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Key and Solutions
1. 2x + 4x + 7x + 5x = 360°
18x = 360° x = 20°
.•. Smallest angle of the triangle = 2 x 20° = 40°
Second angle = 2 x 40° = 80°
So, The second largest angle of the triangle = 180° — 80° — 40° = 60°
Ans: 2
Percentage of minimum marks obtained (93) in Science = (93/125)x100% = 74.4%
Clearly, two students B and C passed in the examination.
Ans: 3
3. C [By observation of table]
Ans: 4
4. Marks obtained by all the students together in Hindi = 34 + 34 + 33 + 35 + 36 + 37 = 209
.•. Required average = 209/6 = 34.83
Ans: 5
5. Total marks obtained by F = 388.5
Sum of maximum marks =150 + 75 + 125 + 50 + 100 + 25 = 525
.•. Required percent (388.5/525) x100% = 74%
Ans: 1
6. Marks obtained by B in Maths =150 x (64/100) = 96
Marks obtained by B in Social Studies = 63
So, Required total = 96 + 63 = 159
Ans : 2
7. Speed of car = Distance / Time
= 540/9 = 60 kmph
Speed of train = 2 x 60 = 120 kmph
So, Speed of bike = (2/3) x 120 = 80 kmph
.•. Distance covered by bike in 5 hours = 5 x 80 = 400 km
Ans: 3
8. The pattern of the number series is :
3 x 1 + 2 = 5
5 x 2+ 3=13
13 x 3 +4= 43
43 x 4 + 5 = 177 (not 176)
177 x 5 + 6= 891
Ans: 4
9. The pattern of the number series is :
6 +12 = 6+ 1= 7
7 + 32 = 7 + 9=16
16 + 52 = 16 + 25 = 41
41 + 72 = 41 + 49 = 90
90 + 92 = 90 + 81 = 171 (not 154)
171 + 112 = 171 + 121 = 292
Ans: 5
10. The pattern of the number series is :
5 x 1 + 12 = 6 (not 7)
6 x 2+ 22=16
16 x 3 + 32 = 57
57 x 4 +42=228 +16= 244
244 x5 + 52= 1220 + 25 = 1245
Ans : 1
11. Required percentage (50/300) x100% = 17%
Ans: 5
12. From statement I, no equivalence relation among a woman, a boy and a man can be established. From statement II, M1D2 = M2D2
=> 6 x 16 = 5 x D2
D2 = (6 x 16) / 5 = 96/5
= 19 1/5 days
.•. Statement II alone is sufficient to answer the question.
Ans: 2
13. From statement I, Pravin's present age = 2x years
Shekhar's present age = 3x years
From statements I and II, 3x = 2x + 6
+> x = 6
Pravin's age after 4 years = 2x + 4
= 2 x 6 + 4 = 16 years
Ans: 5
14. From both the statements answer can't be determined.
Radius = Length of rectangle
Breadth of rectangle = 22 cm
We get no information about the length of rectangle.
Ans:4
15. πr2= 32378.5
r2 = (32378.5x7) / 22
So, r = √ (32378.5x7) / 22
.•. Circumference of the circle = 2πr = 2 x (22/7) x 101.5
= 638 metre
.•. Expenditure on fencing = Rs. (154 x 638) = Rs. 98,252
Ans: 4
16. Principal = (S.I.x100) / (Time x Rate)
= (1200x 10) x (4 x 8) = Rs. 3750
New principal = 3x3750 = Rs. 11250
So, S.I = (Principal x Time x Rate) / 100
=> (11250 x 3 x 6) / 100 = Rs. 2025
Shortcut method :
32% --> 1200
54% --> ?
=> (54 x 1200) / 32 = 2025
Ans : 1
Ans: 4
4. Marks obtained by all the students together in Hindi = 34 + 34 + 33 + 35 + 36 + 37 = 209
.•. Required average = 209/6 = 34.83
Ans: 5
5. Total marks obtained by F = 388.5
Sum of maximum marks =150 + 75 + 125 + 50 + 100 + 25 = 525
.•. Required percent (388.5/525) x100% = 74%
Ans: 1
6. Marks obtained by B in Maths =150 x (64/100) = 96
Marks obtained by B in Social Studies = 63
So, Required total = 96 + 63 = 159
Ans : 2
7. Speed of car = Distance / Time
= 540/9 = 60 kmph
Speed of train = 2 x 60 = 120 kmph
So, Speed of bike = (2/3) x 120 = 80 kmph
.•. Distance covered by bike in 5 hours = 5 x 80 = 400 km
Ans: 3
8. The pattern of the number series is :
3 x 1 + 2 = 5
5 x 2+ 3=13
13 x 3 +4= 43
43 x 4 + 5 = 177 (not 176)
177 x 5 + 6= 891
Ans: 4
9. The pattern of the number series is :
6 +12 = 6+ 1= 7
7 + 32 = 7 + 9=16
16 + 52 = 16 + 25 = 41
41 + 72 = 41 + 49 = 90
90 + 92 = 90 + 81 = 171 (not 154)
171 + 112 = 171 + 121 = 292
Ans: 5
10. The pattern of the number series is :
5 x 1 + 12 = 6 (not 7)
6 x 2+ 22=16
16 x 3 + 32 = 57
57 x 4 +42=228 +16= 244
244 x5 + 52= 1220 + 25 = 1245
Ans : 1
11. Required percentage (50/300) x100% = 17%
Ans: 5
12. From statement I, no equivalence relation among a woman, a boy and a man can be established. From statement II, M1D2 = M2D2
=> 6 x 16 = 5 x D2
D2 = (6 x 16) / 5 = 96/5
= 19 1/5 days
.•. Statement II alone is sufficient to answer the question.
Ans: 2
13. From statement I, Pravin's present age = 2x years
Shekhar's present age = 3x years
From statements I and II, 3x = 2x + 6
+> x = 6
Pravin's age after 4 years = 2x + 4
= 2 x 6 + 4 = 16 years
Ans: 5
14. From both the statements answer can't be determined.
Radius = Length of rectangle
Breadth of rectangle = 22 cm
We get no information about the length of rectangle.
Ans:4
15. πr2= 32378.5
r2 = (32378.5x7) / 22
So, r = √ (32378.5x7) / 22
.•. Circumference of the circle = 2πr = 2 x (22/7) x 101.5
= 638 metre
.•. Expenditure on fencing = Rs. (154 x 638) = Rs. 98,252
Ans: 4
16. Principal = (S.I.x100) / (Time x Rate)
= (1200x 10) x (4 x 8) = Rs. 3750
New principal = 3x3750 = Rs. 11250
So, S.I = (Principal x Time x Rate) / 100
=> (11250 x 3 x 6) / 100 = Rs. 2025
Shortcut method :
32% --> 1200
54% --> ?
=> (54 x 1200) / 32 = 2025
Ans : 1
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