Q) In a TV show, a contestant opts for video call a friend life line to get an answer from three of his friends, named Amar, Akbar & Anthony. The question which he asks from one of his friends has four options. Find the probability that: (a) Akbar is chosen for the call. (b) Akbar […]
Class 10th
Q) If x, y and z are in continued proportion, Prove that: ICSE Specimen Question Paper (SQP)2025 Ans: Step 1: we know that if x, y and z are in continued proportion, then, y 2 = x z ……….. (i) Step 2: Let’s solve LHS: = = Step 3: By substituting y 2 = x
If x, y and z are in continued proportion, Prove that: Read More »
Q) A manufacturing company prepares spherical ball bearings, each of radius 7 mm and mass 4 gm. These ball bearings are packed into boxes. Each box can have maximum of 2156 cm 3 of ball bearings. Find the: (a) maximum number of ball bearings that each box can have. (b) mass of each box of ball
Q) The table given below shows the runs scored by a cricket team during the overs of a match. Estimate the modal runs scored. ICSE Specimen Question Paper (SQP)2025 Ans: Since the modal class is the class with the highest frequency. In the given question, class “50 – 650” has 60 frequency which is the
Q) An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms is twice the sum of the first 5 terms. Find the common difference of the A.P. ICSE Specimen Question Paper (SQP)2025 Ans: It is given that first term, a = 3 (given). Let’s consider the common difference
An Arithmetic Progression (A.P.) has 3 as its first term. The sum of the first 8 terms Read More »
Q) The roots of equation (q – r) x² + (r – p) x + (p – q) = 0 are equal. Prove that: 2q = p + r, that is, p, q & r are in A.P. ICSE Specimen Question Paper (SQP)2025 Ans: Step 1: Given the polynomial: (q – r) x 2 + (r
The roots of equation (q-r) x² + (r-p) x + (p-q)=0 are equal. Read More »
Q. A car travels a distance of 72 km at a certain average speed of X km per hour and then travels a distance of 81 km at an average speed of 6 km per hour more than its original average speed. If it takes 3 hours to complete the total journey then form a
Q) Given that 2 is a root of the equation 3×2 – p(x + 1) =0 and that the equation px2 – qx + 9 = 0 has equal roots, find the value of p and q. Ans: Step 1: Since 2 is a root of the equation 3 x2 – p (x + 1) =0, therefore it
Q) A man has a Recurring Deposit Account in a bank for 3½ years. If the rate of interest is 12% per annum and the man gets Rs. 10,206 on maturity, find the value of monthly instalments. Ans: Given that: RD tenure = 3.5 years = 42 months Rate of Interest = 12% p.a. Maturity amount
Q) Mr Gupta opened a recurring deposit account in a bank. He deposited Rs. 2500 per month for two years. At the time of maturity, he got Rs. 67,500. Find:(i) The total interest earned by Mr Gupta.(ii) The rate of interest per annum Ans: (i) Total Interest earned Let’s consider time period be ‘n’ months
A man invests Rs. 11,200 in a company paying 6% per annum when its Rs. 100 shares can be Read More »