LINEAR EQUATIONS
1) If 2x -.3= x +2, then x =
a) 1 b) 3 c) 5 d) 7
2) If 5x + 7/2 = 3x/2 -14=0, then x=
a) 5 b) -5 c) 6 d) -6
3) If u= (4/5) (z+10), then =
a) 40 b) 20 c) 10 d) 60
4) If 3m= 5m - 8/5, then m=
a) 2/5 b) 3/5 c) 4/5 d) 1/5
5) If 5t -3 = 3t - 5, then t=
a) 1 b) -1 c) 2 d) -2
6) If 2y + 5/3 = 26/3 - y, then y=
a) 1 b) 2/3 c) 6/5 d) 7/3
7) If (6x +1)/3 + 1= (x -3)/6, then x=
a) 1 b) -1 c) 3 d) -3
8) If n/2 - 3n/4+ 5n/6= 21, then n=
a) 30 b) 41 c) 36 d) 28
9) If (x +1)/(2x +3)= 3/8. Then x
a) 1/4 b) 1/3 c) 1/6 d) 1/2
10) If (4x +8)/(5x +8)= 5/6. Then x
a) 4 b) 6 c) 8 d) 12
11) If If x/(x +15)= 4/9 Then x
a) 4 b) 6 c) 9 d) 12
12) If 3(t -3)= 5(2t +1), . Then t
a) -2 b) 2 c) -3 d) 3
13) Four-fifths of a number is greater than three-fourths of the number by 4. The number is
a) 12 b) 64 c) 80 d) 102
14) The age of A and B are in the ratio 5:7. Four years from now the ratio of their ages will be 3:4. The present age of B is
a) 20 b) 28 c) 15 d) 21
15) The base of an isosceles triangle is 6cm and its perimeter isb16 cm. Length of each of the equal sides is
a) 4 cm b) 5cm c) 3cm d) 6cm
16) Sum of three consecutive integers is 51. The middle one is
a) 14 b) 15 c) 16 d) 17
17) The sum of two numbers is 95. If one exceeds the other by 15, then the smaller of the two is
a) 40 b) 35 c) 45 d) 55
18) Number of boys and girls in a class in the ratio 7:5. The number of boys is 8 more than the number of girls. The total class strength is
a) 56 b) 52 c) 48 d) 36
19) x/4 + x/6 - x/2 = 3/4 => -9. T/F
20) 2x - 5=0 => x= 2/5. T/F
PERCENTAGE
1) 3/5=?
A) 30% b) 40% c) 45% d) 60%
2) 0.8% when expressed as a decimal, is
a) 0.08 b) 0.008 c) 8 d) 0.8
3) 6:5 when expressed as a percentage, is
a) 250/3% b) 90% c) 120% d) 6.5%
4) 5% of a number is 9. The number is
a) 45 b) 90 c) 135 d) 180
5) What percent of 90 is 120?
a) 75% b) 100/3% d) 400/3% d) none
6) What percent of 10kg is 250?
a) 25% b) 5% c) 10% d) 2.5%
7) 40% of ?= 240
a) 60 b) 600 c) 6000 d)960
8) ?% of 400= 60
a) 6 b) 12 c) 15 d) 20
9) (180% of ?)= 504
a) 400 b) 480 c) 600 d) 560
10) 20% of Rs 800=?
a) Rs 160 b) Rs 16 c) Rs 1600 d) none
11) In an examination. Nitin gets 98 marks. This amounts to 56% of the maximum marks. What are the maximum marks?
a) 75 b) 150 c) 175 d) 225
12) A number is first increased by 10% and then reduced by 10%. The number
a) does not change b) decrease by 1% c) increases by 1% d) none
13) A period of 4 hours 30 mins is what percent of a day?
a) 75/4% b) 20% c) 50/3% d) 19%
14) In an examination, 65% of the total examinees passed. If the number of failure is 420, the total number of examinee is
a) 500 b) 1000 c) 1200 d) 1625
15) A number exceeds 20% of itself by 40. The number is
a) 50 b) 60 c) 80 d) 320
16) A number decreased by 55/2% gives 87. The number is
a) 58 b) 110 c) 120 d) 135
17) 9.05% is what percent of 20?
a) 25% b) 2.5% c) 0.25% d) 0.025%
18) One-third of 1206 is what percent of 134?
a) 3% b) 30% c) 20% d) 300%
19) x% of y is y% of?
a) x b) 100x c) x/100 d) y/100
20) What percent of 2/7 is 1/35?
a) 2.5% b) 10% c) 20% d) 25%
21) What percent of 2/9 is 1/45?
a) 2,5% b) 5% c) 7.5% d) 10%
22) A number decreased by 30% gives 84. The number is
a) 90 b) 110 c) 120 d) 135
23) (?)% of 320 is 48?
a) 25% b) 15% c) 14% d) 9%
24) What percent of 45 is 54 ?
a) 250/3% b) 104% c) 108% d) 120%
25) A number exceeds 25% of itself by 60. The number is
a) 75 b) 45 c) 80 d) 65
26) 5% of which number is 12?
a) 120 b) 180 c) 240 d) 320
FILL IN THE BLANKS.
1) 7.5% of Rs 1200= ___'
2) 240 ml is ___% of 3L
3) if x% of 35 is 42, then x =____
4) 12/5= ____%
5) 120= (__ )% of 80.
TRUE/ FALSE
1) 6% of 8 is 48.
2) 6:5= 30%
3) 3/5= 60%
4) 6 hours= 25% of a day.
PROFIT AND LOSS
1) Rajan buys a toy for Rs 75 and sells it for Rs 100. His gain percentage is
a) 25% b) 20% c) 100/3% d) 75/2%
2) A bat is bought for Rs 120 and sold for Rs 105. The loss percent is
a) 15% b) 25/2% c) 50/3% d) 71/5%
3) A bookseller sells a book for Rs 100, gaining Rs 20. His gain percentage is
a) 20% b) 25% c) 22% d) none
4) On selling an article for Rs 48, a shopkeeper loses 20%. In order to gain 20%, what would be the selling price?
a) Rs 52 b) Rs 56 c) Rs 68 d) Rs 72
5) On selling an article at a certain price a man gains 10%. On selling the same article at double the price, gain percentage is
a) 20% b) 100% c) 120% d) 140%
6) Bananas are bought at 3 for Rs 2 and sold at 2 for Rs 3. The gain percent is
a) 25% b) 50% c) 75% d) 125%
7) If the selling price of 10 pens is the same as the cost price of 12 pens then gain percent is
a) 2% b) 12% c) 20% d) 25%
8) On selling 100 pencils a man gains the selling price of 20 pencils. His gain percent is
a) 20% b) 25% c) 45/2% d) 50/3%
9) Ravi buys some toffees at 5 for a rupee and sells them at 2 for a rupee. His gain percent is
a) 30% b) 40% c) 50% d) 150%
10) Oranges are bought at 5 for Rs 10 and sold at 6 for Rs 15. His gain percent is
a) 50% b) 40% c) 35% d) 25%
11) By selling a radio for Rs 950, a man loses 5%. What percent shall he gain by selling it for Rs 1040
a) 4% b) 4.5% c) 5% d) 9%
12) The selling price of an article is 6/5 of the cost price. The gain percent is
a) 20% b) 25% c) 30% d) 120%
13) On selling a chair for Rs 720, a man loses 25%. To gain 25% it must be sold for
a) Rs 900 b) Rs 1200 c) Rs 1080 d) Rs 1440
14) The ratio of cost price and selling price of an article is 20:21. What is the gain percent on it ?
a) 5% b) 11/2% c) 6% d) 25/4%
15) A man sold two chairs for Rs 500 each. On one he gains 20% and on the other he loses 12%. His net gain or loss percent is
a) 1.5% b) 2% c) 1.5% d) 2%
16) The profit earned on selling an article for Rs 625 is the same as loss on selling it for Rs 435. The cost price of the article is
a) 520 b) 530 c) 540 d) 550
17) A man buys an article for Rs 150 and makes overhead expenses which are 10% of the cost price. At what price must be sell it to gain 20%
a) 182 b) 192 c) 198 d) 208
18) If an article is sold at a gain of 5% instead of being sold at a loss of 5%, a man gets Ra 5 more. What is the cost price of the article?
a) 50 b) 40 c) 60 d) 80
19) A dealer lists his article at 20% above cost price and allows a discount of 10%. His gain percent is
a) 10% b) 8% c) 9% d) 33/4%
20) The marked price of an article is 10% more than the cost price and a discount of 10% is given on the marked price. The seller has
a) no gain no loss
b) 1% gain c) 1% loss d) none
21) The price of which including 10% VAT is Rs 825. What is its basic price
a) 742.50 b) 775 c) 750 d) 907.50
22) On selling 100 pens, a man gains the selling price of 20 pens. The gain percent is
a) 20% b) 25% c) 50/3% d) 15%
23) A man sells a bat for Rs 100 gaining Rs 20. His gain percent is
a) 20% b) 22% c) 18% d) 25%
24) The selling price of an article is 6/5 of the cost price. The gain percent is
a) 15% b) 20% c) 25% d) 30%
25) On selling a chair for Rs 680, a man loses 15%. To gain 15%, it must be sold for
a) 800 b) 680 c) 920 d) 884
26) A dealer lists his goods at 20% above cost price and allows a discount of 10%. His gain percent is
a) 10% b) 9% c) 8% d) 12%
27) The price of a watch including 8% VAT is Rs 810. What is its basic price?
a) 675 b) 729 c) 750 d) 745
FILL IN THE BLANKS
1) The discount is reckoned on the __''price
2) Gain or loss is always reckoned on the ____
3) SP= (Marked price) - (___)
4) VAT is charged on the _____ of the article.
TRUE OR FALSE
1) SP= (100+ loss%)/100 x CP
2) CP= 100/(100+ gain%) x SP
3) Gain is reckoned on the selling price.
4) The discount is allowed on the marked price.
COMPOUND INTEREST
QUADRILATERAL
1) The two diagonals are not necessarily equal in a
a) a rectangle b) square c) rhombus d) isosceles trapezium
2) The lengths of the diagonals of a rhombus are 16cm and 12 cm. The length of each side of the rhombus is
a) 8cm b) 9cm c) 10cm d) 12cm
3) Two adjacent angles of a parallelogram are (2x +25)° and (3x -5)°. The value of x is
a) 28 b) 32 c) 36 d) 42
4) The diagonal do not necessarily intersect at right angles in a
a) parallelogram b) rectangle c) rhombus d) kite
5) The length and breadth of a rectangle are in the ratio 4:3. If the diagonal measure 25 cm then the perimeter of the rectangle is
a) 56cm b) 60cm c) 70 cm d) 80cm
6) The bisectors of any adjacent angles of a parallelogram intersect at
a) 30° b) 45° c) 60° d) 90°
7) If an angle of a parallelogram is two thirds of its adjacent angle, the smallest angle of the parallelogram is
a) 54° b) 72° c) 81° d) 108°
8) The diagonals do not necessarily bisect the interior angles at the vertices in a
a) rectangle b) square c) rhombus d) all of these
9) In a square ABCD, AB= (2x +3) and BC= (3x -5)cm. Then, the value of x is
a) 4 b) 5 c) 6 d) 8
10) If one angle of a parallelogram is 24° less than twice the smallest angle then the largest angle of the parallelogram is
a) 68° b) 102° c) 112° d) 176°
MENSURATION
1) The maximum length of a pencil that can be kept in a rectangle box of dimensions 12cmx 9cm x 8cm is
a) 13 cm b) 17cm 18 cm d) 19cm
2) The total surface area of a cube is 150cm². Its volume is
a) 216cm³ b) 125cm³ c) 64cm³ d) 1000cm³
3) The volume of a cube is 343m³. Its total surface area is
a) 196cm² b) 49cm² c) 294cm² d) 147cm²
4) The cost of painting the whole surface area of a cube at the rate of 10 paise per cm² is Rs 264.60. then the volume of the cube is
a) 6859cm³ b) 9261cm³ c) 8000cm³ d) 10648cm³
5) How many bricks, each measuring 25cm x 11.25 cm x 6cm, will be needed to build a wall 8m long, 6m high and 22.5cm thick?
a) 5600 b) 6000 c) 6400 d) 7200
6) How many cubes of 10cm edge can be put in a cubical box of 1m edge?
a) 10 b) 100 c) 1000 d) 10000
7) The edges of a cuboid are in the ratio 1:2:3 and its surface area is 88 cm². The volume of the cuboid is
a)
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