91- 6303239042
The three-digit number $$3a4$$ is added to 278 to obtain another three-digit number $$6b2$$, where $$a$$ and $$b$$ are digits. If $$6b2$$ is divisible by 9, then $$a + b = $$
Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
The three-digit number $$3a4$$ is added to 278 to obtain another three-digit number $$6b2$$, where $$a$$ and $$b$$ are digits. If $$6b2$$ is divisible by 9, then $$a + b = $$
Since $$6b2$$ is divisible by 9, the digit sum $$6 + b + 2 = 8 + b$$ must be a multiple of 9, which forces $$b = 1$$. Then $$6b2 = 612$$ and $$3a4 = 612 - 278 = 334$$, so $$a = 3$$. Hence $$a + b = 3 + 1 = 4$$.
In an AMTI workshop, the ratio of number of boys to the number of girls was $$5 \colon 8$$. If there are total 65 students in the workshop, how many more girls were there in the workshop than boys?
Loading solution...
A person covers first 1.5 km at 5 km/h and next 3 km at 6 km/h, then his average speed is
Loading solution...
.webp)
A triangle and a square have equal perimeters. The lengths of three sides of the triangle are 7.4 cm, 5.7 cm, 6.9 cm. Then area of the square is ______ square cm.
Loading solution...
Ramanujan Primary School has 1200 students. Each class has 30 students. Each student takes 5 sessions a day and each teacher teaches 4 sessions a day. What is the minimum number of teachers in the School?
Loading solution...
In a magic triangle of addition, each of six natural numbers from 21 to 26 is placed in one of the six empty circles such that the sum $$S$$ of the three numbers from the circles along each side would be the same. Then the maximum possible value of $$S$$ is
Loading solution...
.webp)
A ream of identical papers containing 500 sheets is 5 cm thick. How many sheets of this type of paper would be there in a 7.2 cm thick bundle?
Loading solution...
$$n = 1111\ldots11$$ is a 2026-digit number with each digit as 1. If $$n$$ is divided by 1111, then the quotient is $$Q$$ and the remainder is $$R$$, then
Loading solution...
A 'stair-step' figure is made of alternating black and white squares in each row. All rows begin and end with white square. First four figures of the stair-step figure are shown below. Fig-1 has 1 white square, Fig-2 has 3 white and 1 black squares, Fig-3 has 6 white and 3 black squares, and it continues. What is the total number of white squares in the Fig-20?
Loading solution...
.webp)
$$m$$, $$n$$, $$p$$ are all different natural numbers each between 2 and 9. If $$\frac{m + n + p}{m + n}$$ is an integer, then the number of all possible values of $$\frac{m + n + p}{m + n}$$ is
Loading solution...
$$1\frac{7}{20} \div 2.7 + 2.7 \div 1.35 + \left(0.4 \div 2\frac{1}{2}\right) \times \left(4.2 - 1\frac{3}{40}\right) = $$ ______.
Loading solution...
$$a$$ and $$b$$ are natural numbers such that $$a < b$$ and $$a \times b = 2002$$. Then the minimum value of $$b - a$$ is ______.
Loading solution...
In the adjoining figure, measure of $$\angle PQR = 120^\circ$$, measure of $$\angle PET = 40^\circ$$, and measure of $$\angle PTS = 110^\circ$$, then the measure of $$\angle PAQ = $$ ______.
Loading solution...
$$a$$, $$b$$, $$c$$, $$d$$, $$e$$ are five consecutive natural numbers. Another natural number $$n$$ always divides $$(a \times b \times c \times d \times e)$$ completely. Then the greatest possible value of $$n$$ is ______.
Loading solution...
An army general wanted to make a square arrangement of his soldiers. There were 2350 soldiers. After completing the square arrangement, he found that 46 soldiers were left over. Hence the number of soldiers in each row of the square arrangement is ______.
Loading solution...
ABGH is a rectangle, CDFG is a square. B is the midpoint of CG and E is the midpoint of DF. The length of the rectangle ABGH is three times of its breadth. The area of the shaded region is $$80\,\text{cm}^2$$. Then the perimeter of ABCDFGHIA is ______ cm.
Loading solution...
80% of $$a$$ is equal to 16% of $$b$$. $$b$$ is $$x\%$$ of $$a$$, then 20% of $$x$$ is ______.
Loading solution...
In the adjoining figure, $$\triangle ABC$$ is isosceles triangle with $$CA = CB$$. $$\angle ABC = 50^\circ$$, point $$D$$ is on side $$AB$$ such that $$\angle BCD = 46^\circ$$. Let $$\angle CAB = y$$, $$\angle ADC = x$$, $$\angle FCE = z$$, then $$x - y + 2z = $$ ______ degrees.
Loading solution...
A man drove from 7.45 am to 9.15 am (on the same day) and covered 84 kilometer. Then his driving speed is ______ km/h.
Loading solution...
In the addition of two 2-digit numbers, each blank space, including those in the answer, is to be filled with one of the digits 0, 1, 2, 3, 4, 5, 6, each used exactly once. The unit's place digit of the sum is ______.
Loading solution...
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation
Share