Mock Practice Test
1. The distance between the top of two trees of height 30 m and 38 m is 17 m. Then what is the horizontal distance between the two trees?
GATE (Graduate Aptitude Test in Engineering) Exam 2015
1. The distance between the top of two trees of height 30 m and 38 m is 17 m. Then what is the horizontal distance between the two trees?
a. 8
b. 12
c. 14
d. 15
2. The orthocenter of the triangle is the point of intersection of
a. Altitudes b. Median
c. Perpendicular bisectors
d. Angle bisectors
3. If (a-2)2+(b-3)2+(c-7)2=0, then what is the value of abc + 12?
a. 42
b. 52
c. 54
d. 24
4. The average weight of all the students in a class is 40 kg. The average weight of boys is 47 kg and that of girls is 32 kg. If the number of girls in the class is 28, then what is the total number of students in the class?
a. 28
b. 32
c. 42
d. 60
5. In a zoo there are only rabbits and pigeons. If heads are counted there are 200 but if legs are counted there are 620. How many rabbits and pigeons are there in the zoo?
a. 90, 110
b. 110, 90
c. 80, 120
d. 120, 80
6. x + y + z =1, x2+y2+z2 =9, x3+y3+z3 =9, then, what is the value of 1/x+1/y+1/z ?
a. 1
b. 2
c. 3
d. 4
7. A jar contains red and blue marbles only. If there are 24 marbles in the jar, then which of the following cannot be ratio of red to blue
marbles?
a. 2:1
b. 3:5 c. 5:7 d. 3:11
8. Which one of the following numbers will completely divide
711+712+713+714 ?
a. 100
b.101
c.102
d. 103
9. Study the following arrangement of letter, digit and symbols to answer the question given below.
Z Y 4 X W 6 A B $ K 7 N ϕ P H 9 β 3 M G ₳
If each symbol of the above sequence is replaced with a letter and each digit is replaced with new symbol, then how many letters will be there in the sequence?
a. 4
b. 16
c. 12
d. 17
e. None of these
10. In a certain code language, if the word “RETAIN” is coded as “TGVCKP” then “MANUAL” is coded as?
a. OCPWBN
b. OCPWCN
c. OCMWCN
d. OCNWCN
e. OCPVCN
11. In the following question, there are given three statements followed by three conclusions numbered I, II, and III. You have to take the given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions
carefully and then decide which of the given conclusions logically
follows from the given statements, disregarding commonly known facts.
Statements:
Some trees are bulbs.
No bulb is soap.
All soaps are books.
Conclusions:
I. Some books are bulbs.
II. No book is bulb
III. Some trees are soaps.
a. None follows
b. Only either I or II follows
c. Only II follows
d. Only I and III follow
Directions for questions 12 to 13: Study the following information carefully and answer the questions given below:
A, B, C, D, E, F, and G are driving different cars. They are driving i10, santro, alto, wagonR, swift, dzire and brio cars. There are 3 female drivers and rest are male drivers. No female driver is driving i10, dzire or brio. D’s sister F is driving swift, while he is driving brio. A is driving santro while his sister B is not driving wagonR. E is driving dzire, while his best friend G is a male.
12. Which car is B driving?
a. wagonR
b. swift
c. brio
d. none of these
13. Which car is E driving?
a. i10
b. santro
c. dzire
d. i10 or wagonR