8/6/2019 Sdmit Aptitude Test-1

1/4

SDM INSTITUTE OF TECHNOLOGYAPTITUDE TEST-1

INSTRUCTIONS: There are 30 aptitude questions. Each question carries 1 mark. Time limit : 25 minutes No negative marks.

1. Find the smallest number in a GP whose sum is 38 and product 1728(a) 12 (b) 20 (c)8 (d) none of these

ans=c

2. A goat is tied to one corner of a square plot of side 12m by a rope 7m

long. Find the area it can graze?(a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25 sq.m

ans=a

3. The average age of 10 members of a committee is the same as it was 4 yearsago, because an old member has been replaced by a young member. Find how muchyounger is the new member?a. 36 b. 40 c. 42 d. 45

ans=b

5. Minimum number that should be added to 23087 to make it completely divisible by 8 is:a. 1 b. 2 c. 3 d. 4

ans=a

6. A number when divided by 5 leaves the remainder 3. What is the remainder when theSquare of the same number is divided by 5?(a) 9 (b) 3 (c) 0 (d) 4

ans=d

7. The sum of all numbers between 800 and 1100 which are divisible by 79 is(a) 2846 (b) 2844 (c) 3844 (d) 3584

ans=b

8. The price of 349 coconuts is Rs 2094. What will be the price of 26 dozens of coconuts?(a) Rs 1662 (b) Rs 1562 (c) Rs 2062 (d) Rs 1872

ans=d

8/6/2019 Sdmit Aptitude Test-1

2/4

8/6/2019 Sdmit Aptitude Test-1

3/4

ans=c

18. In a class, 29 students play cricket, 26 play hockey, 21 play football, 12 play both football andcricket, 14 play both hockey and football, 15 play both cricket and hockey. Further 8 students play all thethree and 2 do not play at all. The total no of students in the class is-a. 70 b. 55 c. 47 d. 45

ans=d

19. If two roots of the cubic equation x3 -3x+2=0 are equal, then its third root is-a. 2 b. 1 c. -1 d. -2

ans=d

20. If a salesman gives a discount of 20% on the listed price of a T.V. He makes a profit of 20%. If adiscount of 10% is given on the listed price, then his profit would be-a. 10% b. 25% c. 35% d. 40%

ans=c

21. In a rectangular box, length of the box is three times its height and breadth is twice the height. If the volume of the box is 48 cubic cm, then the length (in cm) of its diagonal is-a. (20)1/2 b. (40)1/2 c. (52)1/2 d. (56)1/2

ans=d

22. The sum of real numbers x, y, z which are in a geometric progression, is 70. If the numbers 4x,5y, 4z are in arithmetic progression, then the product xz is-a. 20 b. 40 c. 100 d. 400

ans=d

23. If (2-(3)^(1/2))^y+(2+(3)^(1/2))^y=4 , then the solution set for y is:a. 1,2 b. -1,0 c. -1,1 d. -2,-2

ans=c

24. If n is a natural number, then n(n+1)(2n+1) is always divisible b:

a. 4 b. 5 c. 6 d. 7

ans=c

25. A wire of length 7 meter is divided into three pieces, having lengths L1:L2=5:4 and L2:L3=3:2,then L1=a. 3 meter b. 2.4 meter c. 4 meter d. 1.6 meter

ans=a

26. If (1,-1,0) , (2,1,-1) and (-1,1,2) are vertices of a triangle, then its area is:a. 3 b. 3(2)^1/2 c. 6 d. 6(2)^1/2

8/6/2019 Sdmit Aptitude Test-1

4/4

ans=b

27. Let the average height of a class of 40 students be 156.5 cm. If one student, whose height is 146cm, goes out and a new student joins the class, the average height increases by 0.5 cm. The height (in cm)of the new student is:a. 157 b. 166 c. 170 d. 176

ans=b

28. Given x/y=y/z=2. Then 10% increase in z means:a. 10% increase in xb. 11% increase in xc. 40% increase in x

d. 44% increase in x

ans=a

29. Let x>0. Number of solutions to the in-equation (x)^1/2>x is:a. Zero b. 1 c. 3 d. infinite

ans=a

30. In a college 20% of the female students read science and 35% of students population are female.What per cent of the student population are female science students?a. 7% b. 17% c. 17.5% d. 15%

ans=a