1) In case of compound interest, the rate of compound interest per annum is
a) equal b) unequal c) both equal or unequal d) none.
2) In case of compound interest
a) The principals remains unchanged each year
b) principal changes in each year
c) principal may be equal or unequal in each year d) none
3) If p + q= √13 and p- q= √5 then the value of PQ is
a) 2 b) 18 c) 9 d) 8
4) If a + b= √5 and a - b=√3 then the value of a²+ b²
a) 8 b) 4 c) 2 d) 1
5) If ax²+ bx + c=0 is a quadratic equation then
a) b≠ 0 b) c≠ 0 c) a≠ 0 d) none.
6) The highest power of the variable of a quadratic equation is
a) 1 b) 2 c) 3 d) none
7) The equation 4(5x²- 7x +2)= 5(4x²- 6x +3) is
a) linear b) quadratic c) 3rd degree d) none
8) x = 2+ √3 then value of x+ 1/x
a) 2 b) 2√3 c) 4 d) 2-√3
9) A person goes 24m West from a place and then he goes 10m north. The distance of the person from the starting point is
a) 34m b) 17m c) 26m d) 25m
10) Two rods of 13m length and 7m length are situated perpendicularly on the ground and the distance between their feet is 8m. The distance between their top parts is
a) 9m b) 10m c) 11m d) 12m.
11) If sinx - cosx = 0 (0≤ x ≤ 90°) and sex + cosecx = y, then the value of y is
a) 1 b) 2 c) √2 d) 2√2
12) If tanx + cotx =2, then the value of (tan¹³x + cot¹³x) is
a) 1 b) 0 c) 2 d) none
13) If cotx = 7/7.5, then cosecx is
a) 7.5/4 b) 8/17 c) 17/15 d) 15/17
14) If 2x = secA and tanA= 2/x then the value of 2(x²- 1/x²)²= ?
a) 1/2 b) 1/4 c) 1/8 d) 1/16
15) The value of (sin43° . cos47°+ cos43° sin47°) is
a) 0 b) 1 c) sun4° d) cos4°
16) If tanx = 4/5, then cosx =
a) 4/5 b) 3/5 c) 3/4 d) 5/√41
17) If sinx = 1/√2, then sec2x =
a) 0 b) 1 c) 2 d) none
18) The value of ( tan35/cot55 + cot78/tan12) is
a) 0 b) 1 c) 2 d) none
19) ABC is a triangle. Then sin{(B+ C)/2}=
a) sin(A/2) b) cos(A/2) c) sinA d) cosA
20) If two cubes of length of each side 2√6 are placed side by side, then the length of the diagonal of the cuboid so produce is
a) 10cm b) 6cm c) 2cm d) 12cm
21) If side of a cube is a unit and the diagonal of the cube is d unit then the relation between a and d will be:
a) √2 a= d b) √3 a = d c) a= √3 d d) a= √2 d
22) The volume inside a rectangular box is 440 cubic cm and the area of the inner base is 88 sq cm, then the inner height of the box is
a) 4cm b) 5cm c) 3cm d) 6 cm
23) A rectangular pit is 40m long , 12m wide and 16m deep. In this pit a plank 5m long, 4 m wide and 2 m high will be placed ?
a) 190 b) 192 c) 184 d) 180
24) The area of the lateral plane of a cube is 256 sq.m volume of cube
a) 64cune m b) 216 cube m c) 256 cube m d) 51 cube m
25) If the ratio of the volumes of two cubes is 1:27, then the ratio of the area of the total surface of both the cubes is
a) 1:3 b) 1 : 8 c) 1: 9 d) 1:18
26) if the area of all the sides of a cube is 5 square unit and the length of the diagonal is d units, then the contact between S and d is
a) S= 6d² b) 3S= 7d c) S³= d² d) d²= S/2
27) The median of the data 11 , 29, 17, 21, 13, 31, 39, 19 is
a) (19+29)/2 b) 19 c) 21 d) none
28) Mode is the
a) least frequent value
b) middle most value
c) most frequent value
d) largest value
29) The mode of the data 1, 2, 3, 4, 5, 6, 7 is
a) 4 b) 6 c) 7 d) none
30) median of a frequency distribution can be obtained from
a) pie diagram
b) histogram
c) frequency polygon
RATIONAL NUMBER
1) Every Rational number is
a) a natural number
b) an integer
c) a real number
d) a whole number
2) Decimal representation of a rational number cannot be
a) terminating
b) non-terminating
c) non-terminating repeating
d) non-terminating non-repeating
3) π is an irrational number because its decimal expansion is
a) terminating
b) non-terminating
c) non-terminating repeating
d) non-terminating non-repeating
4) Every point on a number line represents
a) a unique real number
b) a natural number
c) a rational number
d) an irrational number
5) Which of the following is a rational number?
a) -2/3 b) -1/√5 c) 13/√5 d) √2/3
6) Which of the following is irrational ?
a) 0.15 b) 0.1 5161616....
c) 0.151615161516....
d) 0.5015001500015....
7) A rational number equivalent to 3/17 is
a) 6/17 b) 6/34 c) 17/3 d) 3/34
8) A rational number between 2 and 3 is
a) 2.010010001.... b) √6 c) 5/2 d) 4 - √2
9) Four rational numbers between 3 and 4 are
a) 3.1, 3.2 , 3.8, 3.9
b) 3/5, 4/5, 1, 6/5
c) 3.1, 3.2, 4.1, 4.2
d) 13/5, 14/5, 16/5, 17/5
10) The smallest irrational number to be added to 3 + √2 to get a rational number is
a) -√ 2 b) 3 -√2 c) √2- 3 d) √3+2
11) The value of 0.3333....in the form p/q, where p and q are integers and q≠ 0 is
a) 33/100 b) 3/10 c) 1/3 d) 3/100
12) 0.322222.... Expressed in the form of p/q, where p and q are integers and q ≠0, is
a) 8/25 b) 29/90 c) 32/99 d) 32/199
13) 0.437437437.... expressed in the form of p/q, where p and q are integers and q≠ 0, is
a) 437/9999 b) 394/999 c) 434/99 d) 437/99
14) simplest rationalization factor of ³√40 is
a) ³√25 b) ³√5 c) √40 d) √5
15) 2√5+ √5 is equals to
a) 2√10 b) 10 c) 3√5 d) 3√10
16) The perimeter of the given figure is
a) 60√5 b) 12√5 c) 27√5 d) 32√5
17) On simplification of (2√5/3 - √2/2 + 6√11)+ (√5/3 + 3√2/2 - √11), we get
a) √5+ √2+ 5√11
b) √5/2+ 2√2 +√11
c) √5+√2+ 6√11
d) √5+ 2√2+ 5√11
18) The product of ³√7 and √5 is
a) ³√35 b) ⁶√35 c) ⁶√6125 d) ⁶√1225
19) The product of √18/6 and √18/3 is
a) 1 b) 1/12 c) 1/3 d) √2
20) √5 x √7 x √15 x √21 in simplification form is
a) √105 b) √210 c) 105 d) 210
21) (3+ √3)(3- √3) on simplification becomes equal to
a) 18 b) 2√3 c) 6 d) 9
22) The value of (3+ √5)²(3 - √5)² is
a) 15 b) 16 c) 4 d) 14
23) ³√250 ÷ ³√10 in simplified form is equals to
a) ³√25 b) 5 c) √5 d) ³√2500
24) 30/(√20 + √5) is equals to
a) 10/3√5 b) 30/√5 c) 10/√5 d) 12√5
25) 6/(√12 - √3) is equal to
a) 1/√3 b) 2/√3 c) 2√3 d) 6√3
Short Answer Questions
1) Express 0.1233333..... in the form of p/q, where p and q are integers and q≠ 0.
2) Express 0.999999.... in the form of p /q, where p and q are integers and q≠ 0.
3) Arrange ³√4, √3 and ⁴√6 in descending order.
4) Find to rational numbers between -2/3 and 1/4.
5) Rationalize the denominators of (√7- √6)/(√7 + √6).
6) Two classmate Salma and Anil simplified two different expressions during the revision hour and explained to each other their simplifications. Salma explains simplification of √2/(√5+ √3) and Anil explains simplification of √28 + √98 + √147. Write both the simplification . What value does it depict ?
7) Varun was facing some difficulty in simplification and 1/(√7 - √3). His classmate Priya gave him a clue to rationalize the denominator for simplification . Varun simplified the expression and thanked Priya for this goodwill. How did Varun Simplify 1/(√7 - √3)? What value does it indicate ?
EXPONENTIAL
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