Practice Data sufficiency - verbal reasoning Online Quiz (set-2) For All Competitive Exams
Directions:
In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q-1) How is X related to Z ?
I. M is married to I, X is sister of M, I has only one daughter K, K is the granddaughter of Z.
II. M is the daughter of Z. M is married to I, I is the only child of H. X is the sister-in-law of I
(a)
(b)
(c)
(d)
(e)
Z's daughter MI(Son of H) X => M's sister
Directions:
In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q-2) How many people are standing between R and U in a straight line of 15 people facing North?
I. T stands fifth from the left end of the line. R and O are immediate neighbours of T. Only two people stands between T and U.
II. Q stands third from the right end of the line. Only 6 people stand between O and Q. Only one person stands between R and O. O stands exactly between R and U
(a)
(b)
(c)
(d)
(e)
From II - - - R T O - U - - - - Q - -
Directions:
In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q-3) Find the direction of F with respect to H?
I. E is 5m to the north of G, who is 10m to the west of H.
II. D is 10m to the south of F, who is 8m to the west of E
(a)
(b)
(c)
(d)
(e)
Directions:
In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q-4) How is D related to J ?
I. J is mother of K and wife of C, who is son-in-law of H.
II. K is niece of D and C is brother-in-law of D
(a)
(b)
(c)
(d)
(e)
H ⇒ D J (wife of C) ⇒ K (son/daughter of J)
Directions:
In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.
Q-5) Who among U, V, W, X and Z is shortest ?
I. W is shorter than V and equal to X, Z is not taller than U, V
II. X is taller than Z and equal to W. V and U is not shorter than W
(a)
(b)
(c)
(d)
(e)
U > V > W =X > Z
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-6) Is$x^2 : y^2$ < 1?
(1) (y – x) (x + y) = 40% of 60 – 120% of 20
(2) x < y
(a)
(b)
(c)
(d)
(1) ⇒ (y – x) (x + y) = 24 – 24 = 0
⇒ $y^2 – x^2 = 0 ⇒ y^2 = x^2 ⇒ {x^2}/{y^2}$ = 1
Hence we can be answered the question using statement (1) alone. (2) ⇒ x < y.
This does not always imply that $x^2 < y^2$
(Because for example –3 and 2, –3 < 2 but $3^2 ≮ 2^2$)
∴ If x < y ⇒ either $x^2 < y^2$ or $x^2 > y^2$
∴ We can't be determined the answer.
Hence (2) is not sufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-7) In a certain code language what does 'come' mean ?
(1) 'pit na ja ' means 'come and go' in the code language.
(2) 'na dik sa' means 'you may go 'in the code language.
(a)
(b)
(c)
(d)
Using (1) & (2), we get 'na' means 'go'
∴ either 'pit' or 'ja' means 'come' which cannot be determined.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-8) The area of a square is equal to that of a circle. What is the circumference of the circle?
(1) The diagonal of the square is x inches.
(2) The side of the square is y inches.
(a)
(b)
(c)
(d)
Given: π $r^2 = a^2$
(where r = radius of circle; a = side of square)
⇒ r = $a/√π$
Hence, to find the circumference of circle, one should know 'a' the side of square.
(1) ⇒ Side of square = ${diagonal}/{√2}$
∴ Statement (1) alone is sufficient.
Also, as stated above, statement (2) alone is sufficient.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-9) If $a^6 - b^6$ = 0, then what is the value of $a^3 - b^3$?
(1) a is positive
(2) b is greater than 1
(a)
(b)
(c)
(d)
$a^6 - b^6$ = 0
⇒ $(a^2 + b^3)(a^3 - b^3)$ = 0
(1) and (2) ⇒ $a^3 + b^3$ > 0
Hence $a^3 – b^3$ = 0
∴ Both statements together are necessary to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-10) What percentage of X's salary is Y's salary ?
(1) X's salary is 20% of Z's salary.
(2) Y's salary is 45% of Z's salary.
(a)
(b)
(c)
(d)
(1) ⇒ X's salary = 20% of Z's salary
(2) ⇒ Y's salary = 45% of Z's salary
⇒ ${\text"X's salary"}/{\text"Y's salary"} = {20}/{45} = 4/9$
Hence, both the statements together are sufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-11) If 8A + 9C + 2D + 3I = 106, then what is the value of I?
6A + 4C - 16D - 4E = 48
24C – 13I = 28
(a)
(b)
(c)
(d)
Both statements together are insufficient because the no. of unknown variables is more than the no. of equations.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-12) How is 'A' related to 'B' ?
(1) A is married to Y's sister.
(2) B is the name of Y's sister.
(a)
(b)
(c)
(d)
Here we have not been given the number of sisters of Y in both statements. Hence, we cannot find the answer using both the statements.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-13) X, Y and Z are integers. Is X an odd number?
(1) An odd number is obtained when X is divided by 5.
(2) (X + Y) is an odd number.
(a)
(b)
(c)
(d)
(1) ⇒ It is sufficient to answer the question because any odd number is divided by any odd number, it gives an odd number.
(2) ⇒ Either X or Y is odd ⇒ X may be odd or not.
∴ Statement (2) is not sufficient.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-14) In the figure, is PRSU a square?
(1) PQ = QR and UT = TS.
(2) PU = RS.
(a)
(b)
(c)
(d)
By using both statements we cannot be determined PR = US.
So, both statements together are not sufficient.
Directions:
Each of the questions below consists of a question and two statements numbered (1) and (2) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.
Q-15) What was the cost price of the suitcase purchased by Samir?
(1) Samir got 20 per cent concession on the labelled price.
(2) Samir sold the suitcase for Rs.2000 with 25 per cent profit on the labelled price.
(a)
(b)
(c)
(d)
(2) ⇒ Labelled price = ${2000}/{125}$ × 100 = Rs.1600
(1) ⇒ C.P. of suitcase = 1600$(1 - {20}/{100})$ = Rs.1280
Hence, both the statements together are necessary to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Q-16) What is the value of x ?
(I) 2x + 4 =14
(II) x + y = 7
(a)
(b)
(c)
(d)
We can find the value of x using the statement (I) alone. While statement (II) alone are not sufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Q-17) A bag contains coins of one-rupee, 50 -paise and 25–paise denominations. The total amount in the bag is Rs.500 . To find the total number of 50–paise coins, which of the following information is sufficient?
(I) The number of the coin is in the ratio 3 : 4 : 5.
(II) The number of one rupee–coins is one– fourth the total number of coins in the bag.
(a)
(b)
(c)
(d)
(I) ⇒ 3x + 4x (0.50) + 5x (0.25) = 500
⇒ 6.25x = 500 ⇒ x = 80
∴ The total number of 50-paise coins = 4x = 320
But we can't be solved the question using statement (II).
Hence statement (I) alone is sufficient to answer the question.
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Q-18) Is $(x^2 – y^2)$ an odd number ?
(I) x and y are integers.
(II) x y + is an odd number.
(a)
(b)
(c)
(d)
From I, we cannot say that $(x^2 – y^2)$ is odd or even.
Statement (II) ⇒ x + y is odd ⇒ x is even and y is odd or vice versa.
⇒ x - y is odd ⇒ $(x^2 - y^2)$ is odd
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Q-19) What is the value of m – n ÷ 37?
(I) m is the largest possible six-digit number and n is the smallest possible six-digit number.
(II) The diffierence between m and n is known.
(a)
(b)
(c)
(d)
(I) ⇒ m = 999999, n = 100000
∴ We can find the value of m – 7 ÷ 37
(II) ⇒ m – n = known, but neither the value of 'm' is known nor the value of 'n' is known. So, we cannot find the values of m – n ÷ 37 .
Directions:
Each of the questions below consists of a question and two statements numbered (I) and (II) given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer
Q-20) In ΔABC, find r if AB = 5 and q = 40°
(I) BC = 5
(II) r > p
(a)
(b)
(c)
(d)
(I) ⇒ BC = 5 = AB
⇒ p = q = 40°
⇒ r = 180° – (40 + 40)
Hence, r can be determined by using (I) alone.
(II) ⇒ it is not sufficient to answer the question.