 900 in Roman numbers

IV. Give the answer in Roman numerals a) XXV+XL b) LXII + XII c) L – XXXIX

V. Rewrite the news headlines by rounding

a) The flight carrying the cricketers from South Africa landed at 8:18 p. m (Round to the nearest half hour)

Answers

I. 457121

II. 6

III. 9

IV. 4000

V. Seventy six lakhs fifty four thousand eight hundred and ninety four.

I. 20 lakhs

II. 500800

III. Thirty eight lakhs seventy nine thousand and forty five.

Expanded form : 3000000+800000+70000+9000+40+5

IV. 569989

V. 100,000

VI. Indian : 87,00,93,457

International : 870,093,457

VII. 29950

VIII. 32,00,501

IX. 2,936,081

X. 23,300; 1,23,400; 45,35,499 ; 76,34,56,589

XI. 2070891

XII. Smallest Number : 10246

Largest Number : 64210

XIII. Before : 15,09,998

After : 15,10,000

XIV. i) 2,34,598

ii) 8,90,54,637

III) 2,30,08,97,654

XV. 12,34,098 > 3,45,672

I . 33,44,459

II.i) 345

Nearest 10's : 350

Nearest 100's : 300

Nearest 1000's : 0

ii) 567

Nearest 10's : 570

Nearest 100's : 600

Nearest 1000's :1000

iii)2347

Nearest 10's : 2350

Nearest 100's : 2300

Nearest 1000's : 2000

III) 75 in Roman Number = LXXV

45 in Roman Number =XLV

200 in Roman Number = CC

900 in Roman Number =CM

IV. a) LXV b) LXXIV c) XI

V. 8:30 p.m. [ Hint : 8:18 p.m. that is 18mins is closer to 30mins]

Monday, 13 April 2020

Grade 8 Rational Numbers.

Rational Numbers

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Convert the rational numbers into standard form :

1. 6/-35

2. 8/12

3. 39/91

FILL IN THE BLANKS

4. 3/5 = 12/ .....

5. 36/96 = 3/----

COMPARE THE RATIONAL NUMBERS USING <, > , =

6. 2/9 and 5/6

7. -1/8 and -5/4

8. 0 and 2/3

ARRANGE THE RATIONAL NUMBERS IN ASCENDING ORDER:

9. 3/8 , 4/12 , -7/16, -2/3

10. 2/5, -1/2, -8/15, -3/-10

ANSWERS

1. -6/35

2. 2/3

3. 3/7

4. 20

5. 8

6. 2/9 < 5/6

7. -1/8 > -5/4

8. 0< 2/3

9. -2/3 < -7/16 < 4/12 < 3/8

10. -8/15 < -1/2 < -3/-10 < 2/5

Sunday, 12 April 2020

Grade 10 _ Real Numbers

Real Numbers

Grade :10

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1. Two tankers contain 850 litres and 680 litres of petrol respectively. Find the maximum capacity of a container which can measure the petrol of either tanker in exact number of times.

2. Prove that the product of any three consecutive positive integers is divisible by 6.

3.Apply Euclid’s division algorithm to find HCF of numbers 4052 and 420.

4. Three bells toll at intervals of 12 minutes, 15 minutes and 18 minutes respectively. If they start tolling together, after what time will they next toll together?

5. If HCF of 144 and 180 is expressed in the form 13m – 3, find the value of m.

6. Show that reciprocal of 3+2√2 is an irrational number.

7. Find HCF of 378,180 and 420 by prime factorisation method. Is HCF x LCM of three numbers equal to the product of the three numbers?

8. Find the HCF of 255 and 867 by Euclid’s division algorithm.

9. Find HCF of 65 and 117 and find a pair of integral values of m and n such that

HCF = 65m + 117n.

10. Using Euclid’s division algorithm, find whether the pair of numbers 847,2160 are
co- primes or not.

ANSWERS

1. HCF( 850, 680) = 170 liters

2. refer cbse text

3. HCF = 4

4. LCM =180

5. m=3

6. Refer NCERT text

7. HCF = 6; No. HCF (p, q, r) x LCM (p, q, r) ≠ p x q x r. where p, q, r are positive integers

8. HCF =51

9.The HCF of 65 and 117 is 13.
The required pair of integral values of m and n is
(2,-1) which satisfies the given relation HCF = 65m + 117n.

10. HCF =1; The numbers are co primes

NumberSystem Grade 5, 6, 7

NumberSystem

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Grade : 5, 6, 7

1. I am a number between 20 and 30. If you divide 47 and 92 by me, the remainders are 3 and 4, respectively. What number am I ?

2. I am a number between 10 and 20. If you divide 100 or 122 by me, the remainder is 1. What number am I ?

3. I am a number between 13 and 20. If you divide 50 or 98 by me, the remainder is 2. What number am I ?

4. The cost of a notebook is Rs. 39. What does it costs for 7 such books ?

5. In a pair of identical bouquets, the florist placed 39 roses and 11 gladioli in each. How many flowers did he use in all ?

SIMPLIFY .

6. 70 + 2 x 5 + 3 of 10 - 60 ÷ 6

7. 7 + [12 - { 8 +3 - (9 of 6 + 1 -13 x 4)}]

8. 20 - 2(5-4) x { 3 - (5-3)}

9. Which of the numbers are divisible by 3 ? { 813 , 200, 300, 12 }

10.Which of the numbers are divisible by 4 ? { 200, 2300, 34, 124}

ANSWERS

1. 22

2. 11

3. 16

4. RS. 273

5. 100

6. 100

7.11

8. 18

9. 813, 300, 12

10. 200, 2300, 124

Saturday, 11 April 2020

Grade 10 _ Real Numbers & Pair of linear equations

Real Numbers & Pair of linear equations

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Class : 10

1. If HCF (336, 54) = 6, find LCM (336, 54).

2. Find the nature of roots of the quadratic equation 2x2 – 4x + 3 = 0.

3. Write the smallest number which is divisible by both 306 and 657.

4. Find the value(s) of k so that the pair of equations x + 2y = 5 and 3x + ky + 15 = 0 has a unique solution.

5. Prove that 2 + 5 √3 is an irrational number, given that 3 is an irrational number.

6. Using Euclid’s Algorithm, find the HCF of 2048 and 960.

7. HCF of 168 and 126 is

8. The pair of lines represented by the equations 2x+y+3 = 0 and 4x+ky+6 = 0 will be parallel if value of k is ______.

9.If the quadratic equation x2 – 2x + k = 0 has equal roots, then value of k

10. Prove that 5 - √3 is irrational, given that √3 is irrational.

11. An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two groups are to march in the same number of columns. What is the maximum number of columns in which they can march ?

ANSWERS

1. 3024

2. Equation has NO real roots

3. LCM (306, 657) = 22338

4. k ≠ 6

5. Refer cbse text book

6. HCF (2048, 960) = 64

7. 42

8. 2

9.1

10. Refer cbse text book

11.616 =32 x 19+8

⇒ r = 8≠0

32 = 8 x 4+0

⇒ r = 0

The HCF of 32 and 616 is 8

Algebra Grade 5, 6, 7

ALGEBRA

Class : 5,6, 7

Duration :30 minutes

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I. Find the answers to the following Questions:

The solution of (2x+1)/(3x-1) = 3/2 is ......

2. If a number increased by 8% of itself gives 135, then that number is ------

3. What is the reciprocal of 1/(a-3b) when b = a/3 ?

4. The solution of 0.2(2x-1) - (0.5(3x-1) = 0.4 is -----

5. What must be subtracted from each term of the ratio 4:7, so that the ratio becomes 2:5 ?

6. The ratio of two numbers is a:b. If one of them is x, then other is ?

7. Amulya is x years of age now. 5 years ago her age was .......

8. The expression obtained when x is multiplied by 2 and then subtracted from 3 is -------

9. There are 288 plants in a nursery. The number of plants in one row is double the number of

rows. Find the number of rows ?

10. The sum of two numbers is 19. One of the numbers is one more than twice the other.

Represent this statement in the form of an equation using variable x ?

ANSWERS

1. x=1

2. 125

3. 0

4. (-1/11)

5. 2

6. (bx)/a

7. (x-5)years

8. 3-2x

9. 12

10. x+(2x+1)=19

Algebra Grade 7, 8, 9

Algebra_Age Sums

Class 7,8,9

Duration :30 minutes

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Questions :

1. Raju's present age is 6 years. His brother age is 3 times that of Raju's age. Find his brother's age after three years ?

2. Rajeev age after 15 years will be 5 times his age 5 years back. What is the present age of Rajeev ?

3. The present age of Ram is one sixth of his father's present age. If the difference between their

present ages is 35 years, then what is his father's present age ?

4. The ages of Ravi and Rani are in the ratio of 3:5. After 9 years, the ratio of their ages will become

3:4. Find the present age of Rani ?

5. Ages of two friends are in the ratio 2:1. If the sum of their ages is 51, then their ages are

respectively-----

6. At present, the ratio between the ages of Arun and Deepak is 4:3. After 6 years, Arun's age will be

26 years. what is the age of Deepak at present ?

7. The difference in age between a girl and her younger sister is 4 years . The younger sister is 4 years. the younger sister in turn is 4 years older than her brother. The sum of the ages of the younger sister and her brother is 16 years. How old are the 3 children ?

8. Meera's mother is four times as old as Meera. After 5 years her mother will be three times as old

as she will be then. What are their present ages ?

9. This year, your brother Jack will be 2 years from being twice as old as your sister Jen. The sum of

Jack's age and three times Jen's age is 66. How old is Jen?

10. Raju is 4 years older than Rani. Next year Raju will be 2 times as old as Rani. How old is Raju?

Answers:

1. 21 years

2. 10 years

3. 42 years

4. 15 years

5. 34 years, 17 years

6. 15 years

7. Girl: 14, Younger sister : 10, Brother: 6

8. Meera: 10 years, Mother : 40 years

9. 13.6 years

10. 7 years

Fractions Grade 5, 6, 7

Topic : FRACTIONS

Grade : 5, 6, 7

Duration : 30 minutes

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Choose the correct answer :

1. In Reetha's rose garden 3/12 are white roses , 4/12 are yellow roses and the rest are red roses.

What fraction of the roses are red ?

a) 1/12

b) 5/12

c) 3/12

d) 4/12

2. A small tank is 2/5 full of water. The water is then poured into a large empty tank which has a

capacity that is twice that of the small tank. what fraction of the large tank is filled with water ?

a.) 3/5

b) 2/5

c) 1/5

d) 4/5

3. Barun had 21/4 kg of sugar. He used 5/2kg to bake some cakes. How much sugar did he have left?

a) 3/4 kg

b) 9/4 kg

c) 11/4 kg

d) 1/2 kg

4. Prem reads 3/5 of a book. He finds that there are still 80 pages left to be read. Total number of

pages in book is ----

a) 100

b) 200

c) 300

d) 400

5. Amit had 128 trading cards. He gave 3/8 of his cards to Mohit and 1/4 of his cards to Kushal.

How many cards did he give away altogether ?

a) 50

b) 65

c) 80

d) 75

6. Out of the following fractions , which is the improper fraction ?

a) 6/7

b) 6/1513

c)43/7

d) 1234/2768

7. Ram had 15 chocolates. He gave 1/5th of the total to his friend Ravi. How many chocolates is Ram left with ?

a) 12

b) 3

c) 5

d) 1

8) A Yacht 11/3 m in height is floating on water. If 1/6th of its height is under water, what is the

height of the yacht visible above the water ?

a) 49/16 m

b) 31/18 m

c) 0

d) 66/18 m

9. How many months are there in 2/5 of a century ?

a) 420

b)480

c) 90

d) 98

10. How many seconds are there in 2/3 of 2 hours ?

a) 3840 sec

b) 4800 sec

c) 640 sec

d) 0

ANSWERS:

1- b

2 - c

3- c

4-b

5-c

6-c

7-a

8- d

9-b

10-b

Reasoning Ability Level 1

Reasoning Ability Worksheet (Maximum Time: 20 minutes)

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1. If Dev finds that he is twelfth from the right in a line of boys and fourth from the left, how many boys should be added to the line such that there are 28 boys in the line ?

a) 11
b) 13
c) 15
d) 18

2. If the day before yesterday was Thursday , when will Sunday be ?

a) Today
b) Yesterday
c) Tomorrow
d) Day after tomorrow

3. Guru remembers that his elder brother was born between 13th and 16th April while his mother remembers that he was born after 14th April but before 17th April. If the statements of both are considered correct, then on which date of April he was born ?

a) 14th
b) 15th
c) 16th
d) 14th or 15th

4. In the word MATHEMATICAL, if the first and third letters, the fourth and the sixth letters, the seventh and the ninth letters and the tenth and the twelfth letters were interchanged, then which of the following would be the seventh letter from the left end ?

a) M
b) A
c) H
d) I

5. Arrange the following words in the sequence in which they occur in the dictionary.
1. select 2. seldom 3. send 4. selfish 5. seller

a) 1, 2, 4, 5, 3
b) 2, 1, 5, 4, 3
c) 2, 1, 4, 5, 3
d) 2, 5, 4, 1, 3

6. Which number will be the smallest if the first and the last digits are interchanged in all the given numbers ?

389 476 635 847 568

a) 389
b) 476
c) 635
d) 847
e) 568

7. In a race in which 129 boys participated, Maya said " I was 17th from the last". What was Maya's position from the beginning ?

a) 111th
b) 112th
c) 113th
d)114th

8. If in the word VITREOUS first all the consonants are arranged alphabetically, and then all the vowels are arranged alphabetically, then which letter will be the third to the right of fourth letter from the left ?

a) R
b) O
c)I
d) U

9. Which number will be the largest if the first and last digits of each of the following numbers are interchanged?
389 476 635 847 568

a) 389
b) 476
c)635
d) 847
e) 568

10. What will be the resultant if third digit of the highest number is subtracted from the second digit of the smallest number?

489 541 654 935 873

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

ANSWERS:

1- b
2- c
3- b
4- d
5- c
6-c
7- c
8- b
9- a
10- a