UKCAT Mock Test 8 - Online MCQ Exam

If a necklace is bought for $x and sold for $y then the profit is:

1 Mark(s)

Your Answer:

$xy $xy
$y - $x $y - $x
$y + $x $y + $x
$x - $y $x - $y

If VICTORY is coded as WJDUPSZ using +1 shift, what is DEFEAT coded as?

1 Mark(s)

Your Answer:

DEFEAT DEFEAT
EFGFBU EFGFBU
EFGFBU EFGFBU
WJDUPSZ WJDUPSZ

The sum of \$17$ and \$23$ is:

1 Mark(s)

Your Answer:

38 38
39 39
40 40
41 41

The 30 th term of AP 10, 7, 4, … is:

1 Mark(s)

Your Answer:

A) – 87 A) – 87
B) 87 B) 87
C) 77 C) 77
D) – 77 D) – 77

Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer : Statement : Like a mad man, I decided to follow him. Assumptions : I. I am not a mad man. II. I am a mad man.

1 Mark(s)

Your Answer:

Only assumption I is implicit Only assumption I is implicit
Only assumption II is implicit Only assumption II is implicit
Either I or II is implicit Either I or II is implicit
Neither I nor II is implicit Neither I nor II is implicit
Both I and II are implicit Both I and II are implicit

Code: A * B means A > B, A @ B means A < B, A # B means A ≥ B, A $ B means A ≤ B, A % B means A = B, A & B means A ≠ B. Statements: M # N, N * O, O # P, P * Q, Q # R, R * S, S # T. Conclusions: I. M * T II. N * T III. O * T IV. P * T

1 Mark(s)

Your Answer:

Only I and II Only I and II
Only I, II and III Only I, II and III
Only I, II and IV Only I, II and IV
All four All four

Statements: The government has decided to give tax benefits for small savings for investments and benefit accruals. However, all withdrawals of such savings are to be taxed. People have been investing more in small savings than in equity market to avail maximum tax benefits.

1 Mark(s)

Your Answer:

Statement I is the cause and statement II is its effect.
Statement II is the cause and statement I is its effect.
Both the statements I and II are independent causes.
Both the statements I and II are effects of independent causes.
Both the statements I and II are effects of some common cause.

Which is the odd choice

1 Mark(s)

Your Answer:

Isotope Isotope
Ion Ion
Isomer Isomer
Allotrope Allotrope

Statements : Some boxes are hammers. Some hammers are beads. All beads are rings. Conclusions : I. Some rings are hammers. II. Some hammers are boxes. III. Some rings are boxes.

1 Mark(s)

Your Answer:

None follows None follows
Only I follows Only I follows
Only I and II follow Only I and II follow
Only II and III follow Only II and III follow
All follow All follow

Statements: A > B ≥ C, D ≤ C, E > D, F ≤ E. Conclusions: I. A > F II. B > F III. A > E. Which is definitely true?

1 Mark(s)

Your Answer:

Only I Only I
Only II Only II
Only III Only III
None None

If first and last letters stay same, middle letters +2, what is WORLD coded as?

1 Mark(s)

Your Answer:

WORLD WORLD
WQTND WQTND
WOTND WOTND
WORLD WORLD

Find next: AC, FH, KM, PR, ?

1 Mark(s)

Your Answer:

TV TV
UW UW
VX VX
UX UX

The range of sin -1 x + cos -1 x + tan -1 x is

1 Mark(s)

Your Answer:

A) [0, π] A) [0, π]
B) $\left[\frac{\pi}{4}, \frac{3 \pi}{4}\right]$
C) (0, π) C) (0, π)
D) $\left[0, \frac{\pi}{2}\right]$ (\left[\frac{\pi}{4}, \frac{3 \pi}{4}\right]\)

Statements: The serious accident in which a person was run down by a car yesterday had again focused attention on the most unsatisfactory state of roads. Conclusions: The accident that occurred was fatal. Several accidents have so far taken place because of unsatisfactory state of roads.

1 Mark(s)

Your Answer:

Only conclusion I follows Only conclusion I follows
Only conclusion II follows Only conclusion II follows
Either I or II follows Either I or II follows
Neither I nor II follows Neither I nor II follows
Both I and II follow Both I and II follow

In a kilometer race, A beats B by 50 meters or 10 seconds. What time does A take to complete the race?

1 Mark(s)

Your Answer:

200 sec 200 sec
190 sec 190 sec
210 sec 210 sec
150 sec 150 sec

Find the roots of quadratic equation: x² + x – 42 = 0?

1 Mark(s)

Your Answer:

-6, 7 -6, 7
-8, 7 -8, 7
14, -3 14, -3
-7, 6 -7, 6

WHISPER : SHOUT :: TRICKLE : ?

1 Mark(s)

Your Answer:

Water Water
Gush Gush
Drop Drop
Flow Flow

Mother is 26 years older than son. If mother is 48 years old, what is son's age?

1 Mark(s)

Your Answer:

18 years 18 years
20 years 20 years
22 years 22 years
24 years 24 years

The sequence 1, 7.19, 37,… is called as

1 Mark(s)

Your Answer:

A) Squares A) Squares
B) Triangular Numbers B) Triangular Numbers
C) Cubes C) Cubes
D) Hexagonal Numbers D) Hexagonal Numbers

If BASKETBALL is coded as CBTLFUCBMM using +1 shift, what is VOLLEYBALL coded as?

1 Mark(s)

Your Answer:

WPMMFZCBMM WPMMFZCBMM
VOLLEYBALL VOLLEYBALL
VPMMFZCBMM VPMMFZCBMM
CBTLFUCBMM CBTLFUCBMM

Which statement is incorrect if X and Y are the two non-empty relations on the set S.

1 Mark(s)

Your Answer:

If X and Y are transitive, then the intersection of X and Y is also transitive.
If X and Y are reflexive, then the intersection of X and Y is also reflexive.
If X and Y are symmetric, then the union of X and Y is not symmetric.
If X and Y are transitive, then the union of X and Y is not transitive.

589654237, 89654237, 8965423, 965423, ?

1 Mark(s)

Your Answer:

58965 58965
65423 65423
89654 89654
96542 96542

A mixture contains alcohol and water in ratio \$7:5$. If \$9$ liters of water is added, the ratio becomes \$7:8$. Find the original quantity of alcohol.

1 Mark(s)

Your Answer:

18 liters 18 liters
21 liters 21 liters
24 liters 24 liters
27 liters 27 liters

Which day comes after Saturday?

1 Mark(s)

Your Answer:

Friday Friday
Monday Monday
Sunday Sunday
Tuesday Tuesday

A man rides his bicycle 10 km at an average speed of 12 km/hr and again travels 12 km at an average speed of 10 km/hr. What is his average speed for the entire trip approximately?

1 Mark(s)

Your Answer:

11.2 kmph 11.2 kmph
10 kmph 10 kmph
10.2 kmph 10.2 kmph
10.8 kmph 10.8 kmph

Directions : Each of the following question consists of a statement followed by two arguments I and II. You have to decide which of the arguments is a STRONG arguments and which is a WEAK Argument. Statement : Should children be legally made responsible to take care of their parents during their old age? Arguments : I. Yes. Such matter can only be solved by legal means. II. Yes. Only this will bring some relief to poor parents.

1 Mark(s)

Your Answer:

Only argument I is strong Only argument I is strong
Only argument II is strong Only argument II is strong
Either I or II is strong Either I or II is strong
Neither I nor II is strong Neither I nor II is strong
Both I and II are strong Both I and II are strong

A sum quadruples in 2 years at CI. In how many years will it become 16 times?

1 Mark(s)

Your Answer:

4 years 4 years
5 years 5 years
6 years 6 years
8 years 8 years

1170 is not divisible by:

1 Mark(s)

Your Answer:

A) 10 A) 10
B) 9 B) 9
C) 5 C) 5
D) 4 D) 4

What is the probability of getting 1 and 5 if a dice is thrown once?

1 Mark(s)

Your Answer:

1/6 1/6
1/3 1/3
2/3 2/3
8/9 8/9

What is $\frac{21}{28} - \frac{16}{28}$?

1 Mark(s)

Your Answer:

$\frac{4}{28}$ $\frac{4}{28}$
$\frac{5}{28}$ $\frac{5}{28}$
$\frac{6}{28}$ $\frac{6}{28}$
$\frac{1}{6}$ $\frac{1}{6}$

What is \$74\%$ of \$200$?

1 Mark(s)

Your Answer:

142 142
148 148
154 154
160 160

Least perfect square number, exactly divisible by 21, 36 and 56 is_________?

1 Mark(s)

Your Answer:

3600 3600
504 504
441 441
7056 7056

A² + b² + c² + 2ab + 2bc + 2ca is equal to:

1 Mark(s)

Your Answer:

(a + b - c)² (a + b - c)²
(a + b + c)² (a + b + c)²
2abc (a + b + c)² 2abc (a + b + c)²
(a - b + c)² (a - b + c)²

One term in the number series is wrong. Find out the wrong term. 2, 6, 24, 96, 285, 568, 567

1 Mark(s)

Your Answer:

6 6
24 24
285 285
567 567

Sum of ages of two persons is 70 years. One is 40 years old. What is the other's age?

1 Mark(s)

Your Answer:

25 years 25 years
35 years 35 years
30 years 30 years
28 years 28 years

If a clock takes seven seconds to strike seven, how long will it take to strike ten ?

1 Mark(s)

Your Answer:

7 seconds 7 seconds
9 seconds 9 seconds
10 seconds 10 seconds
None of these None of these

In the algebraic fractions, the numerators and denominators are:

1 Mark(s)

Your Answer:

polynomials polynomials
odd numbers odd numbers
even numbers even numbers
surds surds

Product of –$\frac{2}{11}$ and –$\frac{11}{8}$ is:

1 Mark(s)

Your Answer:

A) –$\frac{1}{4}$ A) –$\frac{1}{4}$
B) $\frac{1}{8}$ B) $\frac{1}{8}$
C) $\frac{1}{4}$ C) $\frac{1}{4}$
D) none of these (\frac{1}{4}\) D) none of these (\frac{1}{4}\)

Following figures are formed by joining six unit squares. Which figure has smallest perimeter? (NCERT Exemplar)

1 Mark(s)

Your Answer:

A) (ii) A) (ii)
B) (iii) B) (iii)
C) (iv) C) (iv)
D) (i) (i) D) (i) (i)

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is_________?

1 Mark(s)

Your Answer:

28 28
32 32
40 40
64 64

Excluding stoppages, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?

1 Mark(s)

Your Answer:

12 12
11 11
10 10
9 9

In the questions given below, there are two statements marked as Assertion (A) and Reason (R). Read the statements and choose the correct option.

1 Mark(s)

Your Answer:

A) Both (A) and (R) are true and R is the correct explanation of (A).
B) Both (A) and (R) true but (R) is not the correct explanation of (A).
C) (A) is true but (R) is false. C) (A) is true but (R) is false.
D) (A) is false but (R) is true. 1. Assertion (A): AB=6 cm, BC=8 cm and AC =14 cm can be the sides of a Δ. Reason (R) : AB+AC>BC. (A) is false but (R) is true. 2. Assertion (A) : A ΔABC with ∠A=70° and ∠B=120° can not be constructed. Reason (R) : For a Δ ABC, ∠ A+∠ B+∠ C= 180° (A) and (R) are true and R is the correct explanation of (A). 3. Assertion (A) : In the following figure ∠PRS is called an exterior angle. Reason (R) : An exterior angle is formed if any side of a Δ is extended. (A) and (R) are true and R is the correct explanation of (A). A Tale of Three Intersecting Lines Class 7 Fill in the blanks 1. In the given figure, (i) ∠B = ___ (ii) ∠C = ___ Answer: (i) ∠B = 55° (ii) ∠C = 55° 2. In the given figure, (i) ∠PQR = ___ (ii) ∠PRS = ___ (iii) ∠PRQ = ___ Answer: (i) ∠PQR = 80° (ii) ∠PRS = 130° (iii) ∠PRQ = 50° 3. The length of the third side of a triangle whose two sides are 5 cm and 6 cm must be less than (i) ___ and greater than (ii) ___ Answer: (i) 11 cm (ii) 1 cm 4. A triangle can have atmost _____ obtuse angle. Answer: One 5. Altitude is also called _____ of a triangle. Answer: height 6. A triangle with one angle equal to 90° is called a _____ triangle. Answer: height angled 7. In an isosceles triangle, _____ sides are equal. Answer: 2 8. The sum of the interior angles of a triangle is always _____ degrees. Answer: 180 A Tale of Three Intersecting Lines Class 7 True or False 1. An equilateral triangle can be a right triangle. Answer: False 2. The sum of the two sides of a triangle is greater than or equal to the third side. Answer: False 3. A triangle can have all three angles with measures less than 60°. Answer: False 4. The altitude of a triangle always lies outside the triangle. Answer: False 5. A triangle can have two obtuse and one acute angle. Answer: False 6. Sum of the measures of three angles of a triangle is greater than 180°. Answer: False 7. It is possible to have a triangle in which each angle is less than 60°. Answer: False 8. It is possible to have a right angled equilateral triangle. Answer: False 9. The difference between the length of any two sides of a triangle is smaller than the length of third side. Answer: True 10. In the following figure, the value of x is equal to 12 cm. Answer: False A Tale of Three Intersecting Lines Class 7 Match the Following

If SPIDER is written as PSDIRE in a certain code, how would COMMON be written in that code?

1 Mark(s)

Your Answer:

OCOMMO OCOMMO
OCMMNO OCMMNO
OCMOMN OCMOMN
OCMMON OCMMON

Directions : In each of the following questions a statement is given, followed by two conclusions. Give answer : Statements : Modern man influences his destiny by the choice he makes unlike in the past. Conclusions : I. Earlier there were fewer options available to man. II. There was no desire in the past to influence the destiny.

1 Mark(s)

Your Answer:

Only conclusion I follows Only conclusion I follows
Only conclusion II follows Only conclusion II follows
Either I or II follows Either I or II follows
Neither I nor II follows Neither I nor II follows
Both I and II follow Both I and II follow

If the value of tan2 θ + tan4 θ = 1, what will be the value of cos2 θ + cos4 θ?

1 Mark(s)

Your Answer:

4 4
1 1
-2 -2
-1 -1

If the sum of two matrices A and B is zero matrix, then A and B are said to be:

1 Mark(s)

Your Answer:

multiplicative inverse of each other multiplicative inverse of each other
additive inverse of each other additive inverse of each other
transpose of each other transpose of each other
determinant of each other determinant of each other

The parity of number 5053 is

1 Mark(s)

Your Answer:

A) odd A) odd
B) even B) even
C) sometimes odd, sometimes even C) sometimes odd, sometimes even
D) None of the above D) None of the above

Which of the following is the unit digit in the product of {(341)491 x (625)317 x (6374)1793}?

1 Mark(s)

Your Answer:

3 3
7 7
0 0
8 8

If $a^2 + b^2 + c^2 = 2(a-b-c) - 3$, find $a + b + c$

1 Mark(s)

Your Answer:

$-2$ $-2$
$-1$ $-1$
\$0$ \$0$
\$1$ \$1$

Find the LCM of \$15$ and \$20$

1 Mark(s)

Your Answer:

30 30
45 45
60 60
75 75

A car can travel 360km with a ¾ full tank. How many km can it travel with a 2/3 full tank?

1 Mark(s)

Your Answer:

400 400
320 320
240 240
300 300

If MARKET is coded as NBSLFU, what is BASKET coded as?

1 Mark(s)

Your Answer:

BASKET BASKET
CBTLFU CBTLFU
CBTLFU CBTLFU
NBSLFU NBSLFU

Circumference of the circle is calculated by:

1 Mark(s)

Your Answer:

2πr 2πr
2π ⁄ r 2π ⁄ r
πr ⁄ 2 πr ⁄ 2
πr πr

In the number line pattern, if you are moving from 5 to 15 and then from 15 to 25, what will be the number after moving from 25 with the same pattern?

1 Mark(s)

Your Answer:

A) 30 A) 30
B) 35 B) 35
C) 40 C) 40
D) 45 D) 45

Statements : No tree is fruit. All fruits are stones. All stones are rains. Conclusions : I. No stone is tree. II. No rain is tree. III. Some rains are fruits. IV. Some rains are trees.

1 Mark(s)

Your Answer:

Only either II or III, and I follow Only either II or III, and I follow
None follows None follows
Only either II or IV, and III follow Only either II or IV, and III follow
All follow All follow
None of these None of these

The ratio of ages of A, B and C is 5:6:7. 10 years ago, the sum of their ages was 72. Find A's present age.

1 Mark(s)

Your Answer:

26 years 26 years
30 years 30 years
28 years 28 years
32 years 32 years

If p(x) = 3x – 7, then p(x) + p(-x) is:

1 Mark(s)

Your Answer:

A) 7 A) 7
B) 6x B) 6x
C) 0 C) 0
D) -14 D) -14

Choose the correct order of the given alternative : _ nmmn _ mmnn _ mnnm _

1 Mark(s)

Your Answer:

nmmn nmmn
mnnm mnnm
nnmm nnmm
nmnm nmnm

CIRCLE : ROUND :: SQUARE : ?

1 Mark(s)

Your Answer:

Box Box
Four-sided Four-sided
Corner Corner
Flat Flat

LIGHT : DARK :: HOT : ?

1 Mark(s)

Your Answer:

Warm Warm
Cold Cold
Fire Fire
Heat Heat

By solving the equation a⁄6 - 4 = 8, the value of 'a' will be:

1 Mark(s)

Your Answer:

64 64
56 56
54 54
72 72

If today is Tuesday, what day will it be after 14 days?

1 Mark(s)

Your Answer:

Monday Monday
Wednesday Wednesday
Tuesday Tuesday
Thursday Thursday

Complete the series: 5, 12, 26, 54, 110, ?

1 Mark(s)

Your Answer:

200 200
220 220
222 222
226 226

Statements : All flowers are toys. Some toys are trees. Some angels are trees. Conclusions : I. Some angels are toys. II. Some trees are flowers. III. Some flowers are angels.

1 Mark(s)

Your Answer:

None follows None follows
Only I follows Only I follows
Only II follows Only II follows
Only III follows Only III follows
Only I and III follow Only I and III follow

What is $30^2$?

1 Mark(s)

Your Answer:

850 850
900 900
950 950
1000 1000

By solving the inequality 4.5a < 18, the answer will be:

1 Mark(s)

Your Answer:

a < 8 a < 8
a < 10 a < 10
a < 4 a < 4
a < 11 a < 11

In the adjacent figure, what is the relation between AB and CD?

1 Mark(s)

Your Answer:

A) AB > CD A) AB > CD
B) AB B) AB
C) AB = CD C) AB = CD
D) AB = 2CD D) AB = 2CD

Area of an equilateral triangle of side a is

1 Mark(s)

Your Answer:

A) $\frac{\sqrt{3} a^2}{4}$ A) $\frac{\sqrt{3} a^2}{4}$
B) $\frac{a \sqrt{3}}{2}$ B) $\frac{a \sqrt{3}}{2}$
C) √3a 2 C) √3a 2
D) a√3 (\frac{\sqrt{3} a^2}{4}\) D) a√3 (\frac{\sqrt{3} a^2}{4}\)

Directions : Each of the following question consists of a statement followed by two arguments I and II. You have to decide which of the arguments is a STRONG arguments and which is a WEAK Argument. Statement : Should fashionable dresses be banned? Arguments : I. Yes. Fashions keep changing and hence consumption of cloth increases. II. No. Fashionable clothes are a person's self expression and therefore his/her fundamental right.

1 Mark(s)

Your Answer:

Only argument I is strong Only argument I is strong
Only argument II is strong Only argument II is strong
Either I or II is strong Either I or II is strong
Neither I nor II is strong Neither I nor II is strong
Both I and II are strong Both I and II are strong

Statement: Be humble even after being victorious. Assumptions: Many people are humble after being victorious. Generally people are not humble.

1 Mark(s)

Your Answer:

Only assumption I is implicit Only assumption I is implicit
Only assumption II is implicit Only assumption II is implicit
Either I or II is implicit Either I or II is implicit
Neither I nor II is implicit Neither I nor II is implicit
Both I and II are implicit Both I and II are implicit

A surd which has rational factor other than unity and the other factors being irrational is said to be:

1 Mark(s)

Your Answer:

mixed surd mixed surd
pure surd pure surd
similar surd similar surd
unlike surd unlike surd

The list price of an article is Rs.65. A customer pays Rs.56.16 for it. He was given two successive discounts, one of them being 10%. The other discount is________?

1 Mark(s)

Your Answer:

3% 3%
4% 4%
5% 5%
6% 6%

Statement: It will be a substantial achievement in the field of education if one provides one school for every village in our country and enforce attendance. Assumptions: Children in villages do not attend school regularly. Providing school to every village is desirable.

1 Mark(s)

Your Answer:

Only assumption I is implicit Only assumption I is implicit
Only assumption II is implicit Only assumption II is implicit
Either I or II is implicit Either I or II is implicit
Neither I nor II is implicit Neither I nor II is implicit
Both I and II are implicit Both I and II are implicit

Angles between 180° and 270° lies in:

1 Mark(s)

Your Answer:

1st quadrant 1st quadrant
2nd quadrant 2nd quadrant
3rd quadrant 3rd quadrant
4th quadrant 4th quadrant

Evaluating Your Answers

UKCAT Mock Test 8 : Question 1 of 74