Applied Science, Engineering and Management (Diploma Standard)
Question 1Single Answer
Which of the following is a natural number?
A
−4
B
0.5
C
7
D
−2.5
Question 2Single Answer
Which of the following is an integer?
A
3/5
B
2.7
C
√2
D
−8
Question 3Single Answer
Which of the following is a rational number?
A
7/11
B
π
C
√2
D
√5
Question 4Single Answer
Which of the following is an irrational number?
A
0.25
B
√3
C
7/8
D
−5
Question 5Single Answer
Every integer is also a:
A
Natural number
B
Rational number
C
Irrational number
D
Prime number
Question 6Single Answer
The additive identity is:
A
1
B
0
C
−1
D
10
Question 7Single Answer
The multiplicative identity is:
A
1
B
0
C
−1
D
10
Question 8Single Answer
The additive inverse of −13 is:
A
−13
B
0
C
1/13
D
13
Question 9Single Answer
The reciprocal of 5/7 is:
A
5/7
B
−5/7
C
7/5
D
12/5
Question 10Single Answer
18 + 27 − 15 =
A
30
B
25
C
20
D
35
Question 11Single Answer
48 ÷ 6 × 3 =
A
8
B
24
C
18
D
144
Question 12Single Answer
15 × 12 =
A
160
B
170
C
190
D
180
Question 13Single Answer
196 ÷ 14 =
A
14
B
12
C
16
D
18
Question 14Single Answer
√144 =
A
12
B
11
C
10
D
14
Question 15Single Answer
√225 =
A
15
B
12
C
20
D
25
Question 16Single Answer
√0.81 =
A
0.09
B
0.9
C
9
D
0.081
Question 17Single Answer
0.75 expressed as a fraction is:
A
1/2
B
2/3
C
4/5
D
3/4
Question 18Single Answer
3/8 in decimal form is:
A
0.125
B
0.625
C
0.875
D
0.375
Question 19Single Answer
2.5 + 3.75 =
A
6.25
B
5.25
C
7.25
D
8.25
Question 20Single Answer
7.2 − 3.85 =
A
3.25
B
3.35
C
3.45
D
4.35
Question 21Single Answer
0.4 × 0.5 =
A
0.02
B
0.002
C
2
D
0.2
Question 22Single Answer
4.8 ÷ 0.6 =
A
8
B
7
C
6
D
9
Question 23Single Answer
25% of 200 is:
A
25
B
40
C
50
D
75
Question 24Single Answer
40% of 350 is:
A
140
B
120
C
150
D
160
Question 25Single Answer
72 is what percent of 240?
A
20%
B
25%
C
30%
D
35%
Question 26Single Answer
If a quantity increases from 80 to 100, the percentage increase is:
A
20%
B
30%
C
25%
D
40%
Question 27Single Answer
If a price falls from ₹500 to ₹400, the percentage decrease is:
A
10%
B
15%
C
25%
D
20%
Question 28Single Answer
The original number is:
A
80
B
90
C
110
D
100
Question 29Single Answer
12.5% is equal to:
A
1/4
B
1/5
C
1/10
D
1/8
Question 30Single Answer
66⅔% is equal to:
A
1/3
B
4/5
C
3/4
D
2/3
Question 31Single Answer
If 5 pens cost ₹60, the cost of 8 pens is:
A
₹84
B
₹108
C
₹100
D
₹96
Question 32Single Answer
If 12 metres of cloth cost ₹540, the cost per metre is:
A
₹35
B
₹40
C
₹50
D
₹45
Question 33Single Answer
A car travels 180 km in 3 hours. Its speed is:
A
50 km/h
B
70 km/h
C
60 km/h
D
90 km/h
Question 34Single Answer
At 72 km/h, the distance covered in 2.5 hours is:
A
144 km
B
160 km
C
200 km
D
180 km
Question 35Single Answer
A train travels 240 km at 60 km/h. Time taken is:
A
4 h
B
3 h
C
5 h
D
6 h
Question 36Single Answer
54 km/h is equal to:
A
10 m/s
B
15 m/s
C
12 m/s
D
18 m/s
Question 37Single Answer
20 m/s is equal to:
A
54 km/h
B
60 km/h
C
90 km/h
D
72 km/h
Question 38Single Answer
A person walks 5 km in 1 hour 15 minutes. Speed is:
A
3 km/h
B
5 km/h
C
4 km/h
D
6 km/h
Question 39Single Answer
A completes a job in 10 days. A's one-day work is:
A
1/5
B
1/10
C
1/20
D
10
Question 40Single Answer
B completes a job in 15 days. B's one-day work is:
A
1/10
B
1/12
C
1/15
D
1/30
Question 41Single Answer
A can do a job in 10 days and B in 15 days. Together they complete it in:
A
5 days
B
6 days
C
8 days
D
12 days
Question 42Single Answer
If 8 workers complete a job in 12 days, 16 workers will complete it in:
A
4 days
B
6 days
C
8 days
D
10 days
Question 43Single Answer
If 12 men can build a wall in 15 days, how many man-days are required?
A
180
B
150
C
120
D
200
Question 44Single Answer
The simple interest on ₹1000 at 10% per annum for 2 years is:
A
₹100
B
₹210
C
₹200
D
₹220
Question 45Single Answer
The amount on ₹2000 at 5% simple interest for 3 years is:
A
₹2200
B
₹2250
C
₹2350
D
₹2300
Question 46Single Answer
Simple interest is calculated by:
A
PRT/100
B
P + R + T
C
PR/T
D
PT/R
Question 47Single Answer
The compound amount on ₹1000 at 10% p.a. for 2 years is:
A
₹1210
B
₹1200
C
₹1100
D
₹1220
Question 48Single Answer
Compound interest on ₹1000 at 10% for 2 years is:
A
₹200
B
₹210
C
₹220
D
₹240
Question 49Single Answer
Difference between CI and SI on ₹1000 at 10% for 2 years is:
A
₹5
B
₹20
C
₹15
D
₹10
Question 50Single Answer
If principal is ₹5000 and simple interest for 2 years is ₹1000, the annual rate is:
A
10%
B
8%
C
5%
D
12%
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Applied Science, Engineering and Management (Diploma Standard)
Question 51Single Answer
Profit is:
A
₹50
B
₹100
C
₹75
D
₹125
Question 52Single Answer
Loss is:
A
₹60
B
₹80
C
₹90
D
₹100
Question 53Single Answer
Profit percent when CP = ₹400 and SP = ₹500 is:
A
20%
B
30%
C
25%
D
40%
Question 54Single Answer
Loss percent when CP = ₹800 and SP = ₹720 is:
A
5%
B
10%
C
8%
D
12%
Question 55Single Answer
SP is:
A
₹550
B
₹580
C
₹620
D
₹600
Question 56Single Answer
An article sold at 10% loss for ₹450 has CP:
A
₹500
B
₹480
C
₹520
D
₹550
Question 57Single Answer
Marked price = ₹1000, discount = 15%. Selling price is:
A
₹800
B
₹825
C
₹875
D
₹850
Question 58Single Answer
A discount of 20% on ₹750 equals:
A
₹100
B
₹125
C
₹150
D
₹175
Question 59Single Answer
The ratio 24:36 in simplest form is:
A
6:9
B
3:4
C
4:5
D
2:3
Question 60Single Answer
If A:B = 3:5 and A = 21, B =
A
35
B
30
C
28
D
42
Question 61Single Answer
The smaller share is:
A
₹300
B
₹250
C
₹350
D
₹500
Question 62Single Answer
If x:y = 4:7 and y:z = 14:15, then x:y:z =
A
4:7:15
B
8:7:15
C
8:14:15
D
4:14:15
Question 63Single Answer
If 4:x = 12:18, x =
A
4
B
6
C
5
D
8
Question 64Single Answer
Two quantities are directly proportional if their:
A
Product is constant
B
Sum is constant
C
Ratio is constant
D
Difference is constant
Question 65Single Answer
Two quantities are inversely proportional if their:
A
Ratio is constant
B
Product is constant
C
Sum is constant
D
Difference is constant
Question 66Single Answer
If y varies directly as x and y = 12 when x = 3, then y when x = 5 is:
A
15
B
20
C
18
D
25
Question 67Single Answer
If y varies inversely as x and y = 8 when x = 3, then y when x = 6 is:
A
2
B
16
C
6
D
4
Question 68Single Answer
A prime number has exactly:
A
One factor
B
Four factors
C
Three factors
D
Two positive factors
Question 69Single Answer
Which is a prime number?
A
29
B
27
C
21
D
33
Question 70Single Answer
Which is a composite number?
A
2
B
3
C
5
D
9
Question 71Single Answer
The smallest prime number is:
A
2
B
1
C
0
D
3
Question 72Single Answer
The only even prime number is:
A
1
B
2
C
4
D
6
Question 73Single Answer
A number is divisible by 2 if its last digit is:
A
Odd
B
9
C
5
D
Even
Question 74Single Answer
A number is divisible by 3 if:
A
Last digit is 3
B
Last two digits are divisible by 3
C
Sum of digits is divisible by 3
D
First digit is divisible by 3
Question 75Single Answer
Which number is divisible by 4?
A
318
B
426
C
516
D
622
Question 76Single Answer
A number is divisible by 5 if its last digit is:
A
1 or 9
B
2 or 4
C
3 or 6
D
0 or 5
Question 77Single Answer
Which is divisible by 9?
A
729
B
245
C
562
D
724
Question 78Single Answer
A number is divisible by 11 if the difference between sums of alternate digits is:
A
1
B
A multiple of 11
C
5
D
Always 2
Question 79Single Answer
121 is divisible by:
A
7 only
B
9 only
C
11
D
13
Question 80Single Answer
The prime factorization of 60 is:
A
2 × 3 × 10
B
2 × 3² × 5
C
2² × 3 × 5
D
4 × 15
Question 81Single Answer
The prime factorization of 72 is:
A
2² × 3³
B
2³ × 3²
C
2⁴ × 3
D
6 × 12
Question 82Single Answer
HCF of 12 and 18 is:
A
2
B
3
C
9
D
6
Question 83Single Answer
LCM of 12 and 18 is:
A
24
B
36
C
30
D
72
Question 84Single Answer
HCF of 24, 36 and 60 is:
A
4
B
6
C
12
D
18
Question 85Single Answer
LCM of 4, 6 and 8 is:
A
12
B
24
C
16
D
48
Question 86Single Answer
For two positive integers a and b, HCF × LCM equals:
A
a + b
B
a − b
C
ab
D
a/b
Question 87Single Answer
HCF of two co-prime numbers is:
A
0
B
1
C
2
D
Their product
Question 88Single Answer
LCM of two co-prime numbers is:
A
Product of numbers
B
Sum of numbers
C
1
D
Difference of numbers
Question 89Single Answer
According to the division algorithm, a = bq + r where:
A
r > b
B
0 ≤ r < b
C
r = b always
D
r < 0
Question 90Single Answer
When 47 is divided by 6, the remainder is:
A
5
B
3
C
1
D
6
Question 91Single Answer
Using Euclidean algorithm, HCF of 48 and 18 is:
A
2
B
3
C
6
D
12
Question 92Single Answer
log₁₀ 100 =
A
1
B
2
C
3
D
10
Question 93Single Answer
log₁₀ 1000 =
A
2
B
4
C
3
D
10
Question 94Single Answer
log₁₀ 1 =
A
Undefined
B
1
C
10
D
0
Question 95Single Answer
log₁₀ 0.1 =
A
−1
B
0
C
1
D
10
Question 96Single Answer
log(ab) =
A
log a − log b
B
log a/log b
C
log a × log b
D
log a + log b
Question 97Single Answer
log(a/b) =
A
log a + log b
B
log a − log b
C
log a × log b
D
log b − log a always
Question 98Single Answer
log(aⁿ) =
A
n + log a
B
(log
C
log a/n
D
n log a
Question 99Single Answer
If log₁₀2 = 0.3010, log₁₀20 =
A
1.3010
B
0.3010
C
2.3010
D
3.0100
Question 100Single Answer
If log₁₀5 = 0.6990, log₁₀50 =
A
0.6990
B
2.6990
C
1.6990
D
5.6990
Question 101Single Answer
x + x + x =
A
x³
B
2x
C
3x
D
3 + x
Question 102Single Answer
5x − 2x =
A
3x
B
3
C
7x
D
x³
Question 103Single Answer
3x × 4x =
A
7x
B
12x
C
12x²
D
7x²
Question 104Single Answer
12x³ ÷ 3x =
A
4x
B
4x³
C
9x²
D
4x²
Question 105Single Answer
x² − 9 factors as:
A
(x−9)(x+1)
B
(x−3)(x+3)
C
(x−3)²
D
(x+9)(x−1)
Question 106Single Answer
x² + 5x + 6 factors as:
A
(x+2)(x+3)
B
(x+1)(x+6)
C
(x−2)(x−3)
D
(x+5)(x+1)
Question 107Single Answer
x² − 5x + 6 factors as:
A
(x+2)(x+3)
B
(x−2)(x−3)
C
(x−1)(x−6)
D
(x+1)(x−6)
Question 108Single Answer
a² − b² =
A
(a−
B
²
Question 109Single Answer
(a+b)² =
A
a²+b²
B
2a+2b
C
a²−2ab+b²
D
a²+2ab+b²
Question 110Single Answer
(a−b)² =
A
a²+b²
B
a²−2ab+b²
C
a²+2ab+b²
D
a²−b²
Question 111Single Answer
If P(x)=x²−4, then P(2)=
A
0
B
−4
C
2
D
4
Question 112Single Answer
By the Remainder Theorem, remainder when P(x) is divided by x−a is:
A
P(0)
D
P(
Question 113Single Answer
Remainder when x²+3x+2 is divided by x+1 is:
A
−1
B
2
C
1
D
0
Question 114Single Answer
Remainder when x²+1 is divided by x−2 is:
A
3
B
4
C
6
D
5
Question 115Single Answer
If P(
A
=0, then:
Question 116Single Answer
Degree of 5x³−2x+7 is:
A
1
B
3
C
2
D
5
Question 117Single Answer
Degree of a non-zero constant polynomial is:
A
0
B
1
C
2
D
Undefined always
Question 118Single Answer
A polynomial of degree 2 is called:
A
Quadratic
B
Linear
C
Cubic
D
Quartic
Question 119Single Answer
A polynomial of degree 3 is called:
A
Linear
B
Quadratic
C
Cubic
D
Biquadratic
Question 120Single Answer
The standard quadratic equation is:
A
ax²+bx+c=0
B
ax+b=0
C
ax³+bx²+c=0
D
a/x+b=0
Question 121Single Answer
The discriminant of ax²+bx+c=0 is:
A
b²−4ac
B
b²+4ac
C
4ac−b
D
b−4ac
Question 122Single Answer
If the discriminant is positive, the quadratic has:
A
One repeated real root only
B
No real roots
C
Two distinct real roots
D
Three real roots
Question 123Single Answer
If the discriminant is zero, the quadratic has:
A
No root
B
Two equal real roots
C
Two distinct roots
D
Three roots
Question 124Single Answer
Solutions of x²−5x+6=0 are:
A
1, 6
B
−2, −3
C
2, 3
D
3, 5
Question 125Single Answer
Solutions of x²−9=0 are:
A
3 only
B
−3 only
C
±3
D
±9
Question 126Single Answer
Solution of x²−4x+4=0 is:
A
x=−2
B
x=2
C
x=4
D
x=0
Question 127Single Answer
Roots of x²−7x+12=0 are:
A
2,6
B
3,4
C
1,12
D
−3,−4
Question 128Single Answer
Sum of roots of ax²+bx+c=0 is:
A
b/a
B
−c/a
C
c/a
D
−b/a
Question 129Single Answer
Product of roots of ax²+bx+c=0 is:
A
c/a
B
b/a
C
−b/a
D
−c/a
Question 130Single Answer
Sum of roots of x²−8x+15=0 is:
A
−15
B
−8
C
15
D
8
Question 131Single Answer
Product of roots of x²−8x+15=0 is:
A
8
B
15
C
−8
D
−15
Question 132Single Answer
The quadratic equation whose roots are 2 and 5 is:
A
x²−7x+10=0
B
x²+7x+10=0
C
x²−10x+7=0
D
x²+10x−7=0
Question 133Single Answer
If roots are α and β, an equation with these roots is:
A
x²−(α+β)x+αβ=0
B
x²+(α+β)x+αβ=0
C
x²−αβx+(α+β)=0
D
x²+αβx−(α+β)=0
Question 134Single Answer
x equals:
A
4
B
6
C
5
D
8
Question 135Single Answer
For x+y=10 and x−y=2, y equals:
A
4
B
2
C
6
D
8
Question 136Single Answer
x equals:
A
2
B
5
C
4
D
3
Question 137Single Answer
For 2x+y=7 and x−y=2, y equals:
A
3
B
2
C
1
D
4
Question 138Single Answer
Graphically, the solution of two linear equations is the:
A
Point of intersection
B
Midpoint of either line
C
Origin always
D
x-intercept only
Question 139Single Answer
Two parallel distinct lines represent:
A
No solution
B
Two solutions
C
One solution
D
Infinite solutions
Question 140Single Answer
Coincident lines represent:
A
No solution
B
Infinite solutions
C
One solution
D
Two solutions
Question 141Single Answer
If two lines intersect, simultaneous equations have:
A
One unique solution
B
No solution
C
Infinite solutions
D
Three solutions
Question 142Single Answer
The inequality x>3 represents numbers:
A
Greater than 3
B
Less than 3
C
Equal to 3 only
D
Less than or equal to 3
Question 143Single Answer
x≤5 means:
A
x is negative only
B
x is greater than 5
C
x equals 5 only
D
x is less than or equal to 5
Question 144Single Answer
On a number line, x≥2 is represented to the:
A
Left of 2 only
B
Right of 2 including 2
C
Right excluding 2
D
Left including 2
Question 145Single Answer
The solution region of a linear inequality in two variables is generally a:
A
Half-plane
B
Point
C
Circle only
D
Line segment only
Question 146Single Answer
If x+y≤4, which point satisfies it?
A
(3,3)
B
(4,2)
C
(2,1)
D
(5,1)
Question 147Single Answer
If x−y≥0, then:
A
x≥y
B
x≤y
C
x=y only
D
x<0
Question 148Single Answer
The equation is:
A
x²−x−12=0
B
x²−12x+1=0
C
x²+x+12=0
D
x²+x−12=0
Question 149Single Answer
If two numbers have sum 10 and difference 4, the numbers are:
A
6 and 4
B
7 and 3
C
8 and 2
D
9 and 1
Question 150Single Answer
A rectangle has length 3 m more than breadth and area 40 m². If breadth is x, then: