Quantitative Basic / IQ
Q. If numerator is greater or equal to denominator, the fraction is?
Answer: Improper
Q. What is the 101st term of the sequence 1, 4, 7, 10…?
Answer: 301
Q. A total of 129,000 is divided among 5 sons, 4 daughters, and 3 nephews… What is the amount each nephew gets?
Answer: 3000
Q. If 1/8th pencil is black, 1/4th pencil is white and remaining 5.25 cm is grey – total length?
Answer: 8.4 cm
Q. If our circle has 4 m radius and had covered 14 m on circumference. Find displacement.
Answer: 7.86 m
Q. If sin(60° + X) = cos(30°), then the value of X is:
Answer: 0°
Q. If x + y = 6 and xy = 5, then x² + y² is?
Answer: 26
Q. Which of the following is an arithmetic sequence?
Answer: 31, 32, 33, 34
Q. Which of the following is irrational?
Answer: √11
Q. If abc = a² and ac = 2, what is the value of b?
Answer: a/2
Q. If 2ᵃ · 2ᵇ = 3ᶜ, what is the value of (a + b)/c?
Answer: log₂(3)
Q. If first frequency is 1 Hz and wave split into 4, second frequency is?
Answer: 0.25 Hz
Q. Two successive discounts of 10% and 15%, total effective discount?
Answer: 23.5%
Q. In how many ways can 5 children be arranged in a line?
Answer: 120
Q. If 4 members are to be seated from a group of 6, arrangements?
Answer: 360
Q. Solution set of |-x| = 0?
Answer: {0}
Q. Average of 75, 80, 85… number cannot be less than?
Answer: 60%
Q. If radius of a circle is 5 m, diameter is?
Answer: 10 meters
Q. An angle = 90 degrees is called?
Answer: right angle
Q. Median term relates with?
Answer: Triangle.
Q. $\sin^2 60^\circ + ___ = 1$
Answer: $\cos^2 60^\circ$.
Q. Eliminate t from x=t and y=t²?
Answer: $x^2 = y$.
Q. What is $X^0$ equal to?
Answer: 1.
Q. Circumference of a circle is 154 cm. Find the radius:
Answer: 24.5 cm.
Q. A three by three matrix has how many diagonals?
Answer: 2.
Q. What is the ratio of the circumference of a circle to its radius?
Answer: $2\pi$.
Q. If the price of 1 dozen eggs is 12 rupees, then the price of 2 and a half dozen eggs is?
Answer: 30 rupees.
Q. What is the reverse order of the number “Five Thousand Two Hundred Twenty Five”?
Answer: Twenty Five Two Hundred Five Thousand.
Q. If the 4th day of the month is Monday, then what is the 25th day of the month?
Answer: Monday.
Q. What is the 70% of 70?
Answer: 49.
Q. $\sin^2 \theta + \cos^2 \theta$ is equal to?
Answer: 1.
Q. If x=t and y=m, then what is the value of $(y−x)^n$?
Answer: $(m−t)^n$.
Q. What are the roots of the equation $x^2−5x+6=0$?
Answer: x = 2, x = 3.
Q. A set of a finite number of elements is simply called a?
Answer: Finite set.
Q. Divide $1/4 + 1/4 =$ ?
Answer: $1/2$.
Q. $1/8+1/8+1/8+1/8=$ ?
Answer: $1/2$.
Q. If 1 man writes 5 papers in 5 minutes, then 1 man will write 1 paper in:
Answer: 1 minute.
Q. Out of 500 students, 360 are boys. The percentage of girls is:
Answer: 28%.
Q. If $\log_{10}x=5$, then x=?
Answer: $10^5$.
Q. If $x=\sqrt{2}-1$, then $x^2$=?
Answer: $3-2\sqrt{2}$.
Q. There are _____ months in a year having 31 days.
Answer: 7.
Q. If there are 5 apple boxes weighing 50 kg each, and the empty box is 5 kg, what is the weight of the apples?
Answer: 225 kg.
Q. One third of 10% of 120 is?
Answer: 4.
Q. 9 birds, 2 cows, 3 dogs, How many legs?
Answer: 38.
Q. 2 cats, 2 dogs, 2 pigeons, Find the number of legs?
Answer: 20.
Q. Find 60% of 70?
Answer: 42.
Q. A is B’s son, C’s father is F. F is D’s son and B is D’s daughter. How is A related to F?
Answer: Nephew.
Q. What is the derivative of $\sin^2 x$?
Answer: $2\sin x \cos x$.
Q. Which of the following represents the commutative property?
Answer: $A \cup B = B \cup A$.
Q. What is the range of cosec?
Answer: $y \leq -1$ or $y \geq 1$.
Q. If A or B is zero in the equation $Ax^2 + By^2 + Gx + Fy + c = 0$, then the conic is?
Answer: Parabola.
Q. The phenomenon where light bends around corners is?
Answer: Diffraction.
Q. If A and B have the same signs in $Ax^2 + By^2 + Gx + Fy + c = 0$, then the conic is?
Answer: Ellipse.
Q. If A is a proper subset of B, then $A−B$ is?
Answer: ∅.
Q. For two non-empty sets A and B, $B−A$ equals?
Answer: ${x \mid x \notin A \text{ and } x \in B}$.
Q. If A is south of B and C is east of B, in which direction is A with respect to C?
Answer: South-West.
Q. If a>b, b>c, and d>a then?
Answer: $c<d$.
Q. If A={1,2,3,4,5} and B={1,2,5,9} then they are?
Answer: Overlapping sets.
Q. If A={1,2,3,4,6} and B={2,4,5,7} then B−A=?
Answer: {5,7}.
Q. If f is a function from A to B, then f is an “into” function if?
Answer: Range $f \ne B$.
Q. If A={c,d,b,h} and B={m,p,f,h} then $A \cup B$=?
Answer: {c,d,b,h,m,p,f}.
Q. What is the range of cot(x)?
Answer: The set of all real numbers.
Q. What is the derivative of tan(x)?
Answer: $\sec^2(x)$.
